Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₄⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊D₄		32		C2xC4:D4	64,203

Semidirect products G=N:Q with N=C₄⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄⋊₁C₂ = C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:1C2	64,128
C₄⋊D₄⋊₂C₂ = D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:2C2	64,130
C₄⋊D₄⋊₃C₂ = C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:3C2	64,147
C₄⋊D₄⋊₄C₂ = C₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:4C2	64,150
C₄⋊D₄⋊₅C₂ = C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:5C2	64,215
C₄⋊D₄⋊₆C₂ = C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:6C2	64,216
C₄⋊D₄⋊₇C₂ = C₂².₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:7C2	64,218
C₄⋊D₄⋊₈C₂ = C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:8C2	64,219
C₄⋊D₄⋊₉C₂ = C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:9C2	64,221
C₄⋊D₄⋊₁₀C₂ = D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:10C2	64,226
C₄⋊D₄⋊₁₁C₂ = D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:11C2	64,227
C₄⋊D₄⋊₁₂C₂ = D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:12C2	64,228
C₄⋊D₄⋊₁₃C₂ = Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:13C2	64,229
C₄⋊D₄⋊₁₄C₂ = Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:14C2	64,231
C₄⋊D₄⋊₁₅C₂ = C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:15C2	64,234
C₄⋊D₄⋊₁₆C₂ = C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:16C2	64,236
C₄⋊D₄⋊₁₇C₂ = C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4:17C2	64,241
C₄⋊D₄⋊₁₈C₂ = C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4:18C2	64,243
C₄⋊D₄⋊₁₉C₂ = C₂².₁₉C₂⁴	φ: trivial image	16	C4:D4:19C2	64,206
C₄⋊D₄⋊₂₀C₂ = C₂².₂₆C₂⁴	φ: trivial image	32	C4:D4:20C2	64,213

Non-split extensions G=N.Q with N=C₄⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄.₁C₂ = C₂².SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	16	C4:D4.1C2	64,8
C₄⋊D₄.₂C₂ = Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.2C2	64,129
C₄⋊D₄.₃C₂ = C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.3C2	64,146
C₄⋊D₄.₄C₂ = C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.4C2	64,149
C₄⋊D₄.₅C₂ = C₂².D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.5C2	64,161
C₄⋊D₄.₆C₂ = C₂³.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.6C2	64,162
C₄⋊D₄.₇C₂ = C₂³.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.7C2	64,163
C₄⋊D₄.₈C₂ = C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.8C2	64,220
C₄⋊D₄.₉C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₄	32	C4:D4.9C2	64,223
C₄⋊D₄.₁₀C₂ = C₂³.₃₆C₂³	φ: trivial image	32	C4:D4.10C2	64,210

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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=C₂