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

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

		d	ρ	Label	ID
C₄×C₈		32		C4xC8	32,3

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

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₄ = C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈	32	C8:1C4	32,14
C₈⋊₂C₄ = C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈	32	C8:2C4	32,13
C₈⋊₃C₄ = C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈	32	C8:3C4	32,4

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₄ = C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈	16	2	C8.1C4	32,15
C₈.₂C₄ = M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₈	16	2	C8.2C4	32,17

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