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Extensions 1→N→G→Q→1 with N=C3×C22≀C2 and Q=C2

Direct product G=N×Q with N=C3×C22≀C2 and Q=C2
dρLabelID
C6×C22≀C248C6xC2^2wrC2192,1410

Semidirect products G=N:Q with N=C3×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22≀C2)⋊1C2 = C24⋊6D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C2244(C3xC2^2wrC2):1C2192,591
(C3×C22≀C2)⋊2C2 = C24.67D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):2C2192,1145
(C3×C22≀C2)⋊3C2 = S3×C22≀C2φ: C2/C1 → C2 ⊆ Out C3×C22≀C224(C3xC2^2wrC2):3C2192,1147
(C3×C22≀C2)⋊4C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):4C2192,1148
(C3×C22≀C2)⋊5C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):5C2192,1149
(C3×C22≀C2)⋊6C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):6C2192,1150
(C3×C22≀C2)⋊7C2 = C24.45D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):7C2192,1151
(C3×C22≀C2)⋊8C2 = C24.46D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):8C2192,1152
(C3×C22≀C2)⋊9C2 = C24⋊9D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):9C2192,1153
(C3×C22≀C2)⋊10C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):10C2192,1154
(C3×C22≀C2)⋊11C2 = C3×C2≀C22φ: C2/C1 → C2 ⊆ Out C3×C22≀C2244(C3xC2^2wrC2):11C2192,890
(C3×C22≀C2)⋊12C2 = C3×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):12C2192,1423
(C3×C22≀C2)⋊13C2 = C3×C22.29C24φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):13C2192,1424
(C3×C22≀C2)⋊14C2 = C3×C22.32C24φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):14C2192,1427
(C3×C22≀C2)⋊15C2 = C3×D42φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):15C2192,1434
(C3×C22≀C2)⋊16C2 = C3×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):16C2192,1435
(C3×C22≀C2)⋊17C2 = C3×C22.54C24φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):17C2192,1449
(C3×C22≀C2)⋊18C2 = C3×C24⋊C22φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2):18C2192,1450
(C3×C22≀C2)⋊19C2 = C3×C22.19C24φ: trivial image48(C3xC2^2wrC2):19C2192,1414

Non-split extensions G=N.Q with N=C3×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22≀C2).1C2 = C24⋊5Dic3φ: C2/C1 → C2 ⊆ Out C3×C22≀C2244(C3xC2^2wrC2).1C2192,95
(C3×C22≀C2).2C2 = C24.43D6φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2).2C2192,1146
(C3×C22≀C2).3C2 = C3×C2≀C4φ: C2/C1 → C2 ⊆ Out C3×C22≀C2244(C3xC2^2wrC2).3C2192,157
(C3×C22≀C2).4C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out C3×C22≀C248(C3xC2^2wrC2).4C2192,1440

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