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

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

		d	ρ	Label	ID
C₆xC₈.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 = C₃xD₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	2	C8.C4:1C6	192,165
C₈.C₄:₂C₆ = C₃xM₅(2):C₂	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:2C6	192,167
C₈.C₄:₃C₆ = C₃xM₄(2).C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:3C6	192,863
C₈.C₄:₄C₆ = C₃xC₈.₂₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:4C6	192,877
C₈.C₄:₅C₆ = C₃xD₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:5C6	192,904
C₈.C₄:₆C₆ = C₃xD₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:6C6	192,905
C₈.C₄:₇C₆ = C₃xD₄.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4:7C6	192,906
C₈.C₄:₈C₆ = C₃xC₈oD₈	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 = C₃xC₈.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4.1C6	192,168
C₈.C₄.₂C₆ = C₃xC₈.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4.2C6	192,171
C₈.C₄.₃C₆ = C₃xC₈.₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₈.C₄	96	2	C8.C4.3C6	192,174

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