Extensions 1→N→G→Q→1 with N=C₈⋊₃D₄ and Q=C₂

Direct product G=N×Q with N=C₈⋊₃D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊₃D₄		64		C2xC8:3D4	128,1880

Semidirect products G=N:Q with N=C₈⋊₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊₃D₄⋊₁C₂ = C₄².C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:1C2	128,387
C₈⋊₃D₄⋊₂C₂ = C₄².₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:2C2	128,388
C₈⋊₃D₄⋊₃C₂ = M₄(2)⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:3C2	128,1883
C₈⋊₃D₄⋊₄C₂ = M₄(2)⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:4C2	128,1885
C₈⋊₃D₄⋊₅C₂ = M₄(2)⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:5C2	128,1886
C₈⋊₃D₄⋊₆C₂ = M₄(2)⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:6C2	128,1887
C₈⋊₃D₄⋊₇C₂ = C₄².₃₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:7C2	128,1911
C₈⋊₃D₄⋊₈C₂ = C₄².₂₅₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:8C2	128,1912
C₈⋊₃D₄⋊₉C₂ = C₄².₂₇₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:9C2	128,1945
C₈⋊₃D₄⋊₁₀C₂ = C₄².₂₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:10C2	128,1946
C₈⋊₃D₄⋊₁₁C₂ = C₄².₂₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:11C2	128,1949
C₈⋊₃D₄⋊₁₂C₂ = C₄².₂₇₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:12C2	128,1951
C₈⋊₃D₄⋊₁₃C₂ = C₄².₄₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:13C2	128,1952
C₈⋊₃D₄⋊₁₄C₂ = C₄².₄₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:14C2	128,1953
C₈⋊₃D₄⋊₁₅C₂ = C₄².₄₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:15C2	128,1956
C₈⋊₃D₄⋊₁₆C₂ = D₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:16C2	128,1996
C₈⋊₃D₄⋊₁₇C₂ = SD₁₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:17C2	128,1997
C₈⋊₃D₄⋊₁₈C₂ = SD₁₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	32		C8:3D4:18C2	128,2000
C₈⋊₃D₄⋊₁₉C₂ = Q₁₆⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:19C2	128,2003
C₈⋊₃D₄⋊₂₀C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	16	8+	C8:3D4:20C2	128,2020
C₈⋊₃D₄⋊₂₁C₂ = C₄².₇₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:21C2	128,2129
C₈⋊₃D₄⋊₂₂C₂ = C₄².₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:22C2	128,2131
C₈⋊₃D₄⋊₂₃C₂ = C₄².₅₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4:23C2	128,2135
C₈⋊₃D₄⋊₂₄C₂ = C₄².₂₄₇D₄	φ: trivial image	64		C8:3D4:24C2	128,1882
C₈⋊₃D₄⋊₂₅C₂ = C₄².₂₅₅D₄	φ: trivial image	64		C8:3D4:25C2	128,1903

Non-split extensions G=N.Q with N=C₈⋊₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊₃D₄.₁C₂ = C₈⋊C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	16	8+	C8:3D4.1C2	128,138
C₈⋊₃D₄.₂C₂ = C₄².₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4.2C2	128,389
C₈⋊₃D₄.₃C₂ = C₄².₅₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊₃D₄	64		C8:3D4.3C2	128,2133

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Extensions 1→N→G→Q→1 with N=C8⋊3D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₈⋊₃D₄ and Q=C₂