Extensions 1→N→G→Q→1 with N=C₃×D₇ and Q=C₃²

Direct product G=N×Q with N=C₃×D₇ and Q=C₃²

		d	ρ	Label	ID
D₇×C₃³		189		D7xC3^3	378,53

Semidirect products G=N:Q with N=C₃×D₇ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₇)⋊C₃² = C₃²×F₇	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63		(C3xD7):C3^2	378,47

Non-split extensions G=N.Q with N=C₃×D₇ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₇).₁C₃² = C₉×F₇	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63	6	(C3xD7).1C3^2	378,7
(C₃×D₇).₂C₃² = C₉⋊₃F₇	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63	6	(C3xD7).2C3^2	378,8
(C₃×D₇).₃C₃² = C₉⋊₄F₇	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63	6	(C3xD7).3C3^2	378,9
(C₃×D₇).₄C₃² = C₃×C₇⋊C₁₈	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	189		(C3xD7).4C3^2	378,10
(C₃×D₇).₅C₃² = C₃².F₇	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63	6	(C3xD7).5C3^2	378,11
(C₃×D₇).₆C₃² = D₇⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₇	63	6	(C3xD7).6C3^2	378,12
(C₃×D₇).₇C₃² = D₇×C₃×C₉	φ: trivial image	189		(C3xD7).7C3^2	378,29
(C₃×D₇).₈C₃² = D₇×He₃	φ: trivial image	63	6	(C3xD7).8C3^2	378,30
(C₃×D₇).₉C₃² = D₇×3_-¹⁺²	φ: trivial image	63	6	(C3xD7).9C3^2	378,31

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