Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₈

Direct product G=N×Q with N=C₁₈ and Q=D₈

		d	ρ	Label	ID
D₈×C₁₈		144		D8xC18	288,182

Semidirect products G=N:Q with N=C₁₈ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁D₈ = C₂×D₇₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	144		C18:1D8	288,114
C₁₈⋊₂D₈ = C₂×D₄⋊D₉	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144		C18:2D8	288,142

Non-split extensions G=N.Q with N=C₁₈ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁D₈ = D₁₄₄	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	144	2+	C18.1D8	288,6
C₁₈.₂D₈ = C₁₄₄⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	144	2	C18.2D8	288,7
C₁₈.₃D₈ = Dic₇₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	288	2-	C18.3D8	288,8
C₁₈.₄D₈ = C₇₂⋊₁C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	288		C18.4D8	288,26
C₁₈.₅D₈ = C₂.D₇₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₈	144		C18.5D8	288,28
C₁₈.₆D₈ = C₃₆.Q₈	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	288		C18.6D8	288,14
C₁₈.₇D₈ = C₁₈.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144		C18.7D8	288,17
C₁₈.₈D₈ = C₉⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144	4+	C18.8D8	288,33
C₁₈.₉D₈ = D₈.D₉	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.9D8	288,34
C₁₈.₁₀D₈ = C₉⋊SD₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144	4+	C18.10D8	288,35
C₁₈.₁₁D₈ = C₉⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	288	4-	C18.11D8	288,36
C₁₈.₁₂D₈ = D₄⋊Dic₉	φ: D₈/D₄ → C₂ ⊆ Aut C₁₈	144		C18.12D8	288,40
C₁₈.₁₃D₈ = C₉×D₄⋊C₄	central extension (φ=1)	144		C18.13D8	288,52
C₁₈.₁₄D₈ = C₉×C₂.D₈	central extension (φ=1)	288		C18.14D8	288,57
C₁₈.₁₅D₈ = C₉×D₁₆	central extension (φ=1)	144	2	C18.15D8	288,61
C₁₈.₁₆D₈ = C₉×SD₃₂	central extension (φ=1)	144	2	C18.16D8	288,62
C₁₈.₁₇D₈ = C₉×Q₃₂	central extension (φ=1)	288	2	C18.17D8	288,63

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