Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅₈

Direct product G=N×Q with N=C₄ and Q=D₅₈

		d	ρ	Label	ID
C₂×C₄×D₂₉		232		C2xC4xD29	464,36

Semidirect products G=N:Q with N=C₄ and Q=D₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₅₈ = D₄×D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	116	4+	C4:1D58	464,39
C₄⋊₂D₅₈ = C₂×D₁₁₆	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₄	232		C4:2D58	464,37

Non-split extensions G=N.Q with N=C₄ and Q=D₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₅₈ = D₄⋊D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4+	C4.1D58	464,15
C₄.₂D₅₈ = D₄.D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4-	C4.2D58	464,16
C₄.₃D₅₈ = Q₈⋊D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4+	C4.3D58	464,17
C₄.₄D₅₈ = C₂₉⋊Q₁₆	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	464	4-	C4.4D58	464,18
C₄.₅D₅₈ = D₄⋊₂D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4-	C4.5D58	464,40
C₄.₆D₅₈ = Q₈×D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4-	C4.6D58	464,41
C₄.₇D₅₈ = Q₈⋊₂D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₄	232	4+	C4.7D58	464,42
C₄.₈D₅₈ = C₂₃₂⋊C₂	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₄	232	2	C4.8D58	464,6
C₄.₉D₅₈ = D₂₃₂	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₄	232	2+	C4.9D58	464,7
C₄.₁₀D₅₈ = Dic₁₁₆	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₄	464	2-	C4.10D58	464,8
C₄.₁₁D₅₈ = C₂×Dic₅₈	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₄	464		C4.11D58	464,35
C₄.₁₂D₅₈ = C₈×D₂₉	central extension (φ=1)	232	2	C4.12D58	464,4
C₄.₁₃D₅₈ = C₈⋊D₂₉	central extension (φ=1)	232	2	C4.13D58	464,5
C₄.₁₄D₅₈ = C₂×C₂₉⋊₂C₈	central extension (φ=1)	464		C4.14D58	464,9
C₄.₁₅D₅₈ = C₄.Dic₂₉	central extension (φ=1)	232	2	C4.15D58	464,10
C₄.₁₆D₅₈ = D₁₁₆⋊₅C₂	central extension (φ=1)	232	2	C4.16D58	464,38

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