Extensions 1→N→G→Q→1 with N=C2xF5 and Q=C2xC6

Direct product G=NxQ with N=C2xF5 and Q=C2xC6
dρLabelID
F5xC22xC6120F5xC2^2xC6480,1205

Semidirect products G=N:Q with N=C2xF5 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
(C2xF5):(C2xC6) = C6xC22:F5φ: C2xC6/C6C2 ⊆ Out C2xF5120(C2xF5):(C2xC6)480,1059

Non-split extensions G=N.Q with N=C2xF5 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
(C2xF5).1(C2xC6) = C6xC4:F5φ: C2xC6/C6C2 ⊆ Out C2xF5120(C2xF5).1(C2xC6)480,1051
(C2xF5).2(C2xC6) = C3xD10.C23φ: C2xC6/C6C2 ⊆ Out C2xF51204(C2xF5).2(C2xC6)480,1052
(C2xF5).3(C2xC6) = C3xD4xF5φ: C2xC6/C6C2 ⊆ Out C2xF5608(C2xF5).3(C2xC6)480,1054
(C2xF5).4(C2xC6) = C3xQ8xF5φ: C2xC6/C6C2 ⊆ Out C2xF51208(C2xF5).4(C2xC6)480,1056
(C2xF5).5(C2xC6) = F5xC2xC12φ: trivial image120(C2xF5).5(C2xC6)480,1050

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