Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆₈

Direct product G=N×Q with N=C₃ and Q=D₆₈

		d	ρ	Label	ID
C₃×D₆₈		204	2	C3xD68	408,17

Semidirect products G=N:Q with N=C₃ and Q=D₆₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₆₈ = D₂₀₄	φ: D₆₈/C₆₈ → C₂ ⊆ Aut C₃	204	2+	C3:1D68	408,27
C₃⋊₂D₆₈ = C₃⋊D₆₈	φ: D₆₈/D₃₄ → C₂ ⊆ Aut C₃	204	4+	C3:2D68	408,11

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁