Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C3⋊D4

Direct product G=N×Q with N=C5 and Q=C2×C3⋊D4
dρLabelID
C10×C3⋊D4120C10xC3:D4240,174

Semidirect products G=N:Q with N=C5 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C3⋊D4) = C2×C3⋊D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C5120C5:1(C2xC3:D4)240,146
C5⋊2(C2×C3⋊D4) = D5×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C5604C5:2(C2xC3:D4)240,149
C5⋊3(C2×C3⋊D4) = C2×C15⋊D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C5120C5:3(C2xC3:D4)240,145
C5⋊4(C2×C3⋊D4) = C2×C15⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C5120C5:4(C2xC3:D4)240,184


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