Extensions 1→N→G→Q→1 with N=C₈.C₄ and Q=C₂

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

		d	ρ	Label	ID
C₂×C₈.C₄		32		C2xC8.C4	64,110

Semidirect products G=N:Q with N=C₈.C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁C₂ = D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	32	2	C8.C4:1C2	64,40
C₈.C₄⋊₂C₂ = M₅(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4+	C8.C4:2C2	64,42
C₈.C₄⋊₃C₂ = M₄(2).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4	C8.C4:3C2	64,111
C₈.C₄⋊₄C₂ = C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4	C8.C4:4C2	64,125
C₈.C₄⋊₅C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4	C8.C4:5C2	64,152
C₈.C₄⋊₆C₂ = D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4+	C8.C4:6C2	64,153
C₈.C₄⋊₇C₂ = D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	32	4-	C8.C4:7C2	64,154
C₈.C₄⋊₈C₂ = C₈○D₈	φ: trivial image	16	2	C8.C4:8C2	64,124

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁C₂ = C₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	32	4-	C8.C4.1C2	64,43
C₈.C₄.₂C₂ = C₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	16	4	C8.C4.2C2	64,46
C₈.C₄.₃C₂ = C₈.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.C₄	32	2	C8.C4.3C2	64,49

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