Extensions 1→N→G→Q→1 with N=C₉₀ and Q=C₄

Direct product G=N×Q with N=C₉₀ and Q=C₄

		d	ρ	Label	ID
C₂×C₁₈₀		360		C2xC180	360,30

Semidirect products G=N:Q with N=C₉₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₀⋊₁C₄ = C₂×C₉⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₉₀	90	4	C90:1C4	360,44
C₉₀⋊₂C₄ = C₁₈×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₉₀	90	4	C90:2C4	360,43
C₉₀⋊₃C₄ = C₂×Dic₄₅	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360		C90:3C4	360,28
C₉₀⋊₄C₄ = C₁₀×Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360		C90:4C4	360,23
C₉₀⋊₅C₄ = C₁₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360		C90:5C4	360,18

Non-split extensions G=N.Q with N=C₉₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₀.₁C₄ = C₄₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₉₀	360	4	C90.1C4	360,6
C₉₀.₂C₄ = C₉×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₉₀	360	4	C90.2C4	360,5
C₉₀.₃C₄ = C₄₅⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360	2	C90.3C4	360,3
C₉₀.₄C₄ = C₅×C₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360	2	C90.4C4	360,1
C₉₀.₅C₄ = C₉×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₉₀	360	2	C90.5C4	360,2

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