Extensions 1→N→G→Q→1 with N=C₃×D₁₃ and Q=C₆

Direct product G=N×Q with N=C₃×D₁₃ and Q=C₆

		d	ρ	Label	ID
C₃×C₆×D₁₃		234		C3xC6xD13	468,50

Semidirect products G=N:Q with N=C₃×D₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₃)⋊C₆ = S₃×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₁₃	39	12+	(C3xD13):C6	468,31
(C₃×D₁₃)⋊₂C₆ = C₆×C₁₃⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₁₃	78	6	(C3xD13):2C6	468,33
(C₃×D₁₃)⋊₃C₆ = C₃×S₃×D₁₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₁₃	78	4	(C3xD13):3C6	468,42

Non-split extensions G=N.Q with N=C₃×D₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₃).₁C₆ = C₃⋊F₁₃	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₁₃	39	12	(C3xD13).1C6	468,30
(C₃×D₁₃).₂C₆ = C₁₃⋊C₃₆	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₁₃	117	12	(C3xD13).2C6	468,7
(C₃×D₁₃).₃C₆ = C₃×F₁₃	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₁₃	39	12	(C3xD13).3C6	468,29
(C₃×D₁₃).₄C₆ = C₂×C₁₃⋊C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₁₃	234	6	(C3xD13).4C6	468,8
(C₃×D₁₃).₅C₆ = C₃×C₃₉⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₁₃	78	4	(C3xD13).5C6	468,37
(C₃×D₁₃).₆C₆ = C₉×C₁₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₁₃	117	4	(C3xD13).6C6	468,9
(C₃×D₁₃).₇C₆ = C₃²×C₁₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₁₃	117		(C3xD13).7C6	468,36
(C₃×D₁₃).₈C₆ = C₁₈×D₁₃	φ: trivial image	234	2	(C3xD13).8C6	468,15

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