Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₈D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₈D₆

		d	ρ	Label	ID
C₃×C₂³.₂₈D₆		48		C3xC2^3.28D6	288,700

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₈D₆) = C₆².₂₀C₂³	φ: C₂³.₂₈D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.28D6)	288,498
C₃⋊₂(C₂³.₂₈D₆) = C₆².₇₅C₂³	φ: C₂³.₂₈D₆/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.28D6)	288,553
C₃⋊₃(C₂³.₂₈D₆) = C₆².₆₀D₄	φ: C₂³.₂₈D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.28D6)	288,614
C₃⋊₄(C₂³.₂₈D₆) = C₆².₅₆D₄	φ: C₂³.₂₈D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.28D6)	288,609
C₃⋊₅(C₂³.₂₈D₆) = C₆².₁₂₉D₄	φ: C₂³.₂₈D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.28D6)	288,786

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₂₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₂₈D₆) = C₂³.₂₈D₁₈	φ: C₂³.₂₈D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2^3.28D6)	288,139

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁