Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₄

Direct product G=N×Q with N=C₄○D₁₂ and Q=C₄

		d	ρ	Label	ID
C₄×C₄○D₁₂		96		C4xC4oD12	192,1033

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁C₄ = C₂×C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:1C4	192,486
C₄○D₁₂⋊₂C₄ = C₂³.₂₈D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:2C4	192,672
C₄○D₁₂⋊₃C₄ = C₄○D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:3C4	192,525
C₄○D₁₂⋊₄C₄ = C₄.(C₂×D₁₂)	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:4C4	192,561
C₄○D₁₂⋊₅C₄ = C₄²⋊₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:5C4	192,564
C₄○D₁₂⋊₆C₄ = C₂³.₅₄D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:6C4	192,692
C₄○D₁₂⋊₇C₄ = C₂×D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:7C4	192,697
C₄○D₁₂⋊₈C₄ = M₄(2)⋊₂₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:8C4	192,698
C₄○D₁₂⋊₉C₄ = C₆.₈2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:9C4	192,1063
C₄○D₁₂⋊₁₀C₄ = C₄².₁₈₈D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:10C4	192,1081
C₄○D₁₂⋊₁₁C₄ = C₄².₉₁D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:11C4	192,1082

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁C₄ = D₁₂.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96	2	C4oD12.1C4	192,67
C₄○D₁₂.₂C₄ = Dic₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4	C4oD12.2C4	192,74
C₄○D₁₂.₃C₄ = C₁₆.₁₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4	C4oD12.3C4	192,466
C₄○D₁₂.₄C₄ = C₂×D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12.4C4	192,1303
C₄○D₁₂.₅C₄ = M₄(2)⋊₂₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.5C4	192,1304
C₄○D₁₂.₆C₄ = D₁₂.₄C₈	φ: trivial image	96	2	C4oD12.6C4	192,460
C₄○D₁₂.₇C₄ = C₂×C₈○D₁₂	φ: trivial image	96		C4oD12.7C4	192,1297

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