Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₂²

Direct product G=NxQ with N=C₂xHe₃ and Q=C₂²

		d	ρ	Label	ID
C₂³xHe₃		72		C2^3xHe3	216,115

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃):C₂² = C₂xC₃²:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	18	6+	(C2xHe3):C2^2	216,102
(C₂xHe₃):₂C₂² = C₂²xC₃²:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36		(C2xHe3):2C2^2	216,110
(C₂xHe₃):₃C₂² = C₂²xHe₃:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36		(C2xHe3):3C2^2	216,113

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).₁C₂² = He₃:₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	72	6-	(C2xHe3).1C2^2	216,33
(C₂xHe₃).₂C₂² = C₆.S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	36	6	(C2xHe3).2C2^2	216,34
(C₂xHe₃).₃C₂² = He₃:₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	36	6+	(C2xHe3).3C2^2	216,35
(C₂xHe₃).₄C₂² = He₃:(C₂xC₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	36	6-	(C2xHe3).4C2^2	216,36
(C₂xHe₃).₅C₂² = He₃:₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xHe₃	36	6	(C2xHe3).5C2^2	216,37
(C₂xHe₃).₆C₂² = He₃:₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	72	6-	(C2xHe3).6C2^2	216,49
(C₂xHe₃).₇C₂² = C₄xC₃²:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).7C2^2	216,50
(C₂xHe₃).₈C₂² = He₃:₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	6+	(C2xHe3).8C2^2	216,51
(C₂xHe₃).₉C₂² = C₂xC₃²:C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).9C2^2	216,59
(C₂xHe₃).₁₀C₂² = He₃:₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).10C2^2	216,60
(C₂xHe₃).₁₁C₂² = He₃:₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).11C2^2	216,66
(C₂xHe₃).₁₂C₂² = C₄xHe₃:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	3	(C2xHe3).12C2^2	216,67
(C₂xHe₃).₁₃C₂² = He₃:₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).13C2^2	216,68
(C₂xHe₃).₁₄C₂² = C₂xHe₃:₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).14C2^2	216,71
(C₂xHe₃).₁₅C₂² = He₃:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).15C2^2	216,72
(C₂xHe₃).₁₆C₂² = C₂xC₄xHe₃	φ: trivial image	72		(C2xHe3).16C2^2	216,74
(C₂xHe₃).₁₇C₂² = D₄xHe₃	φ: trivial image	36	6	(C2xHe3).17C2^2	216,77
(C₂xHe₃).₁₈C₂² = Q₈xHe₃	φ: trivial image	72	6	(C2xHe3).18C2^2	216,80

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