Extensions 1→N→G→Q→1 with N=C22×F5 and Q=C6

Direct product G=N×Q with N=C22×F5 and Q=C6
dρLabelID
F5×C22×C6120F5xC2^2xC6480,1205

Semidirect products G=N:Q with N=C22×F5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×F5)⋊C6 = C2×A4×F5φ: C6/C2C3 ⊆ Out C22×F53012+(C2^2xF5):C6480,1192
(C22×F5)⋊2C6 = C3×D4×F5φ: C6/C3C2 ⊆ Out C22×F5608(C2^2xF5):2C6480,1054
(C22×F5)⋊3C6 = C6×C22⋊F5φ: C6/C3C2 ⊆ Out C22×F5120(C2^2xF5):3C6480,1059

Non-split extensions G=N.Q with N=C22×F5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×F5).1C6 = C3×D10.3Q8φ: C6/C3C2 ⊆ Out C22×F5120(C2^2xF5).1C6480,286
(C22×F5).2C6 = C6×C4⋊F5φ: C6/C3C2 ⊆ Out C22×F5120(C2^2xF5).2C6480,1051
(C22×F5).3C6 = F5×C2×C12φ: trivial image120(C2^2xF5).3C6480,1050

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