Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₆

Direct product G=N×Q with N=C₃₆ and Q=C₆

		d	ρ	Label	ID
C₆×C₃₆		216		C6xC36	216,73

Semidirect products G=N:Q with N=C₃₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊₁C₆ = D₃₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	36	6+	C36:1C6	216,54
C₃₆⋊₂C₆ = C₄×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	36	6	C36:2C6	216,53
C₃₆⋊₃C₆ = D₄×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	36	6	C36:3C6	216,78
C₃₆⋊₄C₆ = C₂×C₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃₆	72		C36:4C6	216,75
C₃₆⋊₅C₆ = C₃×D₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36:5C6	216,46
C₃₆⋊₆C₆ = C₁₂×D₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36:6C6	216,45
C₃₆⋊₇C₆ = D₄×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	108		C36:7C6	216,76

Non-split extensions G=N.Q with N=C₃₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁C₆ = C₃₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	72	6-	C36.1C6	216,52
C₃₆.₂C₆ = C₉⋊C₂₄	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	72	6	C36.2C6	216,15
C₃₆.₃C₆ = Q₈×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃₆	72	6	C36.3C6	216,81
C₃₆.₄C₆ = C₈×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃₆	72	3	C36.4C6	216,20
C₃₆.₅C₆ = C₃×Dic₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36.5C6	216,43
C₃₆.₆C₆ = C₃×C₉⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36.6C6	216,12
C₃₆.₇C₆ = D₄×C₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	108	2	C36.7C6	216,10
C₃₆.₈C₆ = Q₈×C₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	216	2	C36.8C6	216,11
C₃₆.₉C₆ = Q₈×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₆	216		C36.9C6	216,79

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