Extensions 1→N→G→Q→1 with N=C₇⋊C₁₂ and Q=C₂²

Direct product G=N×Q with N=C₇⋊C₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₇⋊C₁₂		112		C2^2xC7:C12	336,129

Semidirect products G=N:Q with N=C₇⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₂⋊₁C₂² = D₄×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	28	12+	C7:C12:1C2^2	336,125
C₇⋊C₁₂⋊₂C₂² = C₂×Dic₇⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	56		C7:C12:2C2^2	336,130
C₇⋊C₁₂⋊₃C₂² = C₂×C₄×F₇	φ: trivial image	56		C7:C12:3C2^2	336,122

Non-split extensions G=N.Q with N=C₇⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₂.₁C₂² = C₂×C₄.F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	112		C7:C12.1C2^2	336,121
C₇⋊C₁₂.₂C₂² = D₂₈⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	56	6	C7:C12.2C2^2	336,124
C₇⋊C₁₂.₃C₂² = D₄⋊₂F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	56	12-	C7:C12.3C2^2	336,126
C₇⋊C₁₂.₄C₂² = Q₈×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₂	56	12-	C7:C12.4C2^2	336,127
C₇⋊C₁₂.₅C₂² = Q₈⋊₃F₇	φ: trivial image	56	12+	C7:C12.5C2^2	336,128

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