Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₈

Direct product G=N×Q with N=C₂³ and Q=D₁₈

		d	ρ	Label	ID
C₂⁴×D₉		144		C2^4xD9	288,839

Semidirect products G=N:Q with N=C₂³ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₁₈ = C₂²×C₃.S₄	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	36		C2^3:D18	288,835
C₂³⋊₂D₁₈ = C₂³⋊₂D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	72		C2^3:2D18	288,147
C₂³⋊₃D₁₈ = D₄⋊₆D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	72	4	C2^3:3D18	288,358
C₂³⋊₄D₁₈ = C₂×D₄×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	72		C2^3:4D18	288,356
C₂³⋊₅D₁₈ = C₂²×C₉⋊D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3:5D18	288,366

Non-split extensions G=N.Q with N=C₂³ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₁₈ = C₁₂.₁S₄	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	72	6-	C2^3.1D18	288,332
C₂³.₂D₁₈ = C₄×C₃.S₄	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	36	6	C2^3.2D18	288,333
C₂³.₃D₁₈ = C₂²⋊D₃₆	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	36	6+	C2^3.3D18	288,334
C₂³.₄D₁₈ = C₂×C₆.S₄	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	72		C2^3.4D18	288,341
C₂³.₅D₁₈ = C₂³.D₁₈	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂³	36	6	C2^3.5D18	288,342
C₂³.₆D₁₈ = C₂².D₃₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	72	4	C2^3.6D18	288,13
C₂³.₇D₁₈ = C₂³⋊₂Dic₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	72	4	C2^3.7D18	288,41
C₂³.₈D₁₈ = C₂³.₈D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.8D18	288,89
C₂³.₉D₁₈ = C₂³.₉D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.9D18	288,93
C₂³.₁₀D₁₈ = D₁₈⋊D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.10D18	288,94
C₂³.₁₁D₁₈ = Dic₉.D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.11D18	288,95
C₂³.₁₂D₁₈ = C₃₆.₁₇D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.12D18	288,146
C₂³.₁₃D₁₈ = C₃₆⋊₂D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.13D18	288,148
C₂³.₁₄D₁₈ = Dic₉⋊D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.14D18	288,149
C₂³.₁₅D₁₈ = C₃₆⋊D₄	φ: D₁₈/C₉ → C₂² ⊆ Aut C₂³	144		C2^3.15D18	288,150
C₂³.₁₆D₁₈ = C₂³.₁₆D₁₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.16D18	288,87
C₂³.₁₇D₁₈ = C₂²⋊₂Dic₁₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.17D18	288,88
C₂³.₁₈D₁₈ = C₂²⋊C₄×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	72		C2^3.18D18	288,90
C₂³.₁₉D₁₈ = Dic₉⋊₄D₄	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.19D18	288,91
C₂³.₂₀D₁₈ = C₂²⋊₃D₃₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	72		C2^3.20D18	288,92
C₂³.₂₁D₁₈ = C₂².₄D₃₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.21D18	288,96
C₂³.₂₂D₁₈ = D₄×Dic₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.22D18	288,144
C₂³.₂₃D₁₈ = C₂³.₂₃D₁₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.23D18	288,145
C₂³.₂₄D₁₈ = C₂×D₄⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂³	144		C2^3.24D18	288,357
C₂³.₂₅D₁₈ = C₃₆.₄₉D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.25D18	288,134
C₂³.₂₆D₁₈ = C₂³.₂₆D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.26D18	288,136
C₂³.₂₇D₁₈ = C₄×C₉⋊D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.27D18	288,138
C₂³.₂₈D₁₈ = C₂³.₂₈D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.28D18	288,139
C₂³.₂₉D₁₈ = C₃₆⋊₇D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.29D18	288,140
C₂³.₃₀D₁₈ = C₂×C₁₈.D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.30D18	288,162
C₂³.₃₁D₁₈ = C₂⁴⋊₄D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	72		C2^3.31D18	288,163
C₂³.₃₂D₁₈ = C₂×D₃₆⋊₅C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.32D18	288,355
C₂³.₃₃D₁₈ = C₁₈.C₄²	central extension (φ=1)	288		C2^3.33D18	288,38
C₂³.₃₄D₁₈ = C₂×C₄×Dic₉	central extension (φ=1)	288		C2^3.34D18	288,132
C₂³.₃₅D₁₈ = C₂×Dic₉⋊C₄	central extension (φ=1)	288		C2^3.35D18	288,133
C₂³.₃₆D₁₈ = C₂×C₄⋊Dic₉	central extension (φ=1)	288		C2^3.36D18	288,135
C₂³.₃₇D₁₈ = C₂×D₁₈⋊C₄	central extension (φ=1)	144		C2^3.37D18	288,137
C₂³.₃₈D₁₈ = C₂²×Dic₁₈	central extension (φ=1)	288		C2^3.38D18	288,352
C₂³.₃₉D₁₈ = C₂²×C₄×D₉	central extension (φ=1)	144		C2^3.39D18	288,353
C₂³.₄₀D₁₈ = C₂²×D₃₆	central extension (φ=1)	144		C2^3.40D18	288,354
C₂³.₄₁D₁₈ = C₂³×Dic₉	central extension (φ=1)	288		C2^3.41D18	288,365

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Extensions 1→N→G→Q→1 with N=C23 and Q=D18

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₈