Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₈ and Q=C₄

Direct product G=N×Q with N=C₃²⋊₂C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊₂C₈		96		C4xC3^2:2C8	288,423

Semidirect products G=N:Q with N=C₃²⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈⋊₁C₄ = C₆².₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8:1C4	288,391
C₃²⋊₂C₈⋊₂C₄ = C₄.₂PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8:2C4	288,394
C₃²⋊₂C₈⋊₃C₄ = C₆².₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8:3C4	288,390
C₃²⋊₂C₈⋊₄C₄ = C₄.PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8:4C4	288,393
C₃²⋊₂C₈⋊₅C₄ = (C₃×C₂₄)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8:5C4	288,415
C₃²⋊₂C₈⋊₆C₄ = C₃²⋊₂C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8:6C4	288,425
C₃²⋊₂C₈⋊₇C₄ = C₈×C₃²⋊C₄	φ: trivial image	48	4	C3^2:2C8:7C4	288,414

Non-split extensions G=N.Q with N=C₃²⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈.₁C₄ = C₄.₃F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.1C4	288,861
C₃²⋊₂C₈.₂C₄ = C₂×C₂.F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	96		C3^2:2C8.2C4	288,865
C₃²⋊₂C₈.₃C₄ = C₆².₂Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.3C4	288,396
C₃²⋊₂C₈.₄C₄ = C₄.₁₉S₃≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8.4C4	288,381
C₃²⋊₂C₈.₅C₄ = C₄.F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.5C4	288,862
C₃²⋊₂C₈.₆C₄ = C₂².F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.6C4	288,866

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁