Extensions 1→N→G→Q→1 with N=C2×F5 and Q=C6

Direct product G=N×Q with N=C2×F5 and Q=C6
dρLabelID
C2×C6×F560C2xC6xF5240,200

Semidirect products G=N:Q with N=C2×F5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×F5)⋊C6 = C3×C22⋊F5φ: C6/C3C2 ⊆ Out C2×F5604(C2xF5):C6240,117

Non-split extensions G=N.Q with N=C2×F5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×F5).C6 = C3×C4⋊F5φ: C6/C3C2 ⊆ Out C2×F5604(C2xF5).C6240,114
(C2×F5).2C6 = C12×F5φ: trivial image604(C2xF5).2C6240,113

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