Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₈ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₈×C₃⋊C₈		192		C8xC3:C8	192,12

Semidirect products G=N:Q with N=C₈ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃⋊C₈) = C₂₄⋊₁C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	192		C8:1(C3:C8)	192,17
C₈⋊₂(C₃⋊C₈) = C₂₄⋊₂C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	192		C8:2(C3:C8)	192,16
C₈⋊₃(C₃⋊C₈) = C₂₄⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	192		C8:3(C3:C8)	192,14

Non-split extensions G=N.Q with N=C₈ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃⋊C₈) = C₂₄.₁C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	48	2	C8.1(C3:C8)	192,22
C₈.₂(C₃⋊C₈) = C₂₄.C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	192		C8.2(C3:C8)	192,20
C₈.₃(C₃⋊C₈) = C₃⋊M₆(2)	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.3(C3:C8)	192,58
C₈.₄(C₃⋊C₈) = C₃⋊C₆₄	central extension (φ=1)	192	2	C8.4(C3:C8)	192,1
C₈.₅(C₃⋊C₈) = C₄×C₃⋊C₁₆	central extension (φ=1)	192		C8.5(C3:C8)	192,19
C₈.₆(C₃⋊C₈) = C₂×C₃⋊C₃₂	central extension (φ=1)	192		C8.6(C3:C8)	192,57

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