Extensions 1→N→G→Q→1 with N=C₃²xC₃:C₈ and Q=C₂

Direct product G=NxQ with N=C₃²xC₃:C₈ and Q=C₂

		d	ρ	Label	ID
C₃xC₆xC₃:C₈		144		C3xC6xC3:C8	432,469

Semidirect products G=N:Q with N=C₃²xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xC₃:C₈):₁C₂ = C₃³:₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):1C2	432,438
(C₃²xC₃:C₈):₂C₂ = C₃xC₃:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):2C2	432,419
(C₃²xC₃:C₈):₃C₂ = C₃³:₁₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8):3C2	432,443
(C₃²xC₃:C₈):₄C₂ = C₃³:₁₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):4C2	432,444
(C₃²xC₃:C₈):₅C₂ = C₃xD₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):5C2	432,421
(C₃²xC₃:C₈):₆C₂ = C₃xC₃²:₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):6C2	432,422
(C₃²xC₃:C₈):₇C₂ = C₃²xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):7C2	432,475
(C₃²xC₃:C₈):₈C₂ = C₃xS₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):8C2	432,414
(C₃²xC₃:C₈):₉C₂ = C₃xC₁₂.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):9C2	432,415
(C₃²xC₃:C₈):₁₀C₂ = C₃:S₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8):10C2	432,431
(C₃²xC₃:C₈):₁₁C₂ = C₁₂.₆₉S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):11C2	432,432
(C₃²xC₃:C₈):₁₂C₂ = C₃³:₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8):12C2	432,434
(C₃²xC₃:C₈):₁₃C₂ = C₃³:₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):13C2	432,435
(C₃²xC₃:C₈):₁₄C₂ = C₃xD₆.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):14C2	432,416
(C₃²xC₃:C₈):₁₅C₂ = C₃xC₁₂.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8):15C2	432,417
(C₃²xC₃:C₈):₁₆C₂ = C₃²xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):16C2	432,476
(C₃²xC₃:C₈):₁₇C₂ = C₃²xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8):17C2	432,477
(C₃²xC₃:C₈):₁₈C₂ = C₃²xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8):18C2	432,465
(C₃²xC₃:C₈):₁₉C₂ = C₃²xC₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	72		(C3^2xC3:C8):19C2	432,470
(C₃²xC₃:C₈):₂₀C₂ = S₃xC₃xC₂₄	φ: trivial image	144		(C3^2xC3:C8):20C2	432,464

Non-split extensions G=N.Q with N=C₃²xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xC₃:C₈).₁C₂ = C₃³:₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8).1C2	432,447
(C₃²xC₃:C₈).₂C₂ = C₃xC₃²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	48	4	(C3^2xC3:C8).2C2	432,424
(C₃²xC₃:C₈).₃C₂ = C₃²xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₃:C₈	144		(C3^2xC3:C8).3C2	432,478

Extensions 1→N→G→Q→1 with N=C32xC3:C8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₃²xC₃:C₈ and Q=C₂