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

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

		d	ρ	Label	ID
C₄×C₃₆		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 = C₄×Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36:2C4	144,11
C₃₆⋊₃C₄ = C₉×C₄⋊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 = C₂×C₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	144		C36.3C4	144,9
C₃₆.₄C₄ = C₉×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.4C4	144,24

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