Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃²

Direct product G=N×Q with N=C₈ and Q=S₃²

		d	ρ	Label	ID
S₃²×C₈		48	4	S3^2xC8	288,437

Semidirect products G=N:Q with N=C₈ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁S₃² = C₂₄⋊₁D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	48	4+	C8:1S3^2	288,442
C₈⋊₂S₃² = D₂₄⋊S₃	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	48	4	C8:2S3^2	288,443
C₈⋊₃S₃² = C₂₄⋊₆D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	48	4	C8:3S3^2	288,446
C₈⋊₄S₃² = S₃×D₂₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4+	C8:4S3^2	288,441
C₈⋊₅S₃² = S₃×C₂₄⋊C₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4	C8:5S3^2	288,440
C₈⋊₆S₃² = S₃×C₈⋊S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4	C8:6S3^2	288,438
C₈⋊₇S₃² = C₂₄⋊₄D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8:7S3^2	288,445
C₈⋊₈S₃² = C₂₄⋊₉D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8:8S3^2	288,444
C₈⋊₉S₃² = C₂₄⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8:9S3^2	288,439

Non-split extensions G=N.Q with N=C₈ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁S₃² = C₂₄.₃D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	96	4-	C8.1S3^2	288,448
C₈.₂S₃² = Dic₁₂⋊S₃	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	48	4	C8.2S3^2	288,449
C₈.₃S₃² = D₁₂.₄D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₈	48	4	C8.3S3^2	288,459
C₈.₄S₃² = C₃⋊D₄₈	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4+	C8.4S3^2	288,194
C₈.₅S₃² = C₃²⋊₃SD₃₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	96	4-	C8.5S3^2	288,196
C₈.₆S₃² = C₂₄.₄₉D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4+	C8.6S3^2	288,197
C₈.₇S₃² = C₃²⋊₃Q₃₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	96	4-	C8.7S3^2	288,199
C₈.₈S₃² = S₃×Dic₁₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	96	4-	C8.8S3^2	288,447
C₈.₉S₃² = D₂₄⋊₇S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	96	4-	C8.9S3^2	288,455
C₈.₁₀S₃² = D₆.₃D₁₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4+	C8.10S3^2	288,456
C₈.₁₁S₃² = D₆.₁D₁₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4	C8.11S3^2	288,454
C₈.₁₂S₃² = C₂₄.₆₄D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₈	48	4	C8.12S3^2	288,452
C₈.₁₃S₃² = C₃²⋊₂D₁₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	96	4	C8.13S3^2	288,193
C₈.₁₄S₃² = D₂₄.S₃	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	96	4	C8.14S3^2	288,195
C₈.₁₅S₃² = C₃²⋊₂Q₃₂	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	96	4	C8.15S3^2	288,198
C₈.₁₆S₃² = C₂₄.₂₃D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8.16S3^2	288,450
C₈.₁₇S₃² = D₂₄⋊₅S₃	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8.17S3^2	288,458
C₈.₁₈S₃² = D₁₂.₂D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8.18S3^2	288,457
C₈.₁₉S₃² = C₂₄.D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₈	48	4	C8.19S3^2	288,453
C₈.₂₀S₃² = S₃×C₃⋊C₁₆	central extension (φ=1)	96	4	C8.20S3^2	288,189
C₈.₂₁S₃² = C₂₄.₆₀D₆	central extension (φ=1)	48	4	C8.21S3^2	288,190
C₈.₂₂S₃² = C₂₄.₆₁D₆	central extension (φ=1)	96	4	C8.22S3^2	288,191
C₈.₂₃S₃² = C₂₄.₆₂D₆	central extension (φ=1)	48	4	C8.23S3^2	288,192
C₈.₂₄S₃² = C₂₄.₆₃D₆	central extension (φ=1)	48	4	C8.24S3^2	288,451

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Extensions 1→N→G→Q→1 with N=C8 and Q=S32

Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃²