Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Dic15

Direct product G=N×Q with N=C3 and Q=C2×Dic15
dρLabelID
C6×Dic15120C6xDic15360,103

Semidirect products G=N:Q with N=C3 and Q=C2×Dic15
extensionφ:Q→Aut NdρLabelID
C31(C2×Dic15) = S3×Dic15φ: C2×Dic15/Dic15C2 ⊆ Aut C31204-C3:1(C2xDic15)360,78
C32(C2×Dic15) = C2×C3⋊Dic15φ: C2×Dic15/C2×C30C2 ⊆ Aut C3360C3:2(C2xDic15)360,113

Non-split extensions G=N.Q with N=C3 and Q=C2×Dic15
extensionφ:Q→Aut NdρLabelID
C3.(C2×Dic15) = C2×Dic45φ: C2×Dic15/C2×C30C2 ⊆ Aut C3360C3.(C2xDic15)360,28

׿
×
𝔽