Character Table info for U3(3)
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Name:
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U3(3)
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Group order:
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6048 = 25 ⋅ 33 ⋅ 7
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Number of classes:
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14
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InfoText value:
-
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7]
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Maximal subgroups:
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|
Order |
Index |
Structure |
Name |
1 |
216 |
28 |
31+2:8 |
3^(1+2):8 |
2 |
168 |
36 |
L3(2) |
L3(2) |
3 |
96 |
63 |
4.s4 |
4.s4 |
4 |
96 |
63 |
42:S3 |
4^2:s3 |
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Stored Sylow p normalizers:
-
p |
Order |
Index |
Structure |
Name |
2 |
32 |
189 |
M12C4 |
M12C4 |
3 |
216 |
28 |
31+2:8 |
3^(1+2):8 |
7 |
21 |
288 |
7:3 |
7:3 |
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Available Brauer tables:
-
-
Atlas representations:
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36 available
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Group constructions in GAP:
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AtlasGroup( "U3(3)" )
,
AtlasStabilizer( "J2", "J2G1-p100B0" )
,
AtlasSubgroup( "J2", 1 )
,
AtlasSubgroup( "J4", 10 )
,
AtlasSubgroup( "U3(3).2", 1 )
,
PSU( 3, 3 )
,
PerfectGroup( 6048, 1 )
,
PrimitiveGroup( 28, 4 )
,
PrimitiveGroup( 36, 6 )
,
PrimitiveGroup( 63, 1 )
,
PrimitiveGroup( 63, 3 )
,
TransitiveGroup( 28, 323 )
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Stored class fusions from this table:
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26:u3(3),
J2,
J4,
L3(9),
P49/G1/L1/V1/ext3,
U3(3).2,
U4(3)
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Stored class fusions to this table:
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26:u3(3),
31+2:8,
4.s4,
42:S3,
7:3,
L3(2),
M12C4,
P49/G1/L1/V1/ext2,
P49/G1/L1/V1/ext3,
P49/G1/L1/V2/ext3