Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆xQ₈

Direct product G=NxQ with N=C₂² and Q=C₆xQ₈

		d	ρ	Label	ID
Q₈xC₂²xC₆		192		Q8xC2^2xC6	192,1532

Semidirect products G=N:Q with N=C₂² and Q=C₆xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₂²:(C₆xQ₈) = C₂xQ₈xA₄	φ: C₆xQ₈/C₂xQ₈ → C₃ ⊆ Aut C₂²	48	C2^2:(C6xQ8)	192,1499
C₂²:₂(C₆xQ₈) = C₆xC₂²:Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	96	C2^2:2(C6xQ8)	192,1412
C₂²:₃(C₆xQ₈) = C₃xD₄xQ₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₂²	96	C2^2:3(C6xQ8)	192,1438

Non-split extensions G=N.Q with N=C₂² and Q=C₆xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆xQ₈) = C₆xC₈.C₄	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.1(C6xQ8)	192,862
C₂².₂(C₆xQ₈) = C₃xM₄(2).C₄	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(C6xQ8)	192,863
C₂².₃(C₆xQ₈) = C₃xC₂³.₃₇C₂³	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.3(C6xQ8)	192,1422
C₂².₄(C₆xQ₈) = C₃xC₂³:₂Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.4(C6xQ8)	192,1432
C₂².₅(C₆xQ₈) = C₃xC₂³.₄₁C₂³	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.5(C6xQ8)	192,1433
C₂².₆(C₆xQ₈) = C₃xD₄:₃Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₂²	96		C2^2.6(C6xQ8)	192,1443
C₂².₇(C₆xQ₈) = C₆xC₂.C₄²	central extension (φ=1)	192		C2^2.7(C6xQ8)	192,808
C₂².₈(C₆xQ₈) = C₁₂xC₄:C₄	central extension (φ=1)	192		C2^2.8(C6xQ8)	192,811
C₂².₉(C₆xQ₈) = C₃xC₂³.₇Q₈	central extension (φ=1)	96		C2^2.9(C6xQ8)	192,813
C₂².₁₀(C₆xQ₈) = C₃xC₄²:₈C₄	central extension (φ=1)	192		C2^2.10(C6xQ8)	192,815
C₂².₁₁(C₆xQ₈) = C₃xC₄²:₉C₄	central extension (φ=1)	192		C2^2.11(C6xQ8)	192,817
C₂².₁₂(C₆xQ₈) = C₃xC₂³.₈Q₈	central extension (φ=1)	96		C2^2.12(C6xQ8)	192,818
C₂².₁₃(C₆xQ₈) = C₃xC₂³.₆₃C₂³	central extension (φ=1)	192		C2^2.13(C6xQ8)	192,820
C₂².₁₄(C₆xQ₈) = C₃xC₂³.₆₅C₂³	central extension (φ=1)	192		C2^2.14(C6xQ8)	192,822
C₂².₁₅(C₆xQ₈) = C₃xC₂³.₆₇C₂³	central extension (φ=1)	192		C2^2.15(C6xQ8)	192,824
C₂².₁₆(C₆xQ₈) = C₂xC₆xC₄:C₄	central extension (φ=1)	192		C2^2.16(C6xQ8)	192,1402
C₂².₁₇(C₆xQ₈) = Q₈xC₂xC₁₂	central extension (φ=1)	192		C2^2.17(C6xQ8)	192,1405
C₂².₁₈(C₆xQ₈) = C₆xC₄².C₂	central extension (φ=1)	192		C2^2.18(C6xQ8)	192,1416
C₂².₁₉(C₆xQ₈) = C₆xC₄:Q₈	central extension (φ=1)	192		C2^2.19(C6xQ8)	192,1420
C₂².₂₀(C₆xQ₈) = C₃xC₂³:Q₈	central stem extension (φ=1)	96		C2^2.20(C6xQ8)	192,826
C₂².₂₁(C₆xQ₈) = C₃xC₂³.₇₈C₂³	central stem extension (φ=1)	192		C2^2.21(C6xQ8)	192,828
C₂².₂₂(C₆xQ₈) = C₃xC₂³.Q₈	central stem extension (φ=1)	96		C2^2.22(C6xQ8)	192,829
C₂².₂₃(C₆xQ₈) = C₃xC₂³.₈₁C₂³	central stem extension (φ=1)	192		C2^2.23(C6xQ8)	192,831
C₂².₂₄(C₆xQ₈) = C₃xC₂³.₄Q₈	central stem extension (φ=1)	96		C2^2.24(C6xQ8)	192,832
C₂².₂₅(C₆xQ₈) = C₃xC₂³.₈₃C₂³	central stem extension (φ=1)	192		C2^2.25(C6xQ8)	192,833

Extensions 1→N→G→Q→1 with N=C22 and Q=C6xQ8

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆xQ₈