Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₃:C₈

Direct product G=NxQ with N=C₄ and Q=C₂xC₃:C₈

		d	ρ	Label	ID
C₂xC₄xC₃:C₈		192		C2xC4xC3:C8	192,479

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₃:C₈) = D₄xC₃:C₈	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	96		C4:1(C2xC3:C8)	192,569
C₄:₂(C₂xC₃:C₈) = C₂xC₁₂:C₈	φ: C₂xC₃:C₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192		C4:2(C2xC3:C8)	192,482

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₃:C₈) = C₁₂.₅₇D₈	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	96		C4.1(C2xC3:C8)	192,93
C₄.₂(C₂xC₃:C₈) = C₁₂.₂₆Q₁₆	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	192		C4.2(C2xC3:C8)	192,94
C₄.₃(C₂xC₃:C₈) = C₂₄.₉₉D₄	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	96	4	C4.3(C2xC3:C8)	192,120
C₄.₄(C₂xC₃:C₈) = Q₈xC₃:C₈	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	192		C4.4(C2xC3:C8)	192,582
C₄.₅(C₂xC₃:C₈) = C₂₄.₇₈C₂³	φ: C₂xC₃:C₈/C₃:C₈ → C₂ ⊆ Aut C₄	96	4	C4.5(C2xC3:C8)	192,699
C₄.₆(C₂xC₃:C₈) = C₂₄:₂C₈	φ: C₂xC₃:C₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192		C4.6(C2xC3:C8)	192,16
C₄.₇(C₂xC₃:C₈) = C₂₄:₁C₈	φ: C₂xC₃:C₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	192		C4.7(C2xC3:C8)	192,17
C₄.₈(C₂xC₃:C₈) = C₂₄.₁C₈	φ: C₂xC₃:C₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	48	2	C4.8(C2xC3:C8)	192,22
C₄.₉(C₂xC₃:C₈) = C₂xC₁₂.C₈	φ: C₂xC₃:C₈/C₂xC₁₂ → C₂ ⊆ Aut C₄	96		C4.9(C2xC3:C8)	192,656
C₄.₁₀(C₂xC₃:C₈) = C₈xC₃:C₈	central extension (φ=1)	192		C4.10(C2xC3:C8)	192,12
C₄.₁₁(C₂xC₃:C₈) = C₂₄:C₈	central extension (φ=1)	192		C4.11(C2xC3:C8)	192,14
C₄.₁₂(C₂xC₃:C₈) = C₄xC₃:C₁₆	central extension (φ=1)	192		C4.12(C2xC3:C8)	192,19
C₄.₁₃(C₂xC₃:C₈) = C₂₄.C₈	central extension (φ=1)	192		C4.13(C2xC3:C8)	192,20
C₄.₁₄(C₂xC₃:C₈) = C₂xC₃:C₃₂	central extension (φ=1)	192		C4.14(C2xC3:C8)	192,57
C₄.₁₅(C₂xC₃:C₈) = C₃:M₆(2)	central extension (φ=1)	96	2	C4.15(C2xC3:C8)	192,58
C₄.₁₆(C₂xC₃:C₈) = C₄².₂₈₅D₆	central extension (φ=1)	96		C4.16(C2xC3:C8)	192,484
C₄.₁₇(C₂xC₃:C₈) = C₂²xC₃:C₁₆	central extension (φ=1)	192		C4.17(C2xC3:C8)	192,655

׿

x

:

Z

F

o

wr

Q

<