Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₂²⋊Q₁₆

		d	ρ	Label	ID
C₃×C₂²⋊Q₁₆		96		C3xC2^2:Q16	192,884

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²⋊Q₁₆) = Dic₆.₃₂D₄	φ: C₂²⋊Q₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2^2:Q16)	192,298
C₃⋊₂(C₂²⋊Q₁₆) = D₆⋊Q₁₆	φ: C₂²⋊Q₁₆/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^2:Q16)	192,368
C₃⋊₃(C₂²⋊Q₁₆) = Dic₆.₃₇D₄	φ: C₂²⋊Q₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:3(C2^2:Q16)	192,609
C₃⋊₄(C₂²⋊Q₁₆) = D₆⋊₅Q₁₆	φ: C₂²⋊Q₁₆/C₂×Q₁₆ → C₂ ⊆ Aut C₃	96		C3:4(C2^2:Q16)	192,745
C₃⋊₅(C₂²⋊Q₁₆) = (C₂×C₆)⋊₈Q₁₆	φ: C₂²⋊Q₁₆/C₂²×Q₈ → C₂ ⊆ Aut C₃	96		C3:5(C2^2:Q16)	192,787

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁