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Extensions 1→N→G→Q→1 with N=C12×F5 and Q=C2

Direct product G=N×Q with N=C12×F5 and Q=C2
dρLabelID
F5×C2×C12120F5xC2xC12480,1050

Semidirect products G=N:Q with N=C12×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×F5)⋊1C2 = D12⋊2F5φ: C2/C1 → C2 ⊆ Out C12×F51208-(C12xF5):1C2480,232
(C12×F5)⋊2C2 = D60⋊5C4φ: C2/C1 → C2 ⊆ Out C12×F51208+(C12xF5):2C2480,234
(C12×F5)⋊3C2 = F5×D12φ: C2/C1 → C2 ⊆ Out C12×F5608+(C12xF5):3C2480,995
(C12×F5)⋊4C2 = (C4×F5)⋊S3φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5):4C2480,985
(C12×F5)⋊5C2 = C4×S3×F5φ: C2/C1 → C2 ⊆ Out C12×F5608(C12xF5):5C2480,994
(C12×F5)⋊6C2 = C3×D4⋊F5φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5):6C2480,288
(C12×F5)⋊7C2 = C3×Q8⋊2F5φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5):7C2480,290
(C12×F5)⋊8C2 = C3×D4×F5φ: C2/C1 → C2 ⊆ Out C12×F5608(C12xF5):8C2480,1054
(C12×F5)⋊9C2 = C3×D10.C23φ: C2/C1 → C2 ⊆ Out C12×F51204(C12xF5):9C2480,1052

Non-split extensions G=N.Q with N=C12×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×F5).1C2 = F5×Dic6φ: C2/C1 → C2 ⊆ Out C12×F51208-(C12xF5).1C2480,982
(C12×F5).2C2 = F5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5).2C2480,223
(C12×F5).3C2 = C30.3C42φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5).3C2480,225
(C12×F5).4C2 = C3×Q8×F5φ: C2/C1 → C2 ⊆ Out C12×F51208(C12xF5).4C2480,1056
(C12×F5).5C2 = C3×C8⋊F5φ: C2/C1 → C2 ⊆ Out C12×F51204(C12xF5).5C2480,272
(C12×F5).6C2 = F5×C24φ: trivial image1204(C12xF5).6C2480,271

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