Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃²⋊₄C₈

Direct product G=N×Q with N=C₅ and Q=C₃²⋊₄C₈

		d	ρ	Label	ID
C₅×C₃²⋊₄C₈		360		C5xC3^2:4C8	360,36

Semidirect products G=N:Q with N=C₅ and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃²⋊₄C₈) = C₃₀.Dic₃	φ: C₃²⋊₄C₈/C₃×C₆ → C₄ ⊆ Aut C₅	360		C5:(C3^2:4C8)	360,54
C₅⋊₂(C₃²⋊₄C₈) = C₆₀.S₃	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₅	360		C5:2(C3^2:4C8)	360,37

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