Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₃²

Direct product G=NxQ with N=C₂xHe₃ and Q=C₃²

		d	ρ	Label	ID
C₃xC₆xHe₃		162		C3xC6xHe3	486,251

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃):₁C₃² = C₆xC₃wrC₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54		(C2xHe3):1C3^2	486,210
(C₂xHe₃):₂C₃² = C₆xHe₃:C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	162		(C2xHe3):2C3^2	486,212
(C₂xHe₃):₃C₃² = C₂xHe₃:C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54	9	(C2xHe3):3C3^2	486,217
(C₂xHe₃):₄C₃² = C₂x3₊¹⁺⁴	φ: trivial image	54	9	(C2xHe3):4C3^2	486,254

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).₁C₃² = C₆xHe₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	162		(C2xHe3).1C3^2	486,211
(C₂xHe₃).₂C₃² = C₂xC₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54	3	(C2xHe3).2C3^2	486,214
(C₂xHe₃).₃C₃² = C₂xC₃³:C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54	9	(C2xHe3).3C3^2	486,215
(C₂xHe₃).₄C₃² = C₂xHe₃.C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54	9	(C2xHe3).4C3^2	486,216
(C₂xHe₃).₅C₃² = C₂xC₉.₂He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂xHe₃	54	9	(C2xHe3).5C3^2	486,219
(C₂xHe₃).₆C₃² = C₆xC₉oHe₃	φ: trivial image	162		(C2xHe3).6C3^2	486,253
(C₂xHe₃).₇C₃² = C₂x3_-¹⁺⁴	φ: trivial image	54	9	(C2xHe3).7C3^2	486,255

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