Extensions 1→N→G→Q→1 with N=D₃₆ and Q=C₆

Direct product G=N×Q with N=D₃₆ and Q=C₆

		d	ρ	Label	ID
C₆×D₃₆		144		C6xD36	432,343

Semidirect products G=N:Q with N=D₃₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₁C₆ = D₃₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	72	12+	D36:1C6	432,155
D₃₆⋊₂C₆ = D₄×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	36	12+	D36:2C6	432,362
D₃₆⋊₃C₆ = D₃₆⋊₃C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	72	12+	D36:3C6	432,371
D₃₆⋊₄C₆ = D₇₂⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	72	6+	D36:4C6	432,123
D₃₆⋊₅C₆ = C₂×D₃₆⋊C₃	φ: C₆/C₂ → C₃ ⊆ Out D₃₆	72		D36:5C6	432,354
D₃₆⋊₆C₆ = D₃₆⋊₆C₆	φ: C₆/C₂ → C₃ ⊆ Out D₃₆	72	6	D36:6C6	432,355
D₃₆⋊₇C₆ = C₃×D₇₂	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	144	2	D36:7C6	432,108
D₃₆⋊₈C₆ = C₃×D₄⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	72	4	D36:8C6	432,149
D₃₆⋊₉C₆ = C₃×D₄×D₉	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	72	4	D36:9C6	432,356
D₃₆⋊₁₀C₆ = C₃×Q₈⋊₃D₉	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	144	4	D36:10C6	432,365
D₃₆⋊₁₁C₆ = C₃×D₃₆⋊₅C₂	φ: trivial image	72	2	D36:11C6	432,344

Non-split extensions G=N.Q with N=D₃₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆.₁C₆ = D₃₆.C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	72	12+	D36.1C6	432,163
D₃₆.₂C₆ = C₇₂⋊₂C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₆	72	6	D36.2C6	432,122
D₃₆.₃C₆ = C₃×C₇₂⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	144	2	D36.3C6	432,107
D₃₆.₄C₆ = C₃×Q₈⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out D₃₆	144	4	D36.4C6	432,157

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