Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₃²

Direct product G=N×Q with N=C₃₆ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₃₆		324		C3^2xC36	324,105

Semidirect products G=N:Q with N=C₃₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊C₃² = C₁₂×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₆	108		C36:C3^2	324,107

Non-split extensions G=N.Q with N=C₃₆ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.C₃² = C₄×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃₆	108	3	C36.C3^2	324,108
C₃₆.₂C₃² = C₄×C₂₇⋊C₃	central extension (φ=1)	108	3	C36.2C3^2	324,30

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C36 and Q=C32