Extensions 1→N→G→Q→1 with N=C₅⋊C₈ and Q=C₂×C₄

Direct product G=N×Q with N=C₅⋊C₈ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₄×C₅⋊C₈		320		C2xC4xC5:C8	320,1084

Semidirect products G=N:Q with N=C₅⋊C₈ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈⋊₁(C₂×C₄) = C₄×C₄.F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅⋊C₈	160		C5:C8:1(C2xC4)	320,1015
C₅⋊C₈⋊₂(C₂×C₄) = M₄(2)×F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅⋊C₈	40	8	C5:C8:2(C2xC4)	320,1064
C₅⋊C₈⋊₃(C₂×C₄) = C₄×C₂².F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅⋊C₈	160		C5:C8:3(C2xC4)	320,1088
C₅⋊C₈⋊₄(C₂×C₄) = C₄².₅F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅⋊C₈	160		C5:C8:4(C2xC4)	320,1014
C₅⋊C₈⋊₅(C₂×C₄) = C₂×C₈⋊F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅⋊C₈	80		C5:C8:5(C2xC4)	320,1055
C₅⋊C₈⋊₆(C₂×C₄) = C₂×C₁₀.C₄²	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅⋊C₈	320		C5:C8:6(C2xC4)	320,1087
C₅⋊C₈⋊₇(C₂×C₄) = C₄×D₅⋊C₈	φ: trivial image	160		C5:C8:7(C2xC4)	320,1013
C₅⋊C₈⋊₈(C₂×C₄) = C₂×C₈×F₅	φ: trivial image	80		C5:C8:8(C2xC4)	320,1054

Non-split extensions G=N.Q with N=C₅⋊C₈ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈.₁(C₂×C₄) = C₂₀.₁₂C₄²	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₅⋊C₈	80	4	C5:C8.1(C2xC4)	320,1056
C₅⋊C₈.₂(C₂×C₄) = M₄(2)⋊₅F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₅⋊C₈	80	8	C5:C8.2(C2xC4)	320,1066
C₅⋊C₈.₃(C₂×C₄) = Dic₅.C₄²	φ: trivial image	160		C5:C8.3(C2xC4)	320,1029
C₅⋊C₈.₄(C₂×C₄) = D₁₀.C₄²	φ: trivial image	160		C5:C8.4(C2xC4)	320,1039

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