Extensions 1→N→G→Q→1 with N=C₃xC₇:C₃ and Q=C₆

Direct product G=NxQ with N=C₃xC₇:C₃ and Q=C₆

		d	ρ	Label	ID
C₃xC₆xC₇:C₃		126		C3xC6xC7:C3	378,52

Semidirect products G=N:Q with N=C₃xC₇:C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₇:C₃):C₆ = D₇:He₃	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3):C6	378,12
(C₃xC₇:C₃):₂C₆ = C₂xC₇:He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₇:C₃	126	3	(C3xC7:C3):2C6	378,28
(C₃xC₇:C₃):₃C₆ = C₃xC₃:F₇	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₇:C₃	42	6	(C3xC7:C3):3C6	378,49
(C₃xC₇:C₃):₄C₆ = C₃²xF₇	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63		(C3xC7:C3):4C6	378,47
(C₃xC₇:C₃):₅C₆ = C₃xS₃xC₇:C₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₇:C₃	42	6	(C3xC7:C3):5C6	378,48

Non-split extensions G=N.Q with N=C₃xC₇:C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₇:C₃).₁C₆ = C₉:₃F₇	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).1C6	378,8
(C₃xC₇:C₃).₂C₆ = C₉:₄F₇	φ: C₆/C₁ → C₆ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).2C6	378,9
(C₃xC₇:C₃).₃C₆ = C₂xC₆₃:C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₇:C₃	126	3	(C3xC7:C3).3C6	378,24
(C₃xC₇:C₃).₄C₆ = C₂xC₆₃:₃C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃xC₇:C₃	126	3	(C3xC7:C3).4C6	378,25
(C₃xC₇:C₃).₅C₆ = C₉xF₇	φ: C₆/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).5C6	378,7
(C₃xC₇:C₃).₆C₆ = C₁₈xC₇:C₃	φ: trivial image	126	3	(C3xC7:C3).6C6	378,23

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