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Extensions 1→N→G→Q→1 with N=C6×Dic3 and Q=C4

Direct product G=N×Q with N=C6×Dic3 and Q=C4
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C6×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Dic3)⋊1C4 = C62.31D4φ: C4/C1 → C4 ⊆ Out C6×Dic3244(C6xDic3):1C4288,228
(C6×Dic3)⋊2C4 = C3×C23.6D6φ: C4/C1 → C4 ⊆ Out C6×Dic3244(C6xDic3):2C4288,240
(C6×Dic3)⋊3C4 = C62.6Q8φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3):3C4288,227
(C6×Dic3)⋊4C4 = C3×C6.C42φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3):4C4288,265
(C6×Dic3)⋊5C4 = C2×Dic3⋊Dic3φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3):5C4288,613
(C6×Dic3)⋊6C4 = C62.97C23φ: C4/C2 → C2 ⊆ Out C6×Dic348(C6xDic3):6C4288,603
(C6×Dic3)⋊7C4 = C2×Dic32φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3):7C4288,602
(C6×Dic3)⋊8C4 = C3×C23.16D6φ: C4/C2 → C2 ⊆ Out C6×Dic348(C6xDic3):8C4288,648
(C6×Dic3)⋊9C4 = C6×Dic3⋊C4φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3):9C4288,694

Non-split extensions G=N.Q with N=C6×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Dic3).1C4 = C12.14D12φ: C4/C1 → C4 ⊆ Out C6×Dic3484(C6xDic3).1C4288,208
(C6×Dic3).2C4 = C3×C12.47D4φ: C4/C1 → C4 ⊆ Out C6×Dic3484(C6xDic3).2C4288,258
(C6×Dic3).3C4 = C3⋊C8⋊Dic3φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).3C4288,202
(C6×Dic3).4C4 = C12.77D12φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).4C4288,204
(C6×Dic3).5C4 = C12.81D12φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).5C4288,219
(C6×Dic3).6C4 = C3×C24⋊C4φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).6C4288,249
(C6×Dic3).7C4 = C3×D6⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).7C4288,254
(C6×Dic3).8C4 = C2×D6.Dic3φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).8C4288,467
(C6×Dic3).9C4 = S3×C4.Dic3φ: C4/C2 → C2 ⊆ Out C6×Dic3484(C6xDic3).9C4288,461
(C6×Dic3).10C4 = Dic3×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).10C4288,200
(C6×Dic3).11C4 = C2×S3×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).11C4288,460
(C6×Dic3).12C4 = C3×Dic3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).12C4288,248
(C6×Dic3).13C4 = C6×C8⋊S3φ: C4/C2 → C2 ⊆ Out C6×Dic396(C6xDic3).13C4288,671
(C6×Dic3).14C4 = C3×S3×M4(2)φ: C4/C2 → C2 ⊆ Out C6×Dic3484(C6xDic3).14C4288,677
(C6×Dic3).15C4 = Dic3×C24φ: trivial image96(C6xDic3).15C4288,247
(C6×Dic3).16C4 = S3×C2×C24φ: trivial image96(C6xDic3).16C4288,670

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