Extensions 1→N→G→Q→1 with N=C₅₇ and Q=C₆

Direct product G=N×Q with N=C₅₇ and Q=C₆

		d	ρ	Label	ID
C₃×C₁₁₄		342		C3xC114	342,18

Semidirect products G=N:Q with N=C₅₇ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₇⋊₁C₆ = D₅₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₇	57	6+	C57:1C6	342,11
C₅₇⋊₂C₆ = C₃×C₁₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅₇	57	6	C57:2C6	342,9
C₅₇⋊₃C₆ = S₃×C₁₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₇	57	6	C57:3C6	342,10
C₅₇⋊₄C₆ = C₆×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅₇	114	3	C57:4C6	342,12
C₅₇⋊₅C₆ = C₃×D₅₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₇	114	2	C57:5C6	342,15
C₅₇⋊₆C₆ = C₃²×D₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₅₇	171		C57:6C6	342,13
C₅₇⋊₇C₆ = S₃×C₅₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₇	114	2	C57:7C6	342,14

Non-split extensions G=N.Q with N=C₅₇ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₇.C₆ = C₅₇.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅₇	171	6	C57.C6	342,1
C₅₇.₂C₆ = C₂×C₁₉⋊₂C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₅₇	342	3	C57.2C6	342,2
C₅₇.₃C₆ = C₉×D₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₅₇	171	2	C57.3C6	342,4

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