Extensions 1→N→G→Q→1 with N=C₆×C₇⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₆×C₇⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₃×C₆×C₇⋊C₃		126		C3xC6xC7:C3	378,52

Semidirect products G=N:Q with N=C₆×C₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₇⋊C₃)⋊C₃ = C₂×C₇⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₇⋊C₃	126	3	(C6xC7:C3):C3	378,28

Non-split extensions G=N.Q with N=C₆×C₇⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₇⋊C₃).₁C₃ = C₂×C₆₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₇⋊C₃	126	3	(C6xC7:C3).1C3	378,24
(C₆×C₇⋊C₃).₂C₃ = C₂×C₆₃⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₇⋊C₃	126	3	(C6xC7:C3).2C3	378,25
(C₆×C₇⋊C₃).₃C₃ = C₁₈×C₇⋊C₃	φ: trivial image	126	3	(C6xC7:C3).3C3	378,23

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Extensions 1→N→G→Q→1 with N=C6×C7⋊C3 and Q=C3