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Extensions 1→N→G→Q→1 with N=C3×Dic10 and Q=C4

Direct product G=N×Q with N=C3×Dic10 and Q=C4
dρLabelID
C12×Dic10480C12xDic10480,661

Semidirect products G=N:Q with N=C3×Dic10 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×Dic10)⋊1C4 = Dic10⋊Dic3φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):1C4480,313
(C3×Dic10)⋊2C4 = Dic10⋊2Dic3φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):2C4480,314
(C3×Dic10)⋊3C4 = Q8×C3⋊F5φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):3C4480,1069
(C3×Dic10)⋊4C4 = C3×D4⋊F5φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):4C4480,288
(C3×Dic10)⋊5C4 = C3×Q8⋊F5φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):5C4480,289
(C3×Dic10)⋊6C4 = C3×Q8×F5φ: C4/C1 → C4 ⊆ Out C3×Dic101208(C3xDic10):6C4480,1056
(C3×Dic10)⋊7C4 = C6.Dic20φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):7C4480,47
(C3×Dic10)⋊8C4 = C60.97D4φ: C4/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):8C4480,53
(C3×Dic10)⋊9C4 = Dic3×Dic10φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):9C4480,406
(C3×Dic10)⋊10C4 = C30.Q16φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):10C4480,46
(C3×Dic10)⋊11C4 = C60.96D4φ: C4/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):11C4480,52
(C3×Dic10)⋊12C4 = Dic15⋊6Q8φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):12C4480,407
(C3×Dic10)⋊13C4 = C3×D20⋊4C4φ: C4/C2 → C2 ⊆ Out C3×Dic101202(C3xDic10):13C4480,83
(C3×Dic10)⋊14C4 = C3×C20.44D4φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):14C4480,94
(C3×Dic10)⋊15C4 = C3×C10.Q16φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):15C4480,88
(C3×Dic10)⋊16C4 = C3×D20⋊7C4φ: C4/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):16C4480,103
(C3×Dic10)⋊17C4 = C3×Dic5⋊3Q8φ: C4/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10):17C4480,680

Non-split extensions G=N.Q with N=C3×Dic10 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×Dic10).1C4 = Dic10.Dic3φ: C4/C1 → C4 ⊆ Out C3×Dic102408(C3xDic10).1C4480,1066
(C3×Dic10).2C4 = C3×D4.F5φ: C4/C1 → C4 ⊆ Out C3×Dic102408(C3xDic10).2C4480,1053
(C3×Dic10).3C4 = D20.3Dic3φ: C4/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).3C4480,359
(C3×Dic10).4C4 = D20.2Dic3φ: C4/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).4C4480,360
(C3×Dic10).5C4 = C3×D20.2C4φ: C4/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).5C4480,700
(C3×Dic10).6C4 = C3×D20.3C4φ: trivial image2402(C3xDic10).6C4480,694

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