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Extensions 1→N→G→Q→1 with N=C3×C22⋊C4 and Q=C6

Direct product G=N×Q with N=C3×C22⋊C4 and Q=C6
dρLabelID
C22⋊C4×C3×C6144C2^2:C4xC3xC6288,812

Semidirect products G=N:Q with N=C3×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4)⋊1C6 = C3×C23.6D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4244(C3xC2^2:C4):1C6288,240
(C3×C22⋊C4)⋊2C6 = C32×C23⋊C4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C472(C3xC2^2:C4):2C6288,317
(C3×C22⋊C4)⋊3C6 = C3×D6⋊D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):3C6288,653
(C3×C22⋊C4)⋊4C6 = C3×C23.21D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):4C6288,657
(C3×C22⋊C4)⋊5C6 = C3×C23.9D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):5C6288,654
(C3×C22⋊C4)⋊6C6 = C3×Dic3⋊D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):6C6288,655
(C3×C22⋊C4)⋊7C6 = C3×C23.11D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):7C6288,656
(C3×C22⋊C4)⋊8C6 = C3×S3×C22⋊C4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):8C6288,651
(C3×C22⋊C4)⋊9C6 = C3×Dic3⋊4D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4):9C6288,652
(C3×C22⋊C4)⋊10C6 = C32×C22≀C2φ: C6/C3 → C2 ⊆ Out C3×C22⋊C472(C3xC2^2:C4):10C6288,817
(C3×C22⋊C4)⋊11C6 = C32×C4⋊D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4):11C6288,818
(C3×C22⋊C4)⋊12C6 = C32×C22.D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4):12C6288,820
(C3×C22⋊C4)⋊13C6 = C32×C4.4D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4):13C6288,821
(C3×C22⋊C4)⋊14C6 = D4×C3×C12φ: trivial image144(C3xC2^2:C4):14C6288,815

Non-split extensions G=N.Q with N=C3×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4).1C6 = C9×C23⋊C4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4724(C3xC2^2:C4).1C6288,49
(C3×C22⋊C4).2C6 = C3×Dic3.D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4).2C6288,649
(C3×C22⋊C4).3C6 = C3×C23.8D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4).3C6288,650
(C3×C22⋊C4).4C6 = C3×C23.16D6φ: C6/C3 → C2 ⊆ Out C3×C22⋊C448(C3xC2^2:C4).4C6288,648
(C3×C22⋊C4).5C6 = C9×C22≀C2φ: C6/C3 → C2 ⊆ Out C3×C22⋊C472(C3xC2^2:C4).5C6288,170
(C3×C22⋊C4).6C6 = C9×C4⋊D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).6C6288,171
(C3×C22⋊C4).7C6 = C9×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).7C6288,172
(C3×C22⋊C4).8C6 = C9×C22.D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).8C6288,173
(C3×C22⋊C4).9C6 = C9×C4.4D4φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).9C6288,174
(C3×C22⋊C4).10C6 = C9×C42⋊2C2φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).10C6288,176
(C3×C22⋊C4).11C6 = C32×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).11C6288,819
(C3×C22⋊C4).12C6 = C32×C42⋊2C2φ: C6/C3 → C2 ⊆ Out C3×C22⋊C4144(C3xC2^2:C4).12C6288,823
(C3×C22⋊C4).13C6 = C22⋊C4×C18φ: trivial image144(C3xC2^2:C4).13C6288,165
(C3×C22⋊C4).14C6 = C9×C42⋊C2φ: trivial image144(C3xC2^2:C4).14C6288,167
(C3×C22⋊C4).15C6 = D4×C36φ: trivial image144(C3xC2^2:C4).15C6288,168
(C3×C22⋊C4).16C6 = C32×C42⋊C2φ: trivial image144(C3xC2^2:C4).16C6288,814

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