Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=C₆

Direct product G=N×Q with N=C₄².C₂ and Q=C₆

		d	ρ	Label	ID
C₆×C₄².C₂		192		C6xC4^2.C2	192,1416

Semidirect products G=N:Q with N=C₄².C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂⋊₁C₆ = C₃×D₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:1C6	192,911
C₄².C₂⋊₂C₆ = C₃×C₄².₇₈C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:2C6	192,921
C₄².C₂⋊₃C₆ = C₃×C₄².₂₉C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:3C6	192,923
C₄².C₂⋊₄C₆ = C₃×C₂².₃₃C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:4C6	192,1428
C₄².C₂⋊₅C₆ = C₃×C₂².₃₄C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:5C6	192,1429
C₄².C₂⋊₆C₆ = C₃×C₂².₃₅C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:6C6	192,1430
C₄².C₂⋊₇C₆ = C₃×C₂³.₄₁C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:7C6	192,1433
C₄².C₂⋊₈C₆ = C₃×C₂².₄₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:8C6	192,1441
C₄².C₂⋊₉C₆ = C₃×C₂².₄₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:9C6	192,1442
C₄².C₂⋊₁₀C₆ = C₃×D₄⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:10C6	192,1443
C₄².C₂⋊₁₁C₆ = C₃×C₂².₅₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:11C6	192,1451
C₄².C₂⋊₁₂C₆ = C₃×C₂².₅₇C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:12C6	192,1452
C₄².C₂⋊₁₃C₆ = C₃×C₂³.₃₆C₂³	φ: trivial image	96		C4^2.C2:13C6	192,1418
C₄².C₂⋊₁₄C₆ = C₃×C₂³.₃₇C₂³	φ: trivial image	96		C4^2.C2:14C6	192,1422

Non-split extensions G=N.Q with N=C₄².C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁C₆ = C₃×C₄².₂C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.1C6	192,136
C₄².C₂.₂C₆ = C₃×Q₈.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.2C6	192,912
C₄².C₂.₃C₆ = C₃×C₄².₃₀C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.3C6	192,924
C₄².C₂.₄C₆ = C₃×C₈.₅Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.4C6	192,932
C₄².C₂.₅C₆ = C₃×C₈⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.5C6	192,934
C₄².C₂.₆C₆ = C₃×Q₈⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.6C6	192,1446
C₄².C₂.₇C₆ = C₃×C₂².₅₈C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.7C6	192,1453

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁