Extensions 1→N→G→Q→1 with N=C₂³ and Q=S₃²

Direct product G=N×Q with N=C₂³ and Q=S₃²

		d	ρ	Label	ID
S₃²×C₂³		48		S3^2xC2^3	288,1040

Semidirect products G=N:Q with N=C₂³ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊S₃² = C₂×S₃×S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	18	6+	C2^3:S3^2	288,1028
C₂³⋊₂S₃² = C₆².₁₂₅C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3:2S3^2	288,631
C₂³⋊₃S₃² = C₃²⋊2₊¹⁺⁴	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	24	4	C2^3:3S3^2	288,978
C₂³⋊₄S₃² = C₂×S₃×C₃⋊D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3:4S3^2	288,976
C₂³⋊₅S₃² = C₂×Dic₃⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	24		C2^3:5S3^2	288,977

Non-split extensions G=N.Q with N=C₂³ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁S₃² = Dic₃.S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	72	6-	C2^3.1S3^2	288,852
C₂³.₂S₃² = Dic₃×S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6-	C2^3.2S3^2	288,853
C₂³.₃S₃² = Dic₃⋊₂S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6	C2^3.3S3^2	288,854
C₂³.₄S₃² = Dic₃⋊S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6	C2^3.4S3^2	288,855
C₂³.₅S₃² = S₃×A₄⋊C₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6	C2^3.5S3^2	288,856
C₂³.₆S₃² = D₆⋊S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6	C2^3.6S3^2	288,857
C₂³.₇S₃² = A₄⋊D₁₂	φ: S₃²/S₃ → S₃ ⊆ Aut C₂³	36	6+	C2^3.7S3^2	288,858
C₂³.₈S₃² = C₆².₃₁D₄	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	24	4	C2^3.8S3^2	288,228
C₂³.₉S₃² = C₆².₃₂D₄	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	24	4	C2^3.9S3^2	288,229
C₂³.₁₀S₃² = C₆².₉₅C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.10S3^2	288,601
C₂³.₁₁S₃² = C₆².₉₈C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.11S3^2	288,604
C₂³.₁₂S₃² = C₆².₁₀₀C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.12S3^2	288,606
C₂³.₁₃S₃² = C₆².₁₀₁C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.13S3^2	288,607
C₂³.₁₄S₃² = C₆².₁₁₁C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.14S3^2	288,617
C₂³.₁₅S₃² = C₆².₁₁₂C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.15S3^2	288,618
C₂³.₁₆S₃² = C₆².₁₁₃C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.16S3^2	288,619
C₂³.₁₇S₃² = C₆².₁₁₇C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.17S3^2	288,623
C₂³.₁₈S₃² = C₆².₁₂₁C₂³	φ: S₃²/C₃² → C₂² ⊆ Aut C₂³	48		C2^3.18S3^2	288,627
C₂³.₁₉S₃² = C₆².₉₄C₂³	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.19S3^2	288,600
C₂³.₂₀S₃² = C₆².₉₇C₂³	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.20S3^2	288,603
C₂³.₂₁S₃² = C₆².₅₆D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.21S3^2	288,609
C₂³.₂₂S₃² = C₆²⋊₃Q₈	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.22S3^2	288,612
C₂³.₂₃S₃² = C₆².₆₀D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.23S3^2	288,614
C₂³.₂₄S₃² = S₃×C₆.D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.24S3^2	288,616
C₂³.₂₅S₃² = Dic₃×C₃⋊D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.25S3^2	288,620
C₂³.₂₆S₃² = C₆²⋊₄D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.26S3^2	288,624
C₂³.₂₇S₃² = C₆²⋊₅D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.27S3^2	288,625
C₂³.₂₈S₃² = C₆²⋊₆D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.28S3^2	288,626
C₂³.₂₉S₃² = C₂×D₆.₃D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂³	48		C2^3.29S3^2	288,970
C₂³.₃₀S₃² = C₆².₉₉C₂³	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.30S3^2	288,605
C₂³.₃₁S₃² = C₆².₅₇D₄	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.31S3^2	288,610
C₂³.₃₂S₃² = C₆².₁₁₅C₂³	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.32S3^2	288,621
C₂³.₃₃S₃² = C₆².₁₁₆C₂³	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	24		C2^3.33S3^2	288,622
C₂³.₃₄S₃² = C₆²⋊₇D₄	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.34S3^2	288,628
C₂³.₃₅S₃² = C₆²⋊₈D₄	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	24		C2^3.35S3^2	288,629
C₂³.₃₆S₃² = C₆²⋊₄Q₈	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.36S3^2	288,630
C₂³.₃₇S₃² = C₂×D₆.₄D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂³	48		C2^3.37S3^2	288,971
C₂³.₃₈S₃² = C₆².₆Q₈	central extension (φ=1)	96		C2^3.38S3^2	288,227
C₂³.₃₉S₃² = C₂×Dic₃²	central extension (φ=1)	96		C2^3.39S3^2	288,602
C₂³.₄₀S₃² = C₂×D₆⋊Dic₃	central extension (φ=1)	96		C2^3.40S3^2	288,608
C₂³.₄₁S₃² = C₂×C₆.D₁₂	central extension (φ=1)	48		C2^3.41S3^2	288,611
C₂³.₄₂S₃² = C₂×Dic₃⋊Dic₃	central extension (φ=1)	96		C2^3.42S3^2	288,613
C₂³.₄₃S₃² = C₂×C₆².C₂²	central extension (φ=1)	96		C2^3.43S3^2	288,615
C₂³.₄₄S₃² = C₂²×S₃×Dic₃	central extension (φ=1)	96		C2^3.44S3^2	288,969
C₂³.₄₅S₃² = C₂²×C₆.D₆	central extension (φ=1)	48		C2^3.45S3^2	288,972
C₂³.₄₆S₃² = C₂²×D₆⋊S₃	central extension (φ=1)	96		C2^3.46S3^2	288,973
C₂³.₄₇S₃² = C₂²×C₃⋊D₁₂	central extension (φ=1)	48		C2^3.47S3^2	288,974
C₂³.₄₈S₃² = C₂²×C₃²⋊₂Q₈	central extension (φ=1)	96		C2^3.48S3^2	288,975

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Extensions 1→N→G→Q→1 with N=C23 and Q=S32

Extensions 1→N→G→Q→1 with N=C₂³ and Q=S₃²