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		C2xC4xD4	64,196

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁C₂ = C₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):1C2	64,118
(C₄×D₄)⋊₂C₂ = D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):2C2	64,123
(C₄×D₄)⋊₃C₂ = C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):3C2	64,140
(C₄×D₄)⋊₄C₂ = D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):4C2	64,144
(C₄×D₄)⋊₅C₂ = C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):5C2	64,199
(C₄×D₄)⋊₆C₂ = C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):6C2	64,201
(C₄×D₄)⋊₇C₂ = C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):7C2	64,206
(C₄×D₄)⋊₈C₂ = C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):8C2	64,210
(C₄×D₄)⋊₉C₂ = C₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):9C2	64,213
(C₄×D₄)⋊₁₀C₂ = C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):10C2	64,219
(C₄×D₄)⋊₁₁C₂ = C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):11C2	64,220
(C₄×D₄)⋊₁₂C₂ = C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):12C2	64,221
(C₄×D₄)⋊₁₃C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):13C2	64,223
(C₄×D₄)⋊₁₄C₂ = D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):14C2	64,226
(C₄×D₄)⋊₁₅C₂ = D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):15C2	64,227
(C₄×D₄)⋊₁₆C₂ = D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):16C2	64,228
(C₄×D₄)⋊₁₇C₂ = Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):17C2	64,229
(C₄×D₄)⋊₁₈C₂ = Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):18C2	64,231
(C₄×D₄)⋊₁₉C₂ = C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	16	(C4xD4):19C2	64,232
(C₄×D₄)⋊₂₀C₂ = C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):20C2	64,234
(C₄×D₄)⋊₂₁C₂ = C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):21C2	64,236
(C₄×D₄)⋊₂₂C₂ = C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4):22C2	64,240
(C₄×D₄)⋊₂₃C₂ = C₄×C₄○D₄	φ: trivial image	32	(C4xD4):23C2	64,198

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁C₂ = D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).1C2	64,6
(C₄×D₄).₂C₂ = C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).2C2	64,116
(C₄×D₄).₃C₂ = C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).3C2	64,117
(C₄×D₄).₄C₂ = C₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).4C2	64,119
(C₄×D₄).₅C₂ = SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).5C2	64,121
(C₄×D₄).₆C₂ = D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).6C2	64,142
(C₄×D₄).₇C₂ = D₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).7C2	64,155
(C₄×D₄).₈C₂ = D₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).8C2	64,157
(C₄×D₄).₉C₂ = D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).9C2	64,159
(C₄×D₄).₁₀C₂ = D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).10C2	64,230
(C₄×D₄).₁₁C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).11C2	64,233
(C₄×D₄).₁₂C₂ = D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).12C2	64,235
(C₄×D₄).₁₃C₂ = C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₄	32	(C4xD4).13C2	64,237
(C₄×D₄).₁₄C₂ = C₈×D₄	φ: trivial image	32	(C4xD4).14C2	64,115

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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