Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₂²

Direct product G=N×Q with N=C₃×Q₈ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁C₂² = S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	24	4	(C3xQ8):1C2^2	96,120
(C₃×Q₈)⋊₂C₂² = Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	24	4+	(C3xQ8):2C2^2	96,121
(C₃×Q₈)⋊₃C₂² = C₂×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48		(C3xQ8):3C2^2	96,148
(C₃×Q₈)⋊₄C₂² = D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	24	4+	(C3xQ8):4C2^2	96,156
(C₃×Q₈)⋊₅C₂² = C₂×S₃×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48		(C3xQ8):5C2^2	96,212
(C₃×Q₈)⋊₆C₂² = C₂×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48		(C3xQ8):6C2^2	96,213
(C₃×Q₈)⋊₇C₂² = S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	24	4	(C3xQ8):7C2^2	96,215
(C₃×Q₈)⋊₈C₂² = D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	24	4+	(C3xQ8):8C2^2	96,216
(C₃×Q₈)⋊₉C₂² = C₆×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48		(C3xQ8):9C2^2	96,180
(C₃×Q₈)⋊₁₀C₂² = C₃×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	24	4	(C3xQ8):10C2^2	96,183
(C₃×Q₈)⋊₁₁C₂² = C₆×C₄○D₄	φ: trivial image	48		(C3xQ8):11C2^2	96,223
(C₃×Q₈)⋊₁₂C₂² = C₃×2₊¹⁺⁴	φ: trivial image	24	4	(C3xQ8):12C2^2	96,224

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁C₂² = D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	48	4-	(C3xQ8).1C2^2	96,122
(C₃×Q₈).₂C₂² = Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	48	4	(C3xQ8).2C2^2	96,123
(C₃×Q₈).₃C₂² = S₃×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	48	4-	(C3xQ8).3C2^2	96,124
(C₃×Q₈).₄C₂² = Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	48	4	(C3xQ8).4C2^2	96,125
(C₃×Q₈).₅C₂² = D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Q₈	48	4+	(C3xQ8).5C2^2	96,126
(C₃×Q₈).₆C₂² = Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).6C2^2	96,149
(C₃×Q₈).₇C₂² = C₂×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	96		(C3xQ8).7C2^2	96,150
(C₃×Q₈).₈C₂² = Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).8C2^2	96,157
(C₃×Q₈).₉C₂² = Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4-	(C3xQ8).9C2^2	96,158
(C₃×Q₈).₁₀C₂² = Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).10C2^2	96,214
(C₃×Q₈).₁₁C₂² = Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4-	(C3xQ8).11C2^2	96,217
(C₃×Q₈).₁₂C₂² = C₆×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	96		(C3xQ8).12C2^2	96,181
(C₃×Q₈).₁₃C₂² = C₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	2	(C3xQ8).13C2^2	96,182
(C₃×Q₈).₁₄C₂² = C₃×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).14C2^2	96,184
(C₃×Q₈).₁₅C₂² = C₃×2_-¹⁺⁴	φ: trivial image	48	4	(C3xQ8).15C2^2	96,225

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