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Extensions 1→N→G→Q→1 with N=C3xM4(2) and Q=C6

Direct product G=NxQ with N=C3xM4(2) and Q=C6
dρLabelID
M4(2)xC3xC6144M4(2)xC3xC6288,827

Semidirect products G=N:Q with N=C3xM4(2) and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xM4(2)):1C6 = C3xC8:D6φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):1C6288,679
(C3xM4(2)):2C6 = C3xC8.D6φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):2C6288,680
(C3xM4(2)):3C6 = C32xC8:C22φ: C6/C3 → C2 ⊆ Out C3xM4(2)72(C3xM4(2)):3C6288,833
(C3xM4(2)):4C6 = C32xC8.C22φ: C6/C3 → C2 ⊆ Out C3xM4(2)144(C3xM4(2)):4C6288,834
(C3xM4(2)):5C6 = C3xS3xM4(2)φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):5C6288,677
(C3xM4(2)):6C6 = C3xD12.C4φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):6C6288,678
(C3xM4(2)):7C6 = C3xC12.46D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):7C6288,257
(C3xM4(2)):8C6 = C3xD12:C4φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)):8C6288,259
(C3xM4(2)):9C6 = C32xC4.D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)72(C3xM4(2)):9C6288,318
(C3xM4(2)):10C6 = C32xC4wrC2φ: C6/C3 → C2 ⊆ Out C3xM4(2)72(C3xM4(2)):10C6288,322
(C3xM4(2)):11C6 = C32xC8oD4φ: trivial image144(C3xM4(2)):11C6288,828

Non-split extensions G=N.Q with N=C3xM4(2) and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xM4(2)).1C6 = C9xC8:C22φ: C6/C3 → C2 ⊆ Out C3xM4(2)724(C3xM4(2)).1C6288,186
(C3xM4(2)).2C6 = C9xC8.C22φ: C6/C3 → C2 ⊆ Out C3xM4(2)1444(C3xM4(2)).2C6288,187
(C3xM4(2)).3C6 = C9xC4.D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)724(C3xM4(2)).3C6288,50
(C3xM4(2)).4C6 = C9xC4.10D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)1444(C3xM4(2)).4C6288,51
(C3xM4(2)).5C6 = C9xC4wrC2φ: C6/C3 → C2 ⊆ Out C3xM4(2)722(C3xM4(2)).5C6288,54
(C3xM4(2)).6C6 = C9xC8.C4φ: C6/C3 → C2 ⊆ Out C3xM4(2)1442(C3xM4(2)).6C6288,58
(C3xM4(2)).7C6 = C3xC12.53D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)).7C6288,256
(C3xM4(2)).8C6 = C3xC12.47D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)484(C3xM4(2)).8C6288,258
(C3xM4(2)).9C6 = C32xC4.10D4φ: C6/C3 → C2 ⊆ Out C3xM4(2)144(C3xM4(2)).9C6288,319
(C3xM4(2)).10C6 = C32xC8.C4φ: C6/C3 → C2 ⊆ Out C3xM4(2)144(C3xM4(2)).10C6288,326
(C3xM4(2)).11C6 = M4(2)xC18φ: trivial image144(C3xM4(2)).11C6288,180
(C3xM4(2)).12C6 = C9xC8oD4φ: trivial image1442(C3xM4(2)).12C6288,181

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