Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=C₂²

Direct product G=N×Q with N=C₂×A₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×A₄		24		C2^3xA4	96,228

Semidirect products G=N:Q with N=C₂×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊C₂² = C₂²×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	12		(C2xA4):C2^2	96,226

Non-split extensions G=N.Q with N=C₂×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).₁C₂² = A₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	24	6-	(C2xA4).1C2^2	96,185
(C₂×A₄).₂C₂² = C₄×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	12	3	(C2xA4).2C2^2	96,186
(C₂×A₄).₃C₂² = C₄⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	12	6+	(C2xA4).3C2^2	96,187
(C₂×A₄).₄C₂² = C₂×A₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	24		(C2xA4).4C2^2	96,194
(C₂×A₄).₅C₂² = A₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₄	12	6+	(C2xA4).5C2^2	96,195
(C₂×A₄).₆C₂² = C₂×C₄×A₄	φ: trivial image	24		(C2xA4).6C2^2	96,196
(C₂×A₄).₇C₂² = D₄×A₄	φ: trivial image	12	6+	(C2xA4).7C2^2	96,197
(C₂×A₄).₈C₂² = Q₈×A₄	φ: trivial image	24	6-	(C2xA4).8C2^2	96,199

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