Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₆

Direct product G=N×Q with N=C₂³ and Q=Dic₆

		d	ρ	Label	ID
C₂³×Dic₆		192		C2^3xDic6	192,1510

Semidirect products G=N:Q with N=C₂³ and Q=Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₂³⋊Dic₆ = C₂×A₄⋊Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂³	48	C2^3:Dic6	192,1468
C₂³⋊₂Dic₆ = C₂³⋊₂Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	96	C2^3:2Dic6	192,506
C₂³⋊₃Dic₆ = C₂³⋊₃Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48	C2^3:3Dic6	192,1042
C₂³⋊₄Dic₆ = C₂×Dic₃.D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96	C2^3:4Dic6	192,1040
C₂³⋊₅Dic₆ = C₂×C₁₂.₄₈D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂³	96	C2^3:5Dic6	192,1343

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁Dic₆ = C₂⁴.₃D₆	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂³	48		C2^3.1Dic6	192,970
C₂³.₂Dic₆ = C₂⁴.₄D₆	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂³	48		C2^3.2Dic6	192,971
C₂³.₃Dic₆ = C₂⁴.₁₂D₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.3Dic6	192,85
C₂³.₄Dic₆ = C₂⁴.₁₃D₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.4Dic6	192,86
C₂³.₅Dic₆ = C₁₂.₂₁C₄²	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.5Dic6	192,119
C₂³.₆Dic₆ = C₂⁴.₁₇D₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.6Dic6	192,507
C₂³.₇Dic₆ = C₂⁴.₁₈D₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.7Dic6	192,508
C₂³.₈Dic₆ = C₂³.₈Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.8Dic6	192,683
C₂³.₉Dic₆ = C₂³.₉Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.9Dic6	192,684
C₂³.₁₀Dic₆ = C₁₂.₄C₄²	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96		C2^3.10Dic6	192,117
C₂³.₁₁Dic₆ = C₂⁴.₅₅D₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96		C2^3.11Dic6	192,501
C₂³.₁₂Dic₆ = C₂⁴.₅₇D₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96		C2^3.12Dic6	192,505
C₂³.₁₃Dic₆ = C₂⁴.₅₈D₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96		C2^3.13Dic6	192,509
C₂³.₁₄Dic₆ = C₂×C₁₂.₅₃D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂³	96		C2^3.14Dic6	192,682
C₂³.₁₅Dic₆ = C₁₂.₁₀C₄²	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.15Dic6	192,111
C₂³.₁₆Dic₆ = C₂×C₂₄.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.16Dic6	192,666
C₂³.₁₇Dic₆ = C₂⁴.₇₃D₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.17Dic6	192,769
C₂³.₁₈Dic₆ = C₂⁴.₇₅D₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.18Dic6	192,771
C₂³.₁₉Dic₆ = C₂×C₆.C₄²	central extension (φ=1)	192		C2^3.19Dic6	192,767
C₂³.₂₀Dic₆ = C₂²×Dic₃⋊C₄	central extension (φ=1)	192		C2^3.20Dic6	192,1342
C₂³.₂₁Dic₆ = C₂²×C₄⋊Dic₃	central extension (φ=1)	192		C2^3.21Dic6	192,1344

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Extensions 1→N→G→Q→1 with N=C23 and Q=Dic6

Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₆