Extensions 1→N→G→Q→1 with N=D₃₆ and Q=C₂

Direct product G=N×Q with N=D₃₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₃₆		72		C2xD36	144,39

Semidirect products G=N:Q with N=D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₁C₂ = D₇₂	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	72	2+	D36:1C2	144,8
D₃₆⋊₂C₂ = D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	72	4+	D36:2C2	144,16
D₃₆⋊₃C₂ = D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	36	4+	D36:3C2	144,41
D₃₆⋊₄C₂ = Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	72	4+	D36:4C2	144,44
D₃₆⋊₅C₂ = D₃₆⋊₅C₂	φ: trivial image	72	2	D36:5C2	144,40

Non-split extensions G=N.Q with N=D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆.₁C₂ = C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	72	2	D36.1C2	144,7
D₃₆.₂C₂ = Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆	72	4+	D36.2C2	144,18

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