Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₆

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₂³⋊C₄		48		C6xC2^3:C4	192,842

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁C₆ = C₃×C₂≀C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	24	4	C2^3:C4:1C6	192,157
C₂³⋊C₄⋊₂C₆ = C₃×C₄²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	24	4	C2^3:C4:2C6	192,159
C₂³⋊C₄⋊₃C₆ = C₃×C₂≀C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	24	4	C2^3:C4:3C6	192,890
C₂³⋊C₄⋊₄C₆ = C₃×C₂³.₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	48	4	C2^3:C4:4C6	192,891
C₂³⋊C₄⋊₅C₆ = C₃×C₂³.C₂³	φ: trivial image	48	4	C2^3:C4:5C6	192,843

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₆ = C₃×C₂³.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	48	4	C2^3:C4.1C6	192,158
C₂³⋊C₄.₂C₆ = C₃×C₄²⋊₃C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³⋊C₄	48	4	C2^3:C4.2C6	192,160

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