Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂×C₆

Direct product G=N×Q with N=D₈ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×D₈		96		C2xC6xD8	192,1458

Semidirect products G=N:Q with N=D₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁(C₂×C₆) = C₆×D₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	96		D8:1(C2xC6)	192,938
D₈⋊₂(C₂×C₆) = C₃×C₁₆⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	48	4	D8:2(C2xC6)	192,942
D₈⋊₃(C₂×C₆) = C₆×C₈⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	48		D8:3(C2xC6)	192,1462
D₈⋊₄(C₂×C₆) = C₃×D₈⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	48	4	D8:4(C2xC6)	192,1464
D₈⋊₅(C₂×C₆) = C₃×D₄○SD₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	48	4	D8:5(C2xC6)	192,1466
D₈⋊₆(C₂×C₆) = C₆×C₄○D₈	φ: trivial image	96		D8:6(C2xC6)	192,1461
D₈⋊₇(C₂×C₆) = C₃×D₄○D₈	φ: trivial image	48	4	D8:7(C2xC6)	192,1465

Non-split extensions G=N.Q with N=D₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁(C₂×C₆) = C₆×SD₃₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	96		D8.1(C2xC6)	192,939
D₈.₂(C₂×C₆) = C₃×C₄○D₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	96	2	D8.2(C2xC6)	192,941
D₈.₃(C₂×C₆) = C₃×Q₃₂⋊C₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₈	96	4	D8.3(C2xC6)	192,943
D₈.₄(C₂×C₆) = C₃×Q₈○D₈	φ: trivial image	96	4	D8.4(C2xC6)	192,1467

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁