Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C3⋊Dic3

Direct product G=N×Q with N=C5 and Q=C2×C3⋊Dic3
dρLabelID
C10×C3⋊Dic3360C10xC3:Dic3360,108

Semidirect products G=N:Q with N=C5 and Q=C2×C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×C3⋊Dic3) = C2×C323F5φ: C2×C3⋊Dic3/C3×C6C4 ⊆ Aut C590C5:(C2xC3:Dic3)360,147
C52(C2×C3⋊Dic3) = D5×C3⋊Dic3φ: C2×C3⋊Dic3/C3⋊Dic3C2 ⊆ Aut C5180C5:2(C2xC3:Dic3)360,65
C53(C2×C3⋊Dic3) = C2×C3⋊Dic15φ: C2×C3⋊Dic3/C62C2 ⊆ Aut C5360C5:3(C2xC3:Dic3)360,113


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