Extensions 1→N→G→Q→1 with N=C₈.C₄ and Q=C₆

Direct product G=N×Q with N=C₈.C₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₈.C₄		96		C6xC8.C4	192,862

Semidirect products G=N:Q with N=C₈.C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁C₆ = C₃×D₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	2	C8.C4:1C6	192,165
C₈.C₄⋊₂C₆ = C₃×M₅(2)⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:2C6	192,167
C₈.C₄⋊₃C₆ = C₃×M₄(2).C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:3C6	192,863
C₈.C₄⋊₄C₆ = C₃×C₈.₂₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:4C6	192,877
C₈.C₄⋊₅C₆ = C₃×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:5C6	192,904
C₈.C₄⋊₆C₆ = C₃×D₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:6C6	192,905
C₈.C₄⋊₇C₆ = C₃×D₄.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4:7C6	192,906
C₈.C₄⋊₈C₆ = C₃×C₈○D₈	φ: trivial image	48	2	C8.C4:8C6	192,876

Non-split extensions G=N.Q with N=C₈.C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁C₆ = C₃×C₈.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4.1C6	192,168
C₈.C₄.₂C₆ = C₃×C₈.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4.2C6	192,171
C₈.C₄.₃C₆ = C₃×C₈.₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	2	C8.C4.3C6	192,174

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