Extensions 1→N→G→Q→1 with N=C₈⋊C₂² and Q=C₄

Direct product G=N×Q with N=C₈⋊C₂² and Q=C₄

		d	ρ	Label	ID
C₄×C₈⋊C₂²		32		C4xC8:C2^2	128,1676

Semidirect products G=N:Q with N=C₈⋊C₂² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂²⋊₁C₄ = M₄(2).₄₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	32	4	C8:C2^2:1C4	128,613
C₈⋊C₂²⋊₂C₄ = C₈⋊C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	32		C8:C2^2:2C4	128,615
C₈⋊C₂²⋊₃C₄ = C₄².₄₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	16	4	C8:C2^2:3C4	128,638
C₈⋊C₂²⋊₄C₄ = M₄(2).₄₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	32		C8:C2^2:4C4	128,639
C₈⋊C₂²⋊₅C₄ = C₄².₂₇₅C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	32		C8:C2^2:5C4	128,1678
C₈⋊C₂²⋊₆C₄ = M₄(2).₅₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊C₂²	16	4	C8:C2^2:6C4	128,1688
C₈⋊C₂²⋊₇C₄ = C₄².₂₈₃C₂³	φ: trivial image	32	4	C8:C2^2:7C4	128,1687

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁