Extensions 1→N→G→Q→1 with N=C₅₈ and Q=D₄

Direct product G=N×Q with N=C₅₈ and Q=D₄

		d	ρ	Label	ID
D₄×C₅₈		232		D4xC58	464,46

Semidirect products G=N:Q with N=C₅₈ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊₁D₄ = C₂×D₁₁₆	φ: D₄/C₄ → C₂ ⊆ Aut C₅₈	232		C58:1D4	464,37
C₅₈⋊₂D₄ = C₂×C₂₉⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232		C58:2D4	464,44

Non-split extensions G=N.Q with N=C₅₈ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈.₁D₄ = C₂₃₂⋊C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₅₈	232	2	C58.1D4	464,6
C₅₈.₂D₄ = D₂₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₅₈	232	2+	C58.2D4	464,7
C₅₈.₃D₄ = Dic₁₁₆	φ: D₄/C₄ → C₂ ⊆ Aut C₅₈	464	2-	C58.3D4	464,8
C₅₈.₄D₄ = C₄⋊Dic₂₉	φ: D₄/C₄ → C₂ ⊆ Aut C₅₈	464		C58.4D4	464,13
C₅₈.₅D₄ = C₅₈.D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	464		C58.5D4	464,12
C₅₈.₆D₄ = D₅₈⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232		C58.6D4	464,14
C₅₈.₇D₄ = D₄⋊D₂₉	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232	4+	C58.7D4	464,15
C₅₈.₈D₄ = D₄.D₂₉	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232	4-	C58.8D4	464,16
C₅₈.₉D₄ = Q₈⋊D₂₉	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232	4+	C58.9D4	464,17
C₅₈.₁₀D₄ = C₂₉⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	464	4-	C58.10D4	464,18
C₅₈.₁₁D₄ = C₂³.D₂₉	φ: D₄/C₂² → C₂ ⊆ Aut C₅₈	232		C58.11D4	464,19
C₅₈.₁₂D₄ = C₂²⋊C₄×C₂₉	central extension (φ=1)	232		C58.12D4	464,21
C₅₈.₁₃D₄ = C₄⋊C₄×C₂₉	central extension (φ=1)	464		C58.13D4	464,22
C₅₈.₁₄D₄ = D₈×C₂₉	central extension (φ=1)	232	2	C58.14D4	464,25
C₅₈.₁₅D₄ = SD₁₆×C₂₉	central extension (φ=1)	232	2	C58.15D4	464,26
C₅₈.₁₆D₄ = Q₁₆×C₂₉	central extension (φ=1)	464	2	C58.16D4	464,27

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