Extensions 1→N→G→Q→1 with N=C₂×C₅₈ and Q=C₄

Direct product G=N×Q with N=C₂×C₅₈ and Q=C₄

		d	ρ	Label	ID
C₂²×C₁₁₆		464		C2^2xC116	464,45

Semidirect products G=N:Q with N=C₂×C₅₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₈)⋊₁C₄ = D₂₉.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₈	116	4+	(C2xC58):1C4	464,34
(C₂×C₅₈)⋊₂C₄ = C₂²×C₂₉⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₈	116		(C2xC58):2C4	464,49
(C₂×C₅₈)⋊₃C₄ = C₂²⋊C₄×C₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58):3C4	464,21
(C₂×C₅₈)⋊₄C₄ = C₂³.D₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	232		(C2xC58):4C4	464,19
(C₂×C₅₈)⋊₅C₄ = C₂²×Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58):5C4	464,43

Non-split extensions G=N.Q with N=C₂×C₅₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₈).₁C₄ = C₂×C₂₉⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₈	464		(C2xC58).1C4	464,32
(C₂×C₅₈).₂C₄ = C₂₉⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₈	232	4-	(C2xC58).2C4	464,33
(C₂×C₅₈).₃C₄ = M₄(2)×C₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	232	2	(C2xC58).3C4	464,24
(C₂×C₅₈).₄C₄ = C₂×C₂₉⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	464		(C2xC58).4C4	464,9
(C₂×C₅₈).₅C₄ = C₄.Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₈	232	2	(C2xC58).5C4	464,10

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