Extensions 1→N→G→Q→1 with N=C6 and Q=C3×Dic5

Direct product G=N×Q with N=C6 and Q=C3×Dic5
dρLabelID
C3×C6×Dic5360C3xC6xDic5360,93

Semidirect products G=N:Q with N=C6 and Q=C3×Dic5
extensionφ:Q→Aut NdρLabelID
C6⋊(C3×Dic5) = C6×Dic15φ: C3×Dic5/C30 → C2 ⊆ Aut C6120C6:(C3xDic5)360,103

Non-split extensions G=N.Q with N=C6 and Q=C3×Dic5
extensionφ:Q→Aut NdρLabelID
C6.(C3×Dic5) = C3×C15⋊3C8φ: C3×Dic5/C30 → C2 ⊆ Aut C61202C6.(C3xDic5)360,35
C6.2(C3×Dic5) = C9×C5⋊2C8central extension (φ=1)3602C6.2(C3xDic5)360,2
C6.3(C3×Dic5) = C18×Dic5central extension (φ=1)360C6.3(C3xDic5)360,18
C6.4(C3×Dic5) = C32×C5⋊2C8central extension (φ=1)360C6.4(C3xDic5)360,33

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