# Extensions 1→N→G→Q→1 with N=Q8×C15 and Q=C4

Direct product G=N×Q with N=Q8×C15 and Q=C4
dρLabelID
Q8×C60480Q8xC60480,924

Semidirect products G=N:Q with N=Q8×C15 and Q=C4
extensionφ:Q→Out NdρLabelID
(Q8×C15)⋊1C4 = Dic102Dic3φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):1C4480,314
(Q8×C15)⋊2C4 = D202Dic3φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):2C4480,315
(Q8×C15)⋊3C4 = Q8×C3⋊F5φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):3C4480,1069
(Q8×C15)⋊4C4 = C3×Q8⋊F5φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):4C4480,289
(Q8×C15)⋊5C4 = C3×Q82F5φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):5C4480,290
(Q8×C15)⋊6C4 = C3×Q8×F5φ: C4/C1C4 ⊆ Out Q8×C151208(Q8xC15):6C4480,1056
(Q8×C15)⋊7C4 = Q82Dic15φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):7C4480,195
(Q8×C15)⋊8C4 = Q83Dic15φ: C4/C2C2 ⊆ Out Q8×C151204(Q8xC15):8C4480,197
(Q8×C15)⋊9C4 = Q8×Dic15φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):9C4480,910
(Q8×C15)⋊10C4 = C3×Q8⋊Dic5φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):10C4480,113
(Q8×C15)⋊11C4 = C3×D42Dic5φ: C4/C2C2 ⊆ Out Q8×C151204(Q8xC15):11C4480,115
(Q8×C15)⋊12C4 = C3×Q8×Dic5φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):12C4480,738
(Q8×C15)⋊13C4 = C5×Q82Dic3φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):13C4480,154
(Q8×C15)⋊14C4 = C5×Q83Dic3φ: C4/C2C2 ⊆ Out Q8×C151204(Q8xC15):14C4480,156
(Q8×C15)⋊15C4 = C5×Q8×Dic3φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):15C4480,824
(Q8×C15)⋊16C4 = C15×Q8⋊C4φ: C4/C2C2 ⊆ Out Q8×C15480(Q8xC15):16C4480,206
(Q8×C15)⋊17C4 = C15×C4≀C2φ: C4/C2C2 ⊆ Out Q8×C151202(Q8xC15):17C4480,207

Non-split extensions G=N.Q with N=Q8×C15 and Q=C4
extensionφ:Q→Out NdρLabelID
(Q8×C15).1C4 = D20.Dic3φ: C4/C1C4 ⊆ Out Q8×C152408(Q8xC15).1C4480,1068
(Q8×C15).2C4 = C3×Q8.F5φ: C4/C1C4 ⊆ Out Q8×C152408(Q8xC15).2C4480,1055
(Q8×C15).3C4 = D4.Dic15φ: C4/C2C2 ⊆ Out Q8×C152404(Q8xC15).3C4480,913
(Q8×C15).4C4 = C3×D4.Dic5φ: C4/C2C2 ⊆ Out Q8×C152404(Q8xC15).4C4480,741
(Q8×C15).5C4 = C5×D4.Dic3φ: C4/C2C2 ⊆ Out Q8×C152404(Q8xC15).5C4480,827
(Q8×C15).6C4 = C15×C8○D4φ: trivial image2402(Q8xC15).6C4480,936

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