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

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

Semidirect products G=N:Q with N=C4×C3⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3⋊F5)⋊1C2 = D12⋊4F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208-(C4xC3:F5):1C2480,231
(C4×C3⋊F5)⋊2C2 = D60⋊2C4φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208+(C4xC3:F5):2C2480,233
(C4×C3⋊F5)⋊3C2 = D60⋊3C4φ: C2/C1 → C2 ⊆ Out C4×C3⋊F5608+(C4xC3:F5):3C2480,997
(C4×C3⋊F5)⋊4C2 = (C4×F5)⋊S3φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5):4C2480,985
(C4×C3⋊F5)⋊5C2 = C4×S3×F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F5608(C4xC3:F5):5C2480,994
(C4×C3⋊F5)⋊6C2 = Dic10⋊Dic3φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5):6C2480,313
(C4×C3⋊F5)⋊7C2 = D20⋊2Dic3φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5):7C2480,315
(C4×C3⋊F5)⋊8C2 = D4×C3⋊F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F5608(C4xC3:F5):8C2480,1067
(C4×C3⋊F5)⋊9C2 = (C2×C12)⋊6F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51204(C4xC3:F5):9C2480,1065

Non-split extensions G=N.Q with N=C4×C3⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3⋊F5).1C2 = Dic6⋊5F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208-(C4xC3:F5).1C2480,984
(C4×C3⋊F5).2C2 = C30.C42φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5).2C2480,224
(C4×C3⋊F5).3C2 = C30.4C42φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5).3C2480,226
(C4×C3⋊F5).4C2 = Q8×C3⋊F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51208(C4xC3:F5).4C2480,1069
(C4×C3⋊F5).5C2 = C24⋊F5φ: C2/C1 → C2 ⊆ Out C4×C3⋊F51204(C4xC3:F5).5C2480,297
(C4×C3⋊F5).6C2 = C8×C3⋊F5φ: trivial image1204(C4xC3:F5).6C2480,296

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