Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆xQ₈

Direct product G=NxQ with N=C₄ and Q=C₆xQ₈

		d	ρ	Label	ID
Q₈xC₂xC₁₂		192		Q8xC2xC12	192,1405

Semidirect products G=N:Q with N=C₄ and Q=C₆xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₆xQ₈) = C₆xC₄:Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192		C4:1(C6xQ8)	192,1420
C₄:₂(C₆xQ₈) = C₃xD₄xQ₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	96		C4:2(C6xQ8)	192,1438

Non-split extensions G=N.Q with N=C₄ and Q=C₆xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(C₆xQ₈) = C₆xC₄.Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.1(C6xQ8)	192,858
C₄.₂(C₆xQ₈) = C₆xC₂.D₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.2(C6xQ8)	192,859
C₄.₃(C₆xQ₈) = C₃xC₂³.₂₅D₄	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	96	C4.3(C6xQ8)	192,860
C₄.₄(C₆xQ₈) = C₃xM₄(2):C₄	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	96	C4.4(C6xQ8)	192,861
C₄.₅(C₆xQ₈) = C₃xC₈:₃Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.5(C6xQ8)	192,931
C₄.₆(C₆xQ₈) = C₃xC₈.₅Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.6(C6xQ8)	192,932
C₄.₇(C₆xQ₈) = C₃xC₈:₂Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.7(C6xQ8)	192,933
C₄.₈(C₆xQ₈) = C₃xC₈:Q₈	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.8(C6xQ8)	192,934
C₄.₉(C₆xQ₈) = C₆xC₄².C₂	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192	C4.9(C6xQ8)	192,1416
C₄.₁₀(C₆xQ₈) = C₃xC₂³.₃₇C₂³	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	96	C4.10(C6xQ8)	192,1422
C₄.₁₁(C₆xQ₈) = C₃xC₂³.₄₁C₂³	φ: C₆xQ₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	96	C4.11(C6xQ8)	192,1433
C₄.₁₂(C₆xQ₈) = C₃xD₄:Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	96	C4.12(C6xQ8)	192,907
C₄.₁₃(C₆xQ₈) = C₃xQ₈:Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	192	C4.13(C6xQ8)	192,908
C₄.₁₄(C₆xQ₈) = C₃xD₄:₂Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	96	C4.14(C6xQ8)	192,909
C₄.₁₅(C₆xQ₈) = C₃xC₄.Q₁₆	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	192	C4.15(C6xQ8)	192,910
C₄.₁₆(C₆xQ₈) = C₃xD₄.Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	96	C4.16(C6xQ8)	192,911
C₄.₁₇(C₆xQ₈) = C₃xQ₈.Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	192	C4.17(C6xQ8)	192,912
C₄.₁₈(C₆xQ₈) = C₃xD₄:₃Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	96	C4.18(C6xQ8)	192,1443
C₄.₁₉(C₆xQ₈) = C₃xQ₈:₃Q₈	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	192	C4.19(C6xQ8)	192,1446
C₄.₂₀(C₆xQ₈) = C₃xQ₈²	φ: C₆xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₄	192	C4.20(C6xQ8)	192,1447
C₄.₂₁(C₆xQ₈) = C₆xC₄:C₈	central extension (φ=1)	192	C4.21(C6xQ8)	192,855
C₄.₂₂(C₆xQ₈) = C₃xC₄:M₄(2)	central extension (φ=1)	96	C4.22(C6xQ8)	192,856
C₄.₂₃(C₆xQ₈) = C₃xC₄².₆C₂²	central extension (φ=1)	96	C4.23(C6xQ8)	192,857
C₄.₂₄(C₆xQ₈) = Q₈xC₂₄	central extension (φ=1)	192	C4.24(C6xQ8)	192,878
C₄.₂₅(C₆xQ₈) = C₃xC₈:₄Q₈	central extension (φ=1)	192	C4.25(C6xQ8)	192,879

Extensions 1→N→G→Q→1 with N=C4 and Q=C6xQ8

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆xQ₈