Extensions 1→N→G→Q→1 with N=C3 and Q=D5xC2xC6

Direct product G=NxQ with N=C3 and Q=D5xC2xC6
dρLabelID
D5xC62180D5xC6^2360,157

Semidirect products G=N:Q with N=C3 and Q=D5xC2xC6
extensionφ:Q→Aut NdρLabelID
C3:1(D5xC2xC6) = S3xC6xD5φ: D5xC2xC6/C6xD5C2 ⊆ Aut C3604C3:1(D5xC2xC6)360,151
C3:2(D5xC2xC6) = C2xC6xD15φ: D5xC2xC6/C2xC30C2 ⊆ Aut C3120C3:2(D5xC2xC6)360,159

Non-split extensions G=N.Q with N=C3 and Q=D5xC2xC6
extensionφ:Q→Aut NdρLabelID
C3.(D5xC2xC6) = D5xC2xC18central extension (φ=1)180C3.(D5xC2xC6)360,47

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