Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₈

Direct product G=N×Q with N=C₁₀ and Q=D₁₈

		d	ρ	Label	ID
D₉×C₂×C₁₀		180		D9xC2xC10	360,48

Semidirect products G=N:Q with N=C₁₀ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁D₁₈ = C₂×D₅×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	90	4+	C10:1D18	360,45
C₁₀⋊₂D₁₈ = C₂²×D₄₅	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180		C10:2D18	360,49

Non-split extensions G=N.Q with N=C₁₀ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₁₈ = C₄₅⋊Q₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	360	4-	C10.1D18	360,7
C₁₀.₂D₁₈ = D₉×Dic₅	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4-	C10.2D18	360,8
C₁₀.₃D₁₈ = D₉₀.C₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4+	C10.3D18	360,9
C₁₀.₄D₁₈ = C₅⋊D₃₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4+	C10.4D18	360,10
C₁₀.₅D₁₈ = D₅×Dic₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4-	C10.5D18	360,11
C₁₀.₆D₁₈ = C₄₅⋊D₄	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4-	C10.6D18	360,12
C₁₀.₇D₁₈ = C₉⋊D₂₀	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₀	180	4+	C10.7D18	360,13
C₁₀.₈D₁₈ = Dic₉₀	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	360	2-	C10.8D18	360,25
C₁₀.₉D₁₈ = C₄×D₄₅	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2	C10.9D18	360,26
C₁₀.₁₀D₁₈ = D₁₈₀	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2+	C10.10D18	360,27
C₁₀.₁₁D₁₈ = C₂×Dic₄₅	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	360		C10.11D18	360,28
C₁₀.₁₂D₁₈ = C₄₅⋊₇D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₀	180	2	C10.12D18	360,29
C₁₀.₁₃D₁₈ = C₅×Dic₁₈	central extension (φ=1)	360	2	C10.13D18	360,20
C₁₀.₁₄D₁₈ = D₉×C₂₀	central extension (φ=1)	180	2	C10.14D18	360,21
C₁₀.₁₅D₁₈ = C₅×D₃₆	central extension (φ=1)	180	2	C10.15D18	360,22
C₁₀.₁₆D₁₈ = C₁₀×Dic₉	central extension (φ=1)	360		C10.16D18	360,23
C₁₀.₁₇D₁₈ = C₅×C₉⋊D₄	central extension (φ=1)	180	2	C10.17D18	360,24

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