Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₂³⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₂³⋊C₄

		d	ρ	Label	ID
C₁₀×C₂³⋊C₄		80		C10xC2^3:C4	320,910

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₂³⋊C₄) = C₂×D₁₀.D₄	φ: C₂×C₂³⋊C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:1(C2xC2^3:C4)	320,1082
C₅⋊₂(C₂×C₂³⋊C₄) = (C₂×D₄)⋊₇F₅	φ: C₂×C₂³⋊C₄/C₂×D₄ → C₄ ⊆ Aut C₅	40	8+	C5:2(C2xC2^3:C4)	320,1108
C₅⋊₃(C₂×C₂³⋊C₄) = C₂×C₂³⋊F₅	φ: C₂×C₂³⋊C₄/C₂⁴ → C₄ ⊆ Aut C₅	80		C5:3(C2xC2^3:C4)	320,1134
C₅⋊₄(C₂×C₂³⋊C₄) = D₅×C₂³⋊C₄	φ: C₂×C₂³⋊C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₅	40	8+	C5:4(C2xC2^3:C4)	320,370
C₅⋊₅(C₂×C₂³⋊C₄) = C₂×C₂³.₁D₁₀	φ: C₂×C₂³⋊C₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:5(C2xC2^3:C4)	320,581
C₅⋊₆(C₂×C₂³⋊C₄) = C₂×C₂³⋊Dic₅	φ: C₂×C₂³⋊C₄/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:6(C2xC2^3:C4)	320,846

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