Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₂³

Direct product G=NxQ with N=C₂xHe₃ and Q=C₂³

		d	ρ	Label	ID
C₂⁴xHe₃		144		C2^4xHe3	432,563

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₂³

extension	φ:Q→Out N	d	Label	ID
(C₂xHe₃):C₂³ = C₂²xC₃²:D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	(C2xHe3):C2^3	432,545
(C₂xHe₃):₂C₂³ = C₂³xC₃²:C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	(C2xHe3):2C2^3	432,558
(C₂xHe₃):₃C₂³ = C₂³xHe₃:C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	(C2xHe3):3C2^3	432,561

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).₁C₂³ = C₃:S₃:Dic₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	12-	(C2xHe3).1C2^3	432,294
(C₂xHe₃).₂C₂³ = C₁₂:S₃:S₃	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	12+	(C2xHe3).2C2^3	432,295
(C₂xHe₃).₃C₂³ = C₁₂.₈₄S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).3C2^3	432,296
(C₂xHe₃).₄C₂³ = C₁₂.₉₁S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).4C2^3	432,297
(C₂xHe₃).₅C₂³ = C₁₂.₈₅S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	6-	(C2xHe3).5C2^3	432,298
(C₂xHe₃).₆C₂³ = C₁₂.S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	12-	(C2xHe3).6C2^3	432,299
(C₂xHe₃).₇C₂³ = C₄xC₃²:D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	6	(C2xHe3).7C2^3	432,300
(C₂xHe₃).₈C₂³ = C₃:S₃:D₁₂	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	12+	(C2xHe3).8C2^3	432,301
(C₂xHe₃).₉C₂³ = C₁₂.₈₆S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	6+	(C2xHe3).9C2^3	432,302
(C₂xHe₃).₁₀C₂³ = C₂xHe₃:₂Q₈	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	144		(C2xHe3).10C2^3	432,316
(C₂xHe₃).₁₁C₂³ = C₂xC₆.S₃²	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).11C2^3	432,317
(C₂xHe₃).₁₂C₂³ = C₆².₈D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	12-	(C2xHe3).12C2^3	432,318
(C₂xHe₃).₁₃C₂³ = C₆².₉D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).13C2^3	432,319
(C₂xHe₃).₁₄C₂³ = C₂xHe₃:₂D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).14C2^3	432,320
(C₂xHe₃).₁₅C₂³ = C₂xHe₃:(C₂xC₄)	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).15C2^3	432,321
(C₂xHe₃).₁₆C₂³ = C₂xHe₃:₃D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).16C2^3	432,322
(C₂xHe₃).₁₇C₂³ = C₆²:D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	12+	(C2xHe3).17C2^3	432,323
(C₂xHe₃).₁₈C₂³ = C₆²:₂D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₂xHe₃	36	6	(C2xHe3).18C2^3	432,324
(C₂xHe₃).₁₉C₂³ = C₂xHe₃:₃Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).19C2^3	432,348
(C₂xHe₃).₂₀C₂³ = C₂xC₄xC₃²:C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).20C2^3	432,349
(C₂xHe₃).₂₁C₂³ = C₂xHe₃:₄D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).21C2^3	432,350
(C₂xHe₃).₂₂C₂³ = C₆².₃₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).22C2^3	432,351
(C₂xHe₃).₂₃C₂³ = D₄xC₃²:C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	36	12+	(C2xHe3).23C2^3	432,360
(C₂xHe₃).₂₄C₂³ = C₆².₁₃D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	12-	(C2xHe3).24C2^3	432,361
(C₂xHe₃).₂₅C₂³ = Q₈xC₃²:C₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	12-	(C2xHe3).25C2^3	432,368
(C₂xHe₃).₂₆C₂³ = (Q₈xHe₃):C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	12+	(C2xHe3).26C2^3	432,369
(C₂xHe₃).₂₇C₂³ = C₂²xC₃²:C₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).27C2^3	432,376
(C₂xHe₃).₂₈C₂³ = C₂xHe₃:₆D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).28C2^3	432,377
(C₂xHe₃).₂₉C₂³ = C₂xHe₃:₄Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).29C2^3	432,384
(C₂xHe₃).₃₀C₂³ = C₂xC₄xHe₃:C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).30C2^3	432,385
(C₂xHe₃).₃₁C₂³ = C₂xHe₃:₅D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).31C2^3	432,386
(C₂xHe₃).₃₂C₂³ = C₆².₄₇D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).32C2^3	432,387
(C₂xHe₃).₃₃C₂³ = D₄xHe₃:C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).33C2^3	432,390
(C₂xHe₃).₃₄C₂³ = C₆².₁₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).34C2^3	432,391
(C₂xHe₃).₃₅C₂³ = Q₈xHe₃:C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).35C2^3	432,394
(C₂xHe₃).₃₆C₂³ = He₃:₅D₄:C₂	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).36C2^3	432,395
(C₂xHe₃).₃₇C₂³ = C₂²xHe₃:₃C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).37C2^3	432,398
(C₂xHe₃).₃₈C₂³ = C₂xHe₃:₇D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).38C2^3	432,399
(C₂xHe₃).₃₉C₂³ = C₂²xC₄xHe₃	φ: trivial image	144		(C2xHe3).39C2^3	432,401
(C₂xHe₃).₄₀C₂³ = C₂xD₄xHe₃	φ: trivial image	72		(C2xHe3).40C2^3	432,404
(C₂xHe₃).₄₁C₂³ = C₂xQ₈xHe₃	φ: trivial image	144		(C2xHe3).41C2^3	432,407
(C₂xHe₃).₄₂C₂³ = C₄oD₄xHe₃	φ: trivial image	72	6	(C2xHe3).42C2^3	432,410

Extensions 1→N→G→Q→1 with N=C2xHe3 and Q=C23

Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₂³