Character Table info for 5:4
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Name:
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5:4
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Group order:
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20 = 22 ⋅ 5
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Number of classes:
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5
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InfoText value:
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2nd maximal subgroup of A5.2,
constructions: AGL(1,5)
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Group constructions in GAP:
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AGL( 1, 5 ),
AtlasStabilizer( "A5.2", "S5G1-p6B0" ),
AtlasStabilizer( "Sz(8)", "Sz8G1-p1456B0" ),
AtlasSubgroup( "A5.2", 3 ),
AtlasSubgroup( "Sz(8)", 3 ),
PrimitiveGroup( 5, 3 ),
SmallGroup( 20, 3 ),
SuzukiGroup( 2 ),
TransitiveGroup( 5, 3 ),
TransitiveGroup( 10, 4 ),
TransitiveGroup( 20, 5 )
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Stored class fusions from this table:
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2 × 5:4,
5:4 × 3,
S5,
S6,
A6.23,
A7,
L3(4).21,
L3(4).22,
M11,
M22,
Sz(8),
U4(2),
U4(3)
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Stored class fusions to this table:
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3 × 5:8,
3 × Isoclinic(2 × 5:8),
5:8,
(2.A5 × D10).2,
(32:4 × D10).2,
(32:D8 × D10).2,
(31+2:4 × D10).2,
(3 × D10).2,
(A4 × D10).2,
(A5 × D10).2,
(D10 × 2.(A5 × A5).2).2,
(D10 × 23.L3(2)).2,
(D10 × 3.A6).23,
(D10 × (A5 × A5).2).2,
(D10 × A6).2,
(D10 × A9).2,
(D10 × HN).2,
(D10 × J2).2,
(D10 × U3(5)).2,
D10,
Isoclinic(2 × 5:8),
S3 × 5:4