Extensions 1→N→G→Q→1 with N=C₄×C₄₄ and Q=C₂

Direct product G=N×Q with N=C₄×C₄₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₄₄		352		C2xC4xC44	352,149

Semidirect products G=N:Q with N=C₄×C₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₄₄)⋊₁C₂ = C₄²⋊₂D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):1C2	352,71
(C₄×C₄₄)⋊₂C₂ = C₁₁×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):2C2	352,152
(C₄×C₄₄)⋊₃C₂ = C₁₁×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):3C2	352,161
(C₄×C₄₄)⋊₄C₂ = C₄⋊D₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):4C2	352,69
(C₄×C₄₄)⋊₅C₂ = C₄.D₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):5C2	352,70
(C₄×C₄₄)⋊₆C₂ = D₄₄⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	88	2	(C4xC44):6C2	352,11
(C₄×C₄₄)⋊₇C₂ = C₄×D₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):7C2	352,68
(C₄×C₄₄)⋊₈C₂ = C₄²×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):8C2	352,66
(C₄×C₄₄)⋊₉C₂ = C₄²⋊D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):9C2	352,67
(C₄×C₄₄)⋊₁₀C₂ = C₁₁×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	88	2	(C4xC44):10C2	352,53
(C₄×C₄₄)⋊₁₁C₂ = D₄×C₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):11C2	352,153
(C₄×C₄₄)⋊₁₂C₂ = C₁₁×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):12C2	352,159
(C₄×C₄₄)⋊₁₃C₂ = C₁₁×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	176		(C4xC44):13C2	352,162

Non-split extensions G=N.Q with N=C₄×C₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₄₄).₁C₂ = C₁₁×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).1C2	352,46
(C₄×C₄₄).₂C₂ = C₄₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).2C2	352,64
(C₄×C₄₄).₃C₂ = C₄₄.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).3C2	352,65
(C₄×C₄₄).₄C₂ = C₄₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).4C2	352,10
(C₄×C₄₄).₅C₂ = C₄×Dic₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).5C2	352,63
(C₄×C₄₄).₆C₂ = C₄×C₁₁⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).6C2	352,8
(C₄×C₄₄).₇C₂ = C₄².D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).7C2	352,9
(C₄×C₄₄).₈C₂ = C₁₁×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).8C2	352,54
(C₄×C₄₄).₉C₂ = Q₈×C₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).9C2	352,154
(C₄×C₄₄).₁₀C₂ = C₁₁×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).10C2	352,160
(C₄×C₄₄).₁₁C₂ = C₁₁×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₄₄	352		(C4xC44).11C2	352,163

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