Extensions 1→N→G→Q→1 with N=C₃ and Q=D₇₂

Direct product G=N×Q with N=C₃ and Q=D₇₂

		d	ρ	Label	ID
C₃×D₇₂		144	2	C3xD72	432,108

Semidirect products G=N:Q with N=C₃ and Q=D₇₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₇₂ = C₇₂⋊₁S₃	φ: D₇₂/C₇₂ → C₂ ⊆ Aut C₃	216		C3:1D72	432,172
C₃⋊₂D₇₂ = C₃⋊D₇₂	φ: D₇₂/D₃₆ → C₂ ⊆ Aut C₃	72	4+	C3:2D72	432,64

Non-split extensions G=N.Q with N=C₃ and Q=D₇₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₇₂ = D₂₁₆	φ: D₇₂/C₇₂ → C₂ ⊆ Aut C₃	216	2+	C3.D72	432,8

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=D72