Character Table info for M22.2
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Name:
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M22.2
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Group order:
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887040 = 28 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 11
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Number of classes:
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21
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11],
constructions: Aut(M22)
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
3 |
144 |
6160 |
32:Q8.2 |
3^2:Q8.2 |
5 |
40 |
22176 |
2 × 5:4 |
2x5:4 |
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Available Brauer tables:
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Atlas representations:
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56 available
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Group constructions in GAP:
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AtlasGroup( "M22.2" )
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AtlasStabilizer( "HS.2", "HSd2G1-p100B0" )
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AtlasStabilizer( "M24", "M24G1-p276B0" )
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AtlasStabilizer( "U6(2).2", "U62d2G1-p20736B0" )
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AtlasSubgroup( "HS.2", 2 )
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AtlasSubgroup( "J4", 6 )
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AtlasSubgroup( "M24", 2 )
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AutomorphismGroup( AtlasGroup( "M22" ) )
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PrimitiveGroup( 22, 2 )
,
PrimitiveGroup( 77, 2 )
,
PrimitiveGroup( 231, 2 )
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PrimitiveGroup( 330, 2 )
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PrimitiveGroup( 616, 2 )
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PrimitiveGroup( 672, 6 )
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TransitiveGroup( 22, 41 )
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Stored class fusions from this table:
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210:M22:2,
210:M22:2,
HS.2,
J4,
M24,
U6(2).2
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Stored class fusions to this table:
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2.M22.2,
210:M22:2,
2 × 23:L3(2),
2 × 5:4,
2 × 7:3,
3.M22.2,
32:Q8.2,
4.M22.2,
6.M22.2,
11:10,
12.M22.2,
A6.22,
210:M22:2,
Isoclinic(2.M22.2),
Isoclinic(4.M22.2),
Isoclinic(6.M22.2),
Isoclinic(12.M22.2),
L2(11).2,
L3(4).22,
M22,
24:S6,
25:S5,
S4 × S3,
s4 ≀ s2