Extensions 1→N→G→Q→1 with N=C₅₂ and Q=C₆

Direct product G=N×Q with N=C₅₂ and Q=C₆

		d	ρ	Label	ID
C₂×C₁₅₆		312		C2xC156	312,42

Semidirect products G=N:Q with N=C₅₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂⋊₁C₆ = D₅₂⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	52	6+	C52:1C6	312,10
C₅₂⋊₂C₆ = C₄×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	52	6	C52:2C6	312,9
C₅₂⋊₃C₆ = D₄×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	52	6	C52:3C6	312,23
C₅₂⋊₄C₆ = C₂×C₄×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅₂	104		C52:4C6	312,22
C₅₂⋊₅C₆ = C₃×D₅₂	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	156	2	C52:5C6	312,29
C₅₂⋊₆C₆ = C₁₂×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	156	2	C52:6C6	312,28
C₅₂⋊₇C₆ = D₄×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	156	2	C52:7C6	312,43

Non-split extensions G=N.Q with N=C₅₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂.₁C₆ = Dic₂₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	104	6-	C52.1C6	312,8
C₅₂.₂C₆ = C₁₃⋊₂C₂₄	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	104	6	C52.2C6	312,1
C₅₂.₃C₆ = Q₈×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅₂	104	6	C52.3C6	312,24
C₅₂.₄C₆ = C₈×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅₂	104	3	C52.4C6	312,2
C₅₂.₅C₆ = C₃×Dic₂₆	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	312	2	C52.5C6	312,27
C₅₂.₆C₆ = C₃×C₁₃⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	312	2	C52.6C6	312,4
C₅₂.₇C₆ = Q₈×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₅₂	312	2	C52.7C6	312,44

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