Extensions 1→N→G→Q→1 with N=C₃xQ₈ and Q=C₂²

Direct product G=NxQ with N=C₃xQ₈ and Q=C₂²

		d	ρ	Label	ID
Q₈xC₂xC₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₃xQ₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈):₁C₂² = S₃xSD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	24	4	(C3xQ8):1C2^2	96,120
(C₃xQ₈):₂C₂² = Q₈:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	24	4+	(C3xQ8):2C2^2	96,121
(C₃xQ₈):₃C₂² = C₂xQ₈:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48		(C3xQ8):3C2^2	96,148
(C₃xQ₈):₄C₂² = D₄:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	24	4+	(C3xQ8):4C2^2	96,156
(C₃xQ₈):₅C₂² = C₂xS₃xQ₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48		(C3xQ8):5C2^2	96,212
(C₃xQ₈):₆C₂² = C₂xQ₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48		(C3xQ8):6C2^2	96,213
(C₃xQ₈):₇C₂² = S₃xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	24	4	(C3xQ8):7C2^2	96,215
(C₃xQ₈):₈C₂² = D₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	24	4+	(C3xQ8):8C2^2	96,216
(C₃xQ₈):₉C₂² = C₆xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48		(C3xQ8):9C2^2	96,180
(C₃xQ₈):₁₀C₂² = C₃xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	24	4	(C3xQ8):10C2^2	96,183
(C₃xQ₈):₁₁C₂² = C₆xC₄oD₄	φ: trivial image	48		(C3xQ8):11C2^2	96,223
(C₃xQ₈):₁₂C₂² = C₃x2₊¹⁺⁴	φ: trivial image	24	4	(C3xQ8):12C2^2	96,224

Non-split extensions G=N.Q with N=C₃xQ₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈).₁C₂² = D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	48	4-	(C3xQ8).1C2^2	96,122
(C₃xQ₈).₂C₂² = Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	48	4	(C3xQ8).2C2^2	96,123
(C₃xQ₈).₃C₂² = S₃xQ₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	48	4-	(C3xQ8).3C2^2	96,124
(C₃xQ₈).₄C₂² = Q₁₆:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	48	4	(C3xQ8).4C2^2	96,125
(C₃xQ₈).₅C₂² = D₂₄:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃xQ₈	48	4+	(C3xQ8).5C2^2	96,126
(C₃xQ₈).₆C₂² = Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4	(C3xQ8).6C2^2	96,149
(C₃xQ₈).₇C₂² = C₂xC₃:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	96		(C3xQ8).7C2^2	96,150
(C₃xQ₈).₈C₂² = Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4	(C3xQ8).8C2^2	96,157
(C₃xQ₈).₉C₂² = Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4-	(C3xQ8).9C2^2	96,158
(C₃xQ₈).₁₀C₂² = Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4	(C3xQ8).10C2^2	96,214
(C₃xQ₈).₁₁C₂² = Q₈oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4-	(C3xQ8).11C2^2	96,217
(C₃xQ₈).₁₂C₂² = C₆xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	96		(C3xQ8).12C2^2	96,181
(C₃xQ₈).₁₃C₂² = C₃xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	2	(C3xQ8).13C2^2	96,182
(C₃xQ₈).₁₄C₂² = C₃xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₃xQ₈	48	4	(C3xQ8).14C2^2	96,184
(C₃xQ₈).₁₅C₂² = C₃x2_-¹⁺⁴	φ: trivial image	48	4	(C3xQ8).15C2^2	96,225

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