Character Table info for A4
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Name:
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a4
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Group order:
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12 = 22 ⋅ 3
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Number of classes:
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4
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InfoText value:
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origin: CAS library,
names:= a4; psl[2,3]
a1(3) (lie-not.)
order: 2^2.3 = 12
number of classes: 4
source: generated by dixon-algorithm aachen (1982)
comments: alternating group, catalogue nr.12.5
test: orth, min, sym(3)
constructions: AGL(1,4),
tests: 1.o.r., pow[2,3]
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Group constructions in GAP:
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AGL( 1, 4 ),
AlternatingGroup( 4 ),
AtlasStabilizer( "A5", "A5G1-p5B0" ),
AtlasSubgroup( "A5", 1 ),
PSL( 2, 3 ),
PSU( 2, 3 ),
PSp( 2, 3 ),
PrimitiveGroup( 4, 1 ),
SmallGroup( 12, 3 ),
TransitiveGroup( 4, 4 ),
TransitiveGroup( 6, 4 ),
TransitiveGroup( 12, 4 )
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Stored class fusions from this table:
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A5,
L2(13),
L2(27),
S4,
S4
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Stored class fusions to this table:
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2.L2(3),
24:A4