Character Table info for M24
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Name:
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M24
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Group order:
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244823040 = 210 ⋅ 33 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 23
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Number of classes:
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26
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,23]
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Maximal subgroups:
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Stored Sylow p normalizers:
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Available Brauer tables:
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Atlas representations:
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67 available
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Group constructions in GAP:
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AtlasGroup( "M24" )
,
MathieuGroup( 24 )
,
PrimitiveGroup( 24, 1 )
,
PrimitiveGroup( 276, 4 )
,
PrimitiveGroup( 759, 1 )
,
PrimitiveGroup( 1288, 2 )
,
PrimitiveGroup( 1771, 2 )
,
PrimitiveGroup( 2024, 1 )
,
PrimitiveGroup( 3795, 1 )
,
TransitiveGroup( 24, 24680 )
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Stored class fusions from this table:
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211:M24,
J4,
211:M24
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Stored class fusions to this table:
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2.211:M24,
24:A8,
26:3.S6,
26:31+2.D8,
26:(L3(2) × S3),
211:M24,
212.M24,
22+2+4.(S3 × S3),
22+11+22.(M24 × S3),
23+1+3.L3(2),
3.A6.21,
32.2.S4,
31+2:D8,
7:3 × S3,
11:10,
23:11,
(A4 × D10).2,
211.M24,
L2(23),
L3(2),
L3(2) × S3,
L3(4).3.22,
M12.2,
M22.2,
M23,
M24C2A,
22.24.S5,
M24N2,
NRS(M24, 2(2+2+4)a),
NRS(M24, 24+4),
NRS(M24, [29]a),
NRS(M24, [29]b),
[29].S3a,
[29].S3b,
211:M24