Extensions 1→N→G→Q→1 with N=C₂×C₅₈ and Q=C₂²

Direct product G=N×Q with N=C₂×C₅₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₅₈		464		C2^3xC58	464,51

Semidirect products G=N:Q with N=C₂×C₅₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₈)⋊C₂² = D₄×D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₅₈	116	4+	(C2xC58):C2^2	464,39
(C₂×C₅₈)⋊₂C₂² = D₄×C₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58):2C2^2	464,46
(C₂×C₅₈)⋊₃C₂² = C₂×C₂₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58):3C2^2	464,44
(C₂×C₅₈)⋊₄C₂² = C₂³×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58):4C2^2	464,50

Non-split extensions G=N.Q with N=C₂×C₅₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₈).C₂² = D₄⋊₂D₂₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₅₈	232	4-	(C2xC58).C2^2	464,40
(C₂×C₅₈).₂C₂² = C₄○D₄×C₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232	2	(C2xC58).2C2^2	464,48
(C₂×C₅₈).₃C₂² = C₄×Dic₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).3C2^2	464,11
(C₂×C₅₈).₄C₂² = C₅₈.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).4C2^2	464,12
(C₂×C₅₈).₅C₂² = C₄⋊Dic₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).5C2^2	464,13
(C₂×C₅₈).₆C₂² = D₅₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58).6C2^2	464,14
(C₂×C₅₈).₇C₂² = C₂³.D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58).7C2^2	464,19
(C₂×C₅₈).₈C₂² = C₂×Dic₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).8C2^2	464,35
(C₂×C₅₈).₉C₂² = C₂×C₄×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58).9C2^2	464,36
(C₂×C₅₈).₁₀C₂² = C₂×D₁₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58).10C2^2	464,37
(C₂×C₅₈).₁₁C₂² = D₁₁₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	232	2	(C2xC58).11C2^2	464,38
(C₂×C₅₈).₁₂C₂² = C₂²×Dic₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).12C2^2	464,43
(C₂×C₅₈).₁₃C₂² = C₂²⋊C₄×C₂₉	central extension (φ=1)	232		(C2xC58).13C2^2	464,21
(C₂×C₅₈).₁₄C₂² = C₄⋊C₄×C₂₉	central extension (φ=1)	464		(C2xC58).14C2^2	464,22
(C₂×C₅₈).₁₅C₂² = Q₈×C₅₈	central extension (φ=1)	464		(C2xC58).15C2^2	464,47

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