Extensions 1→N→G→Q→1 with N=C₂³⋊₃D₄ and Q=C₂

Direct product G=N×Q with N=C₂³⋊₃D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊₃D₄		32		C2xC2^3:3D4	128,2177

Semidirect products G=N:Q with N=C₂³⋊₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊₃D₄⋊₁C₂ = C₂³⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16		C2^3:3D4:1C2	128,327
C₂³⋊₃D₄⋊₂C₂ = C₂⁴⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16		C2^3:3D4:2C2	128,753
C₂³⋊₃D₄⋊₃C₂ = C₂⁴⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16	8+	C2^3:3D4:3C2	128,1758
C₂³⋊₃D₄⋊₄C₂ = C₂².₇₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16		C2^3:3D4:4C2	128,2216
C₂³⋊₃D₄⋊₅C₂ = C₂².₇₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:5C2	128,2217
C₂³⋊₃D₄⋊₆C₂ = C₂².₇₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16		C2^3:3D4:6C2	128,2222
C₂³⋊₃D₄⋊₇C₂ = C₄⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:7C2	128,2228
C₂³⋊₃D₄⋊₈C₂ = C₂².₉₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:8C2	128,2237
C₂³⋊₃D₄⋊₉C₂ = C₄²⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16		C2^3:3D4:9C2	128,2264
C₂³⋊₃D₄⋊₁₀C₂ = C₂².₁₂₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:10C2	128,2265
C₂³⋊₃D₄⋊₁₁C₂ = C₂².₁₂₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:11C2	128,2266
C₂³⋊₃D₄⋊₁₂C₂ = C₂².₁₂₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:12C2	128,2269
C₂³⋊₃D₄⋊₁₃C₂ = C₂².₁₃₁C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:13C2	128,2274
C₂³⋊₃D₄⋊₁₄C₂ = C₂².₁₃₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:14C2	128,2275
C₂³⋊₃D₄⋊₁₅C₂ = C₂².₁₃₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:15C2	128,2277
C₂³⋊₃D₄⋊₁₆C₂ = C₂².₁₄₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:16C2	128,2290
C₂³⋊₃D₄⋊₁₇C₂ = C₂².₁₄₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4:17C2	128,2292
C₂³⋊₃D₄⋊₁₈C₂ = C₂².₃₈C₂⁵	φ: trivial image	32		C2^3:3D4:18C2	128,2181
C₂³⋊₃D₄⋊₁₉C₂ = C₂².₄₈C₂⁵	φ: trivial image	32		C2^3:3D4:19C2	128,2191

Non-split extensions G=N.Q with N=C₂³⋊₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊₃D₄.₁C₂ = C₂³⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.1C2	128,333
C₂³⋊₃D₄.₂C₂ = C₂³.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.2C2	128,339
C₂³⋊₃D₄.₃C₂ = C₂⁴.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.3C2	128,345
C₂³⋊₃D₄.₄C₂ = C₂⁴.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16	8+	C2^3:3D4.4C2	128,645
C₂³⋊₃D₄.₅C₂ = C₂⁴.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.5C2	128,754
C₂³⋊₃D₄.₆C₂ = C₂⁴.₃₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.6C2	128,776
C₂³⋊₃D₄.₇C₂ = C₂⁴.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	16	8+	C2^3:3D4.7C2	128,853
C₂³⋊₃D₄.₈C₂ = C₂².₈₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₃D₄	32		C2^3:3D4.8C2	128,2223

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁