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

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

		d	ρ	Label	ID
C₄×C₈.C₄		64		C4xC8.C4	128,509

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁C₄ = C₈.₉C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4:1C4	128,114
C₈.C₄⋊₂C₄ = C₈.₁₁C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32		C8.C4:2C4	128,115
C₈.C₄⋊₃C₄ = C₈.₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4:3C4	128,119
C₈.C₄⋊₄C₄ = C₈.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32	4	C8.C4:4C4	128,121
C₈.C₄⋊₅C₄ = C₈.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32		C8.C4:5C4	128,505
C₈.C₄⋊₆C₄ = C₈.₆C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4:6C4	128,510
C₈.C₄⋊₇C₄ = M₄(2).₅Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4:7C4	128,683
C₈.C₄⋊₈C₄ = M₄(2).₆Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4:8C4	128,684
C₈.C₄⋊₉C₄ = M₄(2).₂₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32	4	C8.C4:9C4	128,685
C₈.C₄⋊₁₀C₄ = C₈.₁₄C₄²	φ: trivial image	32		C8.C4:10C4	128,504

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁C₄ = C₈≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	16	2	C8.C4.1C4	128,67
C₈.C₄.₂C₄ = C₈.₃₂D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	16	4	C8.C4.2C4	128,68
C₈.C₄.₃C₄ = C₈.₈C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	64		C8.C4.3C4	128,113
C₈.C₄.₄C₄ = C₈.₁₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32	4	C8.C4.4C4	128,117
C₈.C₄.₅C₄ = M₅(2).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32	4	C8.C4.5C4	128,120
C₈.C₄.₆C₄ = D₈.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₈.C₄	32	4	C8.C4.6C4	128,903
C₈.C₄.₇C₄ = C₁₆○D₈	φ: trivial image	32	2	C8.C4.7C4	128,902

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