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

Direct product G=N×Q with N=C5 and Q=C3⋊D4
dρLabelID
C5×C3⋊D4602C5xC3:D4120,25

Semidirect products G=N:Q with N=C5 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C51(C3⋊D4) = C3⋊D20φ: C3⋊D4/Dic3C2 ⊆ Aut C5604+C5:1(C3:D4)120,12
C52(C3⋊D4) = C15⋊D4φ: C3⋊D4/D6C2 ⊆ Aut C5604-C5:2(C3:D4)120,11
C53(C3⋊D4) = C157D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C5602C5:3(C3:D4)120,30


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