Extensions 1→N→G→Q→1 with N=C₃xC₁₅ and Q=C₆

Direct product G=NxQ with N=C₃xC₁₅ and Q=C₆

		d	ρ	Label	ID
C₃²xC₃₀		270		C3^2xC30	270,30

Semidirect products G=N:Q with N=C₃xC₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₅):₁C₆ = He₃:D₅	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₅	45	6+	(C3xC15):1C6	270,14
(C₃xC₁₅):₂C₆ = D₅xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₅	45	6	(C3xC15):2C6	270,6
(C₃xC₁₅):₃C₆ = C₅xC₃²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₅	45	6	(C3xC15):3C6	270,10
(C₃xC₁₅):₄C₆ = C₁₀xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₅	90	3	(C3xC15):4C6	270,21
(C₃xC₁₅):₅C₆ = C₃xC₃:D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90		(C3xC15):5C6	270,27
(C₃xC₁₅):₆C₆ = C₃²xD₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90		(C3xC15):6C6	270,25
(C₃xC₁₅):₇C₆ = D₅xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	135		(C3xC15):7C6	270,23
(C₃xC₁₅):₈C₆ = S₃xC₃xC₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90		(C3xC15):8C6	270,24
(C₃xC₁₅):₉C₆ = C₁₅xC₃:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90		(C3xC15):9C6	270,26

Non-split extensions G=N.Q with N=C₃xC₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₅).C₆ = D₅x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃xC₁₅	45	6	(C3xC15).C6	270,7
(C₃xC₁₅).₂C₆ = C₁₀x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃xC₁₅	90	3	(C3xC15).2C6	270,22
(C₃xC₁₅).₃C₆ = C₉xD₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90	2	(C3xC15).3C6	270,13
(C₃xC₁₅).₄C₆ = D₅xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	135		(C3xC15).4C6	270,5
(C₃xC₁₅).₅C₆ = S₃xC₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₃xC₁₅	90	2	(C3xC15).5C6	270,9

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