Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₄

Direct product G=NxQ with N=C₃₆ and Q=C₄

		d	ρ	Label	ID
C₄xC₃₆		144		C4xC36	144,20

Semidirect products G=N:Q with N=C₃₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆:₁C₄ = C₄:Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36:1C4	144,13
C₃₆:₂C₄ = C₄xDic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36:2C4	144,11
C₃₆:₃C₄ = C₉xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36:3C4	144,22

Non-split extensions G=N.Q with N=C₃₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁C₄ = C₄.Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.1C4	144,10
C₃₆.₂C₄ = C₉:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144	2	C36.2C4	144,1
C₃₆.₃C₄ = C₂xC₉:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36.3C4	144,9
C₃₆.₄C₄ = C₉xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.4C4	144,24

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