Extensions 1→N→G→Q→1 with N=C6×F5 and Q=C4

Direct product G=N×Q with N=C6×F5 and Q=C4
dρLabelID
F5×C2×C12120F5xC2xC12480,1050

Semidirect products G=N:Q with N=C6×F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×F5)⋊1C4 = D10.20D12φ: C4/C2C2 ⊆ Out C6×F5120(C6xF5):1C4480,243
(C6×F5)⋊2C4 = C2×Dic3×F5φ: C4/C2C2 ⊆ Out C6×F5120(C6xF5):2C4480,998
(C6×F5)⋊3C4 = C3×D10.3Q8φ: C4/C2C2 ⊆ Out C6×F5120(C6xF5):3C4480,286

Non-split extensions G=N.Q with N=C6×F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×F5).1C4 = F5×C3⋊C8φ: C4/C2C2 ⊆ Out C6×F51208(C6xF5).1C4480,223
(C6×F5).2C4 = C30.3C42φ: C4/C2C2 ⊆ Out C6×F51208(C6xF5).2C4480,225
(C6×F5).3C4 = C3×C8⋊F5φ: C4/C2C2 ⊆ Out C6×F51204(C6xF5).3C4480,272
(C6×F5).4C4 = F5×C24φ: trivial image1204(C6xF5).4C4480,271

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