Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₈

Direct product G=N×Q with N=C₃₆ and Q=C₈

		d	ρ	Label	ID
C₄×C₇₂		288		C4xC72	288,46

Semidirect products G=N:Q with N=C₃₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊₁C₈ = C₃₆⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:1C8	288,11
C₃₆⋊₂C₈ = C₄×C₉⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:2C8	288,9
C₃₆⋊₃C₈ = C₉×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:3C8	288,55

Non-split extensions G=N.Q with N=C₃₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁C₈ = C₃₆.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.1C8	288,19
C₃₆.₂C₈ = C₉⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	288	2	C36.2C8	288,1
C₃₆.₃C₈ = C₂×C₉⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.3C8	288,18
C₃₆.₄C₈ = C₉×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.4C8	288,60

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