Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=C₆

Direct product G=N×Q with N=C₄○D₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₄○D₈		96		C6xC4oD8	192,1461

Semidirect products G=N:Q with N=C₄○D₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁C₆ = C₃×C₄○D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	96	2	C4oD8:1C6	192,941
C₄○D₈⋊₂C₆ = C₃×C₁₆⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:2C6	192,942
C₄○D₈⋊₃C₆ = C₃×D₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:3C6	192,1464
C₄○D₈⋊₄C₆ = C₃×D₄○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:4C6	192,1465
C₄○D₈⋊₅C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:5C6	192,1466
C₄○D₈⋊₆C₆ = C₃×Q₈○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	96	4	C4oD8:6C6	192,1467

Non-split extensions G=N.Q with N=C₄○D₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁C₆ = C₃×D₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	96	2	C4oD8.1C6	192,165
C₄○D₈.₂C₆ = C₃×D₈⋊₂C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8.2C6	192,166
C₄○D₈.₃C₆ = C₃×C₈.₂₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8.3C6	192,877
C₄○D₈.₄C₆ = C₃×Q₃₂⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₈	96	4	C4oD8.4C6	192,943
C₄○D₈.₅C₆ = C₃×C₈○D₈	φ: trivial image	48	2	C4oD8.5C6	192,876

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁