Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₆

Direct product G=N×Q with N=C₂³ and Q=C₆

		d	ρ	Label	ID
C₂³×C₆		48		C2^3xC6	48,52

Semidirect products G=N:Q with N=C₂³ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₆ = C₂²×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂³	12		C2^3:C6	48,49
C₂³⋊₂C₆ = C₆×D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂³	24		C2^3:2C6	48,45

Non-split extensions G=N.Q with N=C₂³ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₆ = C₄×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂³	12	3	C2^3.C6	48,31
C₂³.₂C₆ = C₃×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂³	24		C2^3.2C6	48,21

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C23 and Q=C6