Extensions 1→N→G→Q→1 with N=C23 and Q=C3×Dic5

Direct product G=N×Q with N=C23 and Q=C3×Dic5

Semidirect products G=N:Q with N=C23 and Q=C3×Dic5
extensionφ:Q→Aut NdρLabelID
C23⋊(C3×Dic5) = C3×C23⋊Dic5φ: C3×Dic5/C15C4 ⊆ Aut C231204C2^3:(C3xDic5)480,112
C232(C3×Dic5) = C2×A4×Dic5φ: C3×Dic5/Dic5C3 ⊆ Aut C23120C2^3:2(C3xDic5)480,1044
C233(C3×Dic5) = C6×C23.D5φ: C3×Dic5/C30C2 ⊆ Aut C23240C2^3:3(C3xDic5)480,745

Non-split extensions G=N.Q with N=C23 and Q=C3×Dic5
extensionφ:Q→Aut NdρLabelID
C23.(C3×Dic5) = C3×C20.D4φ: C3×Dic5/C15C4 ⊆ Aut C231204C2^3.(C3xDic5)480,111
C23.2(C3×Dic5) = A4×C52C8φ: C3×Dic5/Dic5C3 ⊆ Aut C231206C2^3.2(C3xDic5)480,265
C23.3(C3×Dic5) = C3×C20.55D4φ: C3×Dic5/C30C2 ⊆ Aut C23240C2^3.3(C3xDic5)480,108
C23.4(C3×Dic5) = C6×C4.Dic5φ: C3×Dic5/C30C2 ⊆ Aut C23240C2^3.4(C3xDic5)480,714
C23.5(C3×Dic5) = C2×C6×C52C8central extension (φ=1)480C2^3.5(C3xDic5)480,713