Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊D₈

Direct product G=N×Q with N=C₃ and Q=C₂²⋊D₈

		d	ρ	Label	ID
C₃×C₂²⋊D₈		48		C3xC2^2:D8	192,880

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²⋊D₈) = D₁₂⋊₁₃D₄	φ: C₂²⋊D₈/C₂²⋊C₈ → C₂ ⊆ Aut C₃	48		C3:1(C2^2:D8)	192,291
C₃⋊₂(C₂²⋊D₈) = D₄⋊D₁₂	φ: C₂²⋊D₈/D₄⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C2^2:D8)	192,332
C₃⋊₃(C₂²⋊D₈) = D₁₂⋊₁₆D₄	φ: C₂²⋊D₈/C₄⋊D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^2:D8)	192,595
C₃⋊₄(C₂²⋊D₈) = D₁₂⋊D₄	φ: C₂²⋊D₈/C₂×D₈ → C₂ ⊆ Aut C₃	48		C3:4(C2^2:D8)	192,715
C₃⋊₅(C₂²⋊D₈) = (C₂×C₆)⋊₈D₈	φ: C₂²⋊D₈/C₂²×D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2^2:D8)	192,776

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁