Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄₆

Direct product G=N×Q with N=C₄ and Q=D₄₆

		d	ρ	Label	ID
C₂×C₄×D₂₃		184		C2xC4xD23	368,28

Semidirect products G=N:Q with N=C₄ and Q=D₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₄₆ = D₄×D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	92	4+	C4:1D46	368,31
C₄⋊₂D₄₆ = C₂×D₉₂	φ: D₄₆/C₄₆ → C₂ ⊆ Aut C₄	184		C4:2D46	368,29

Non-split extensions G=N.Q with N=C₄ and Q=D₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₄₆ = D₄⋊D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4+	C4.1D46	368,14
C₄.₂D₄₆ = D₄.D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4-	C4.2D46	368,15
C₄.₃D₄₆ = Q₈⋊D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4+	C4.3D46	368,16
C₄.₄D₄₆ = C₂₃⋊Q₁₆	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	368	4-	C4.4D46	368,17
C₄.₅D₄₆ = D₄⋊₂D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4-	C4.5D46	368,32
C₄.₆D₄₆ = Q₈×D₂₃	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4-	C4.6D46	368,33
C₄.₇D₄₆ = D₉₂⋊C₂	φ: D₄₆/D₂₃ → C₂ ⊆ Aut C₄	184	4+	C4.7D46	368,34
C₄.₈D₄₆ = C₁₈₄⋊C₂	φ: D₄₆/C₄₆ → C₂ ⊆ Aut C₄	184	2	C4.8D46	368,5
C₄.₉D₄₆ = D₁₈₄	φ: D₄₆/C₄₆ → C₂ ⊆ Aut C₄	184	2+	C4.9D46	368,6
C₄.₁₀D₄₆ = Dic₉₂	φ: D₄₆/C₄₆ → C₂ ⊆ Aut C₄	368	2-	C4.10D46	368,7
C₄.₁₁D₄₆ = C₂×Dic₄₆	φ: D₄₆/C₄₆ → C₂ ⊆ Aut C₄	368		C4.11D46	368,27
C₄.₁₂D₄₆ = C₈×D₂₃	central extension (φ=1)	184	2	C4.12D46	368,3
C₄.₁₃D₄₆ = C₈⋊D₂₃	central extension (φ=1)	184	2	C4.13D46	368,4
C₄.₁₄D₄₆ = C₂×C₂₃⋊C₈	central extension (φ=1)	368		C4.14D46	368,8
C₄.₁₅D₄₆ = C₉₂.C₄	central extension (φ=1)	184	2	C4.15D46	368,9
C₄.₁₆D₄₆ = D₉₂⋊₅C₂	central extension (φ=1)	184	2	C4.16D46	368,30

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