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Extensions 1→N→G→Q→1 with N=C3×C4⋊C4 and Q=C10

Direct product G=N×Q with N=C3×C4⋊C4 and Q=C10
dρLabelID
C4⋊C4×C30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C3×C4⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4)⋊1C10 = C5×C6.D8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):1C10480,128
(C3×C4⋊C4)⋊2C10 = C5×S3×C4⋊C4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):2C10480,770
(C3×C4⋊C4)⋊3C10 = C5×C4⋊C4⋊7S3φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):3C10480,771
(C3×C4⋊C4)⋊4C10 = C5×Dic3⋊5D4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):4C10480,772
(C3×C4⋊C4)⋊5C10 = C5×D6.D4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):5C10480,773
(C3×C4⋊C4)⋊6C10 = C5×C12⋊D4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):6C10480,774
(C3×C4⋊C4)⋊7C10 = C5×D6⋊Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):7C10480,775
(C3×C4⋊C4)⋊8C10 = C5×C4.D12φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):8C10480,776
(C3×C4⋊C4)⋊9C10 = C5×C4⋊C4⋊S3φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):9C10480,777
(C3×C4⋊C4)⋊10C10 = C15×D4⋊C4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):10C10480,205
(C3×C4⋊C4)⋊11C10 = C15×C4⋊D4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):11C10480,926
(C3×C4⋊C4)⋊12C10 = C15×C22⋊Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):12C10480,927
(C3×C4⋊C4)⋊13C10 = C15×C22.D4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):13C10480,928
(C3×C4⋊C4)⋊14C10 = C15×C42⋊2C2φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):14C10480,931
(C3×C4⋊C4)⋊15C10 = C15×C42⋊C2φ: trivial image240(C3xC4:C4):15C10480,922
(C3×C4⋊C4)⋊16C10 = D4×C60φ: trivial image240(C3xC4:C4):16C10480,923

Non-split extensions G=N.Q with N=C3×C4⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4).1C10 = C5×C6.Q16φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).1C10480,126
(C3×C4⋊C4).2C10 = C5×C12.Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).2C10480,127
(C3×C4⋊C4).3C10 = C5×C6.SD16φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).3C10480,129
(C3×C4⋊C4).4C10 = C5×Dic6⋊C4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).4C10480,766
(C3×C4⋊C4).5C10 = C5×C12⋊Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).5C10480,767
(C3×C4⋊C4).6C10 = C5×Dic3.Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).6C10480,768
(C3×C4⋊C4).7C10 = C5×C4.Dic6φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).7C10480,769
(C3×C4⋊C4).8C10 = C15×Q8⋊C4φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).8C10480,206
(C3×C4⋊C4).9C10 = C15×C4.Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).9C10480,209
(C3×C4⋊C4).10C10 = C15×C2.D8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).10C10480,210
(C3×C4⋊C4).11C10 = C15×C42.C2φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).11C10480,930
(C3×C4⋊C4).12C10 = C15×C4⋊Q8φ: C10/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).12C10480,933
(C3×C4⋊C4).13C10 = Q8×C60φ: trivial image480(C3xC4:C4).13C10480,924

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