Extensions 1→N→G→Q→1 with N=C2×C3⋊F5 and Q=C4

Direct product G=N×Q with N=C2×C3⋊F5 and Q=C4
dρLabelID
C2×C4×C3⋊F5120C2xC4xC3:F5480,1063

Semidirect products G=N:Q with N=C2×C3⋊F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C3⋊F5)⋊1C4 = D10.20D12φ: C4/C2C2 ⊆ Out C2×C3⋊F5120(C2xC3:F5):1C4480,243
(C2×C3⋊F5)⋊2C4 = C2×Dic3×F5φ: C4/C2C2 ⊆ Out C2×C3⋊F5120(C2xC3:F5):2C4480,998
(C2×C3⋊F5)⋊3C4 = D10.10D12φ: C4/C2C2 ⊆ Out C2×C3⋊F5120(C2xC3:F5):3C4480,311

Non-split extensions G=N.Q with N=C2×C3⋊F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C3⋊F5).1C4 = C30.C42φ: C4/C2C2 ⊆ Out C2×C3⋊F51208(C2xC3:F5).1C4480,224
(C2×C3⋊F5).2C4 = C30.4C42φ: C4/C2C2 ⊆ Out C2×C3⋊F51208(C2xC3:F5).2C4480,226
(C2×C3⋊F5).3C4 = C24⋊F5φ: C4/C2C2 ⊆ Out C2×C3⋊F51204(C2xC3:F5).3C4480,297
(C2×C3⋊F5).4C4 = C8×C3⋊F5φ: trivial image1204(C2xC3:F5).4C4480,296

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