Extensions 1→N→G→Q→1 with N=C₄ and Q=D₁₈

Direct product G=N×Q with N=C₄ and Q=D₁₈

		d	ρ	Label	ID
C₂×C₄×D₉		72		C2xC4xD9	144,38

Semidirect products G=N:Q with N=C₄ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₁₈ = D₄×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	36	4+	C4:1D18	144,41
C₄⋊₂D₁₈ = C₂×D₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₄	72		C4:2D18	144,39

Non-split extensions G=N.Q with N=C₄ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₁₈ = D₄.D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4-	C4.1D18	144,15
C₄.₂D₁₈ = D₄⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4+	C4.2D18	144,16
C₄.₃D₁₈ = C₉⋊Q₁₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	144	4-	C4.3D18	144,17
C₄.₄D₁₈ = Q₈⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4+	C4.4D18	144,18
C₄.₅D₁₈ = D₄⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4-	C4.5D18	144,42
C₄.₆D₁₈ = Q₈×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4-	C4.6D18	144,43
C₄.₇D₁₈ = Q₈⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₄	72	4+	C4.7D18	144,44
C₄.₈D₁₈ = Dic₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₄	144	2-	C4.8D18	144,4
C₄.₉D₁₈ = C₇₂⋊C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.9D18	144,7
C₄.₁₀D₁₈ = D₇₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₄	72	2+	C4.10D18	144,8
C₄.₁₁D₁₈ = C₂×Dic₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₄	144		C4.11D18	144,37
C₄.₁₂D₁₈ = C₈×D₉	central extension (φ=1)	72	2	C4.12D18	144,5
C₄.₁₃D₁₈ = C₈⋊D₉	central extension (φ=1)	72	2	C4.13D18	144,6
C₄.₁₄D₁₈ = C₂×C₉⋊C₈	central extension (φ=1)	144		C4.14D18	144,9
C₄.₁₅D₁₈ = C₄.Dic₉	central extension (φ=1)	72	2	C4.15D18	144,10
C₄.₁₆D₁₈ = D₃₆⋊₅C₂	central extension (φ=1)	72	2	C4.16D18	144,40

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