Extensions 1→N→G→Q→1 with N=D₄₄⋊₅C₂ and Q=C₂

Direct product G=N×Q with N=D₄₄⋊₅C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₄₄⋊₅C₂		176		C2xD44:5C2	352,176

Semidirect products G=N:Q with N=D₄₄⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₄⋊₅C₂⋊₁C₂ = D₈₈⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	2	D44:5C2:1C2	352,99
D₄₄⋊₅C₂⋊₂C₂ = C₈⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4+	D44:5C2:2C2	352,103
D₄₄⋊₅C₂⋊₃C₂ = D₄₄⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4	D44:5C2:3C2	352,127
D₄₄⋊₅C₂⋊₄C₂ = D₄.₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4	D44:5C2:4C2	352,145
D₄₄⋊₅C₂⋊₅C₂ = D₄⋊₆D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4	D44:5C2:5C2	352,179
D₄₄⋊₅C₂⋊₆C₂ = Q₈.₁₀D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4	D44:5C2:6C2	352,182
D₄₄⋊₅C₂⋊₇C₂ = C₄○D₄×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4	D44:5C2:7C2	352,183
D₄₄⋊₅C₂⋊₈C₂ = D₄⋊₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4+	D44:5C2:8C2	352,184
D₄₄⋊₅C₂⋊₉C₂ = D₄.₁₀D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4-	D44:5C2:9C2	352,185

Non-split extensions G=N.Q with N=D₄₄⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₄⋊₅C₂.₁C₂ = D₄₄⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	2	D44:5C2.1C2	352,11
D₄₄⋊₅C₂.₂C₂ = D₄₄⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	88	4	D44:5C2.2C2	352,31
D₄₄⋊₅C₂.₃C₂ = D₄₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4	D44:5C2.3C2	352,102
D₄₄⋊₅C₂.₄C₂ = C₈.D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4-	D44:5C2.4C2	352,104
D₄₄⋊₅C₂.₅C₂ = C₄₄.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄₄⋊₅C₂	176	4	D44:5C2.5C2	352,137
D₄₄⋊₅C₂.₆C₂ = D₄₄.₂C₄	φ: trivial image	176	2	D44:5C2.6C2	352,96

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