Extensions 1→N→G→Q→1 with N=C₉⋊C₁₂ and Q=C₂²

Direct product G=N×Q with N=C₉⋊C₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₉⋊C₁₂		144		C2^2xC9:C12	432,378

Semidirect products G=N:Q with N=C₉⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₁₂⋊₁C₂² = D₄×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	36	12+	C9:C12:1C2^2	432,362
C₉⋊C₁₂⋊₂C₂² = C₂×Dic₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	72		C9:C12:2C2^2	432,379
C₉⋊C₁₂⋊₃C₂² = C₂×C₄×C₉⋊C₆	φ: trivial image	72		C9:C12:3C2^2	432,353

Non-split extensions G=N.Q with N=C₉⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₁₂.₁C₂² = C₂×C₃₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	144		C9:C12.1C2^2	432,352
C₉⋊C₁₂.₂C₂² = D₃₆⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	72	6	C9:C12.2C2^2	432,355
C₉⋊C₁₂.₃C₂² = Dic₁₈⋊₂C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	72	12-	C9:C12.3C2^2	432,363
C₉⋊C₁₂.₄C₂² = Q₈×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₁₂	72	12-	C9:C12.4C2^2	432,370
C₉⋊C₁₂.₅C₂² = D₃₆⋊₃C₆	φ: trivial image	72	12+	C9:C12.5C2^2	432,371

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