Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄×D₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₄×D₄

		d	ρ	Label	ID
D₄×C₂×C₂₀		160		D4xC2xC20	320,1517

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄×D₄) = C₂×D₄×F₅	φ: C₂×C₄×D₄/C₂×D₄ → C₄ ⊆ Aut C₅	40		C5:(C2xC4xD4)	320,1595
C₅⋊₂(C₂×C₄×D₄) = C₂×C₄×D₂₀	φ: C₂×C₄×D₄/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:2(C2xC4xD4)	320,1145
C₅⋊₃(C₂×C₄×D₄) = C₂×Dic₅⋊₄D₄	φ: C₂×C₄×D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2xC4xD4)	320,1157
C₅⋊₄(C₂×C₄×D₄) = C₂×D₂₀⋊₈C₄	φ: C₂×C₄×D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2xC4xD4)	320,1175
C₅⋊₅(C₂×C₄×D₄) = C₄×D₄×D₅	φ: C₂×C₄×D₄/C₄×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2xC4xD4)	320,1216
C₅⋊₆(C₂×C₄×D₄) = C₂×C₄×C₅⋊D₄	φ: C₂×C₄×D₄/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:6(C2xC4xD4)	320,1460
C₅⋊₇(C₂×C₄×D₄) = C₂×D₄×Dic₅	φ: C₂×C₄×D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	160		C5:7(C2xC4xD4)	320,1467

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