Extensions 1→N→G→Q→1 with N=C3 and Q=D5×C2×C6

Direct product G=N×Q with N=C3 and Q=D5×C2×C6
dρLabelID
D5×C62180D5xC6^2360,157

Semidirect products G=N:Q with N=C3 and Q=D5×C2×C6
extensionφ:Q→Aut NdρLabelID
C31(D5×C2×C6) = S3×C6×D5φ: D5×C2×C6/C6×D5C2 ⊆ Aut C3604C3:1(D5xC2xC6)360,151
C32(D5×C2×C6) = C2×C6×D15φ: D5×C2×C6/C2×C30C2 ⊆ Aut C3120C3:2(D5xC2xC6)360,159

Non-split extensions G=N.Q with N=C3 and Q=D5×C2×C6
extensionφ:Q→Aut NdρLabelID
C3.(D5×C2×C6) = D5×C2×C18central extension (φ=1)180C3.(D5xC2xC6)360,47

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