Extensions 1→N→G→Q→1 with N=C5 and Q=C2×Dic3

Direct product G=N×Q with N=C5 and Q=C2×Dic3
dρLabelID
C10×Dic3120C10xDic3120,24

Semidirect products G=N:Q with N=C5 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×Dic3) = C2×C3⋊F5φ: C2×Dic3/C6 → C4 ⊆ Aut C5304C5:(C2xDic3)120,41
C5⋊2(C2×Dic3) = D5×Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Aut C5604-C5:2(C2xDic3)120,8
C5⋊3(C2×Dic3) = C2×Dic15φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C5120C5:3(C2xDic3)120,29


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