Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₃⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃⋊C₈		96		C2^2xC3:C8	96,127

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁C₂² = D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	24	4	C3:C8:1C2^2	96,118
C₃⋊C₈⋊₂C₂² = Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	24	4+	C3:C8:2C2^2	96,121
C₃⋊C₈⋊₃C₂² = D₁₂⋊₆C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	24	4	C3:C8:3C2^2	96,139
C₃⋊C₈⋊₄C₂² = D₄⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	24	4+	C3:C8:4C2^2	96,156
C₃⋊C₈⋊₅C₂² = S₃×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	24	4+	C3:C8:5C2^2	96,117
C₃⋊C₈⋊₆C₂² = S₃×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	24	4	C3:C8:6C2^2	96,120
C₃⋊C₈⋊₇C₂² = C₂×D₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48		C3:C8:7C2^2	96,138
C₃⋊C₈⋊₈C₂² = C₂×D₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48		C3:C8:8C2^2	96,140
C₃⋊C₈⋊₉C₂² = C₂×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48		C3:C8:9C2^2	96,148
C₃⋊C₈⋊₁₀C₂² = C₂×C₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48		C3:C8:10C2^2	96,107
C₃⋊C₈⋊₁₁C₂² = S₃×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	24	4	C3:C8:11C2^2	96,113
C₃⋊C₈⋊₁₂C₂² = C₂×C₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48		C3:C8:12C2^2	96,128
C₃⋊C₈⋊₁₃C₂² = S₃×C₂×C₈	φ: trivial image	48		C3:C8:13C2^2	96,106

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.₁C₂² = D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	48	4-	C3:C8.1C2^2	96,122
C₃⋊C₈.₂C₂² = Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	48	4	C3:C8.2C2^2	96,125
C₃⋊C₈.₃C₂² = Q₈.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	48	4	C3:C8.3C2^2	96,149
C₃⋊C₈.₄C₂² = Q₈.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊C₈	48	4-	C3:C8.4C2^2	96,158
C₃⋊C₈.₅C₂² = D₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4-	C3:C8.5C2^2	96,119
C₃⋊C₈.₆C₂² = Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8.6C2^2	96,123
C₃⋊C₈.₇C₂² = S₃×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4-	C3:C8.7C2^2	96,124
C₃⋊C₈.₈C₂² = D₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4+	C3:C8.8C2^2	96,126
C₃⋊C₈.₉C₂² = C₂×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	96		C3:C8.9C2^2	96,150
C₃⋊C₈.₁₀C₂² = Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8.10C2^2	96,157
C₃⋊C₈.₁₁C₂² = C₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	2	C3:C8.11C2^2	96,108
C₃⋊C₈.₁₂C₂² = D₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8.12C2^2	96,114
C₃⋊C₈.₁₃C₂² = D₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8.13C2^2	96,155

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