Extensions 1→N→G→Q→1 with N=C₉⋊D₄ and Q=C₂²

Direct product G=N×Q with N=C₉⋊D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₉⋊D₄		144		C2^2xC9:D4	288,366

Semidirect products G=N:Q with N=C₉⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊D₄⋊₁C₂² = C₂×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	72		C9:D4:1C2^2	288,356
C₉⋊D₄⋊₂C₂² = C₂×D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	144		C9:D4:2C2^2	288,357
C₉⋊D₄⋊₃C₂² = D₄⋊₆D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	72	4	C9:D4:3C2^2	288,358
C₉⋊D₄⋊₄C₂² = C₄○D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	72	4	C9:D4:4C2^2	288,362
C₉⋊D₄⋊₅C₂² = D₄⋊₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	72	4+	C9:D4:5C2^2	288,363
C₉⋊D₄⋊₆C₂² = C₂×D₃₆⋊₅C₂	φ: trivial image	144		C9:D4:6C2^2	288,355

Non-split extensions G=N.Q with N=C₉⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊D₄.C₂² = D₄.₁₀D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊D₄	144	4-	C9:D4.C2^2	288,364
C₉⋊D₄.₂C₂² = Q₈.₁₅D₁₈	φ: trivial image	144	4	C9:D4.2C2^2	288,361

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