Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₂³

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₃⋊Dic₃		288		C2^3xC3:Dic3	288,1016

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁C₂³ = S₃²×D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3:1C2^3	288,958
C₃⋊Dic₃⋊₂C₂³ = C₂×S₃×C₃⋊D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3:2C2^3	288,976
C₃⋊Dic₃⋊₃C₂³ = S₃²×C₂×C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:3C2^3	288,950
C₃⋊Dic₃⋊₄C₂³ = C₂×D₆⋊D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:4C2^3	288,952
C₃⋊Dic₃⋊₅C₂³ = C₂²×S₃×Dic₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:5C2^3	288,969
C₃⋊Dic₃⋊₆C₂³ = C₂²×D₆⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3:6C2^3	288,973
C₃⋊Dic₃⋊₇C₂³ = C₂×D₄×C₃⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3:7C2^3	288,1007
C₃⋊Dic₃⋊₈C₂³ = C₂²×C₃²⋊₇D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3:8C2^3	288,1017
C₃⋊Dic₃⋊₉C₂³ = C₂²×C₄×C₃⋊S₃	φ: trivial image	144		C3:Dic3:9C2^3	288,1004

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁C₂³ = C₃²⋊D₈⋊₅C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.1C2^3	288,871
C₃⋊Dic₃.₂C₂³ = C₃²⋊D₈⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.2C2^3	288,872
C₃⋊Dic₃.₃C₂³ = C₃⋊S₃⋊D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.3C2^3	288,873
C₃⋊Dic₃.₄C₂³ = C₃²⋊Q₁₆⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.4C2^3	288,874
C₃⋊Dic₃.₅C₂³ = C₃⋊S₃⋊₂SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.5C2^3	288,875
C₃⋊Dic₃.₆C₂³ = C₃⋊S₃⋊Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.6C2^3	288,876
C₃⋊Dic₃.₇C₂³ = C₂×C₃²⋊D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.7C2^3	288,883
C₃⋊Dic₃.₈C₂³ = C₆².₁₂D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.8C2^3	288,884
C₃⋊Dic₃.₉C₂³ = C₆².₁₃D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.9C2^3	288,885
C₃⋊Dic₃.₁₀C₂³ = C₂×C₃²⋊₂SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.10C2^3	288,886
C₃⋊Dic₃.₁₁C₂³ = C₆².₁₅D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4-	C3:Dic3.11C2^3	288,887
C₃⋊Dic₃.₁₂C₂³ = C₂×C₃²⋊Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.12C2^3	288,888
C₃⋊Dic₃.₁₃C₂³ = C₂×S₃×Dic₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.13C2^3	288,942
C₃⋊Dic₃.₁₄C₂³ = C₂×D₁₂⋊₅S₃	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	96		C3:Dic3.14C2^3	288,943
C₃⋊Dic₃.₁₅C₂³ = D₁₂.₃₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.15C2^3	288,945
C₃⋊Dic₃.₁₆C₂³ = D₁₂.₃₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4-	C3:Dic3.16C2^3	288,946
C₃⋊Dic₃.₁₇C₂³ = S₃×C₄○D₁₂	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.17C2^3	288,953
C₃⋊Dic₃.₁₈C₂³ = D₁₂⋊₂₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	4	C3:Dic3.18C2^3	288,955
C₃⋊Dic₃.₁₉C₂³ = Dic₆.₂₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.19C2^3	288,957
C₃⋊Dic₃.₂₀C₂³ = S₃×D₄⋊₂S₃	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.20C2^3	288,959
C₃⋊Dic₃.₂₁C₂³ = Dic₆⋊₁₂D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.21C2^3	288,960
C₃⋊Dic₃.₂₂C₂³ = D₁₂⋊₁₂D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.22C2^3	288,961
C₃⋊Dic₃.₂₃C₂³ = D₁₂⋊₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	8+	C3:Dic3.23C2^3	288,962
C₃⋊Dic₃.₂₄C₂³ = D₁₂.₂₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.24C2^3	288,963
C₃⋊Dic₃.₂₅C₂³ = S₃²×Q₈	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.25C2^3	288,965
C₃⋊Dic₃.₂₆C₂³ = D₁₂⋊₁₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.26C2^3	288,967
C₃⋊Dic₃.₂₇C₂³ = C₂×D₆.₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	48		C3:Dic3.27C2^3	288,970
C₃⋊Dic₃.₂₈C₂³ = C₃²⋊2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.28C2^3	288,978
C₃⋊Dic₃.₂₉C₂³ = C₂×C₃⋊S₃⋊₃C₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.29C2^3	288,929
C₃⋊Dic₃.₃₀C₂³ = C₂×C₃²⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.30C2^3	288,930
C₃⋊Dic₃.₃₁C₂³ = C₃⋊S₃⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.31C2^3	288,931
C₃⋊Dic₃.₃₂C₂³ = C₆².(C₂×C₄)	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8-	C3:Dic3.32C2^3	288,935
C₃⋊Dic₃.₃₃C₂³ = C₁₂⋊S₃.C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.33C2^3	288,937
C₃⋊Dic₃.₃₄C₂³ = C₂²×C₃²⋊₂C₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.34C2^3	288,939
C₃⋊Dic₃.₃₅C₂³ = C₂×C₆².C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.35C2^3	288,940
C₃⋊Dic₃.₃₆C₂³ = C₂×D₁₂⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.36C2^3	288,944
C₃⋊Dic₃.₃₇C₂³ = C₂×Dic₃.D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.37C2^3	288,947
C₃⋊Dic₃.₃₈C₂³ = C₂×D₆.D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.38C2^3	288,948
C₃⋊Dic₃.₃₉C₂³ = D₁₂⋊₂₃D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.39C2^3	288,954
C₃⋊Dic₃.₄₀C₂³ = Dic₆.₂₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.40C2^3	288,964
C₃⋊Dic₃.₄₁C₂³ = S₃×Q₈⋊₃S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.41C2^3	288,966
C₃⋊Dic₃.₄₂C₂³ = D₁₂⋊₁₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48	8+	C3:Dic3.42C2^3	288,968
C₃⋊Dic₃.₄₃C₂³ = C₂×D₆.₄D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.43C2^3	288,971
C₃⋊Dic₃.₄₄C₂³ = C₂²×C₃²⋊₂Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	96		C3:Dic3.44C2^3	288,975
C₃⋊Dic₃.₄₅C₂³ = C₂²×C₃²⋊₄Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	288		C3:Dic3.45C2^3	288,1003
C₃⋊Dic₃.₄₆C₂³ = C₂×C₁₂.₅₉D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.46C2^3	288,1006
C₃⋊Dic₃.₄₇C₂³ = C₂×C₁₂.D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.47C2^3	288,1008
C₃⋊Dic₃.₄₈C₂³ = C₃²⋊₈2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.48C2^3	288,1009
C₃⋊Dic₃.₄₉C₂³ = C₂×Q₈×C₃⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.49C2^3	288,1010
C₃⋊Dic₃.₅₀C₂³ = C₃²⋊₇2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.50C2^3	288,1012
C₃⋊Dic₃.₅₁C₂³ = C₄○D₄×C₃⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.51C2^3	288,1013
C₃⋊Dic₃.₅₂C₂³ = C₆².₁₅₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.52C2^3	288,1014
C₃⋊Dic₃.₅₃C₂³ = C₃²⋊₉2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃⋊Dic₃	144		C3:Dic3.53C2^3	288,1015
C₃⋊Dic₃.₅₄C₂³ = C₂×C₁₂.₂₆D₆	φ: trivial image	144		C3:Dic3.54C2^3	288,1011

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Extensions 1→N→G→Q→1 with N=C3⋊Dic3 and Q=C23

Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₂³