Extensions 1→N→G→Q→1 with N=Q₈⋊C₉ and Q=C₂²

Direct product G=N×Q with N=Q₈⋊C₉ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊C₉		288		C2^2xQ8:C9	288,345

Semidirect products G=N:Q with N=Q₈⋊C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉⋊₁C₂² = C₂×Q₈⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	144		Q8:C9:1C2^2	288,336
Q₈⋊C₉⋊₂C₂² = C₁₂.₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	72	4+	Q8:C9:2C2^2	288,340
Q₈⋊C₉⋊₃C₂² = C₂×Q₈.C₁₈	φ: trivial image	144		Q8:C9:3C2^2	288,347
Q₈⋊C₉⋊₄C₂² = 2₊¹⁺⁴⋊C₉	φ: trivial image	72	4	Q8:C9:4C2^2	288,348

Non-split extensions G=N.Q with N=Q₈⋊C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉.₁C₂² = C₂×Q₈.D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	288		Q8:C9.1C2^2	288,335
Q₈⋊C₉.₂C₂² = Q₈.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	144	4	Q8:C9.2C2^2	288,337
Q₈⋊C₉.₃C₂² = C₁₂.₃S₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	144	4-	Q8:C9.3C2^2	288,338
Q₈⋊C₉.₄C₂² = C₁₂.₁₁S₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊C₉	144	4	Q8:C9.4C2^2	288,339
Q₈⋊C₉.₅C₂² = 2_-¹⁺⁴⋊C₉	φ: trivial image	144	4	Q8:C9.5C2^2	288,349

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