Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₈

Direct product G=N×Q with N=C₈ and Q=D₁₈

		d	ρ	Label	ID
C₂×C₈×D₉		144		C2xC8xD9	288,110

Semidirect products G=N:Q with N=C₈ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₁₈ = C₈⋊D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	72	4+	C8:1D18	288,118
C₈⋊₂D₁₈ = D₈⋊D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	72	4	C8:2D18	288,121
C₈⋊₃D₁₈ = D₇₂⋊C₂	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	72	4+	C8:3D18	288,124
C₈⋊₄D₁₈ = D₈×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	72	4+	C8:4D18	288,120
C₈⋊₅D₁₈ = SD₁₆×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	72	4	C8:5D18	288,123
C₈⋊₆D₁₈ = M₄(2)×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	72	4	C8:6D18	288,116
C₈⋊₇D₁₈ = C₂×D₇₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:7D18	288,114
C₈⋊₈D₁₈ = C₂×C₇₂⋊C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:8D18	288,113
C₈⋊₉D₁₈ = C₂×C₈⋊D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:9D18	288,111

Non-split extensions G=N.Q with N=C₈ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₁₈ = C₈.D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	144	4-	C8.1D18	288,119
C₈.₂D₁₈ = SD₁₆⋊D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	144	4-	C8.2D18	288,125
C₈.₃D₁₈ = Q₁₆⋊D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₈	144	4	C8.3D18	288,128
C₈.₄D₁₈ = C₉⋊D₁₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4+	C8.4D18	288,33
C₈.₅D₁₈ = D₈.D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4-	C8.5D18	288,34
C₈.₆D₁₈ = C₉⋊SD₃₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4+	C8.6D18	288,35
C₈.₇D₁₈ = C₉⋊Q₃₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	288	4-	C8.7D18	288,36
C₈.₈D₁₈ = D₈⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4-	C8.8D18	288,122
C₈.₉D₁₈ = Q₁₆×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4-	C8.9D18	288,127
C₈.₁₀D₁₈ = D₇₂⋊₅C₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4+	C8.10D18	288,129
C₈.₁₁D₁₈ = SD₁₆⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4	C8.11D18	288,126
C₈.₁₂D₁₈ = D₃₆.C₄	φ: D₁₈/D₉ → C₂ ⊆ Aut C₈	144	4	C8.12D18	288,117
C₈.₁₃D₁₈ = D₁₄₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2+	C8.13D18	288,6
C₈.₁₄D₁₈ = C₁₄₄⋊C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.14D18	288,7
C₈.₁₅D₁₈ = Dic₇₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	288	2-	C8.15D18	288,8
C₈.₁₆D₁₈ = C₂×Dic₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	288		C8.16D18	288,109
C₈.₁₇D₁₈ = D₇₂⋊₇C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.17D18	288,115
C₈.₁₈D₁₈ = C₁₆×D₉	central extension (φ=1)	144	2	C8.18D18	288,4
C₈.₁₉D₁₈ = C₁₆⋊D₉	central extension (φ=1)	144	2	C8.19D18	288,5
C₈.₂₀D₁₈ = C₂×C₉⋊C₁₆	central extension (φ=1)	288		C8.20D18	288,18
C₈.₂₁D₁₈ = C₃₆.C₈	central extension (φ=1)	144	2	C8.21D18	288,19
C₈.₂₂D₁₈ = D₃₆.₂C₄	central extension (φ=1)	144	2	C8.22D18	288,112

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Extensions 1→N→G→Q→1 with N=C8 and Q=D18

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₈