Extensions 1→N→G→Q→1 with N=C₃₉ and Q=C₆

Direct product G=N×Q with N=C₃₉ and Q=C₆

		d	ρ	Label	ID
C₃×C₇₈		234		C3xC78	234,16

Semidirect products G=N:Q with N=C₃₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊₁C₆ = D₃₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃₉	39	6+	C39:1C6	234,9
C₃₉⋊₂C₆ = C₃×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃₉	39	6	C39:2C6	234,7
C₃₉⋊₃C₆ = S₃×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃₉	39	6	C39:3C6	234,8
C₃₉⋊₄C₆ = C₆×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃₉	78	3	C39:4C6	234,10
C₃₉⋊₅C₆ = C₃×D₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₉	78	2	C39:5C6	234,13
C₃₉⋊₆C₆ = C₃²×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃₉	117		C39:6C6	234,11
C₃₉⋊₇C₆ = S₃×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₉	78	2	C39:7C6	234,12

Non-split extensions G=N.Q with N=C₃₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.C₆ = C₁₃⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃₉	117	6	C39.C6	234,1
C₃₉.₂C₆ = C₂×C₁₃⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃₉	234	3	C39.2C6	234,2
C₃₉.₃C₆ = C₉×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃₉	117	2	C39.3C6	234,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁