Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₂³

Direct product G=NxQ with N=C₃xC₁₈ and Q=C₂³

		d	ρ	Label	ID
C₂²xC₆xC₁₈		432		C2^2xC6xC18	432,562

Semidirect products G=N:Q with N=C₃xC₁₈ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₁₈):C₂³ = C₂²xS₃xD₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	(C3xC18):C2^3	432,544
(C₃xC₁₈):₂C₂³ = S₃xC₂²xC₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	(C3xC18):2C2^3	432,557
(C₃xC₁₈):₃C₂³ = D₉xC₂²xC₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	(C3xC18):3C2^3	432,556
(C₃xC₁₈):₄C₂³ = C₂³xC₉:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216	(C3xC18):4C2^3	432,560

Non-split extensions G=N.Q with N=C₃xC₁₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈).₁C₂³ = D₉xDic₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144	4-	(C3xC18).1C2^3	432,280
(C₃xC₁₈).₂C₂³ = D₁₈.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).2C2^3	432,281
(C₃xC₁₈).₃C₂³ = Dic₆:₅D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4+	(C3xC18).3C2^3	432,282
(C₃xC₁₈).₄C₂³ = Dic₁₈:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).4C2^3	432,283
(C₃xC₁₈).₅C₂³ = S₃xDic₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144	4-	(C3xC18).5C2^3	432,284
(C₃xC₁₈).₆C₂³ = D₁₂:₅D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144	4-	(C3xC18).6C2^3	432,285
(C₃xC₁₈).₇C₂³ = D₁₂:D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).7C2^3	432,286
(C₃xC₁₈).₈C₂³ = D₆.D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).8C2^3	432,287
(C₃xC₁₈).₉C₂³ = D₃₆:₅S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144	4-	(C3xC18).9C2^3	432,288
(C₃xC₁₈).₁₀C₂³ = Dic₉.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4+	(C3xC18).10C2^3	432,289
(C₃xC₁₈).₁₁C₂³ = C₄xS₃xD₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).11C2^3	432,290
(C₃xC₁₈).₁₂C₂³ = S₃xD₃₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4+	(C3xC18).12C2^3	432,291
(C₃xC₁₈).₁₃C₂³ = D₉xD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4+	(C3xC18).13C2^3	432,292
(C₃xC₁₈).₁₄C₂³ = C₃₆:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).14C2^3	432,293
(C₃xC₁₈).₁₅C₂³ = C₂xC₉:Dic₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144		(C3xC18).15C2^3	432,303
(C₃xC₁₈).₁₆C₂³ = C₂xDic₃xD₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144		(C3xC18).16C2^3	432,304
(C₃xC₁₈).₁₇C₂³ = D₁₈.₃D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).17C2^3	432,305
(C₃xC₁₈).₁₈C₂³ = C₂xC₁₈.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72		(C3xC18).18C2^3	432,306
(C₃xC₁₈).₁₉C₂³ = C₂xC₃:D₃₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72		(C3xC18).19C2^3	432,307
(C₃xC₁₈).₂₀C₂³ = C₂xS₃xDic₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144		(C3xC18).20C2^3	432,308
(C₃xC₁₈).₂₁C₂³ = Dic₃.D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).21C2^3	432,309
(C₃xC₁₈).₂₂C₂³ = D₁₈.₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4-	(C3xC18).22C2^3	432,310
(C₃xC₁₈).₂₃C₂³ = C₂xD₆:D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	144		(C3xC18).23C2^3	432,311
(C₃xC₁₈).₂₄C₂³ = C₂xC₉:D₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72		(C3xC18).24C2^3	432,312
(C₃xC₁₈).₂₅C₂³ = S₃xC₉:D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).25C2^3	432,313
(C₃xC₁₈).₂₆C₂³ = D₉xC₃:D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	72	4	(C3xC18).26C2^3	432,314
(C₃xC₁₈).₂₇C₂³ = D₁₈:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃xC₁₈	36	4+	(C3xC18).27C2^3	432,315
(C₃xC₁₈).₂₈C₂³ = C₁₈xDic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).28C2^3	432,341
(C₃xC₁₈).₂₉C₂³ = S₃xC₂xC₃₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).29C2^3	432,345
(C₃xC₁₈).₃₀C₂³ = C₁₈xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).30C2^3	432,346
(C₃xC₁₈).₃₁C₂³ = C₉xC₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	2	(C3xC18).31C2^3	432,347
(C₃xC₁₈).₃₂C₂³ = S₃xD₄xC₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	4	(C3xC18).32C2^3	432,358
(C₃xC₁₈).₃₃C₂³ = C₉xD₄:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	4	(C3xC18).33C2^3	432,359
(C₃xC₁₈).₃₄C₂³ = S₃xQ₈xC₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	4	(C3xC18).34C2^3	432,366
(C₃xC₁₈).₃₅C₂³ = C₉xQ₈:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	4	(C3xC18).35C2^3	432,367
(C₃xC₁₈).₃₆C₂³ = Dic₃xC₂xC₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).36C2^3	432,373
(C₃xC₁₈).₃₇C₂³ = C₁₈xC₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72		(C3xC18).37C2^3	432,375
(C₃xC₁₈).₃₈C₂³ = C₆xDic₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).38C2^3	432,340
(C₃xC₁₈).₃₉C₂³ = D₉xC₂xC₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).39C2^3	432,342
(C₃xC₁₈).₄₀C₂³ = C₆xD₃₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).40C2^3	432,343
(C₃xC₁₈).₄₁C₂³ = C₃xD₃₆:₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	2	(C3xC18).41C2^3	432,344
(C₃xC₁₈).₄₂C₂³ = C₃xD₄xD₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	4	(C3xC18).42C2^3	432,356
(C₃xC₁₈).₄₃C₂³ = C₃xD₄:₂D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72	4	(C3xC18).43C2^3	432,357
(C₃xC₁₈).₄₄C₂³ = C₃xQ₈xD₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	4	(C3xC18).44C2^3	432,364
(C₃xC₁₈).₄₅C₂³ = C₃xQ₈:₃D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144	4	(C3xC18).45C2^3	432,365
(C₃xC₁₈).₄₆C₂³ = C₂xC₆xDic₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	144		(C3xC18).46C2^3	432,372
(C₃xC₁₈).₄₇C₂³ = C₆xC₉:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	72		(C3xC18).47C2^3	432,374
(C₃xC₁₈).₄₈C₂³ = C₂xC₁₂.D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	432		(C3xC18).48C2^3	432,380
(C₃xC₁₈).₄₉C₂³ = C₂xC₄xC₉:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).49C2^3	432,381
(C₃xC₁₈).₅₀C₂³ = C₂xC₃₆:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).50C2^3	432,382
(C₃xC₁₈).₅₁C₂³ = C₃₆.₇₀D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).51C2^3	432,383
(C₃xC₁₈).₅₂C₂³ = D₄xC₉:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	108		(C3xC18).52C2^3	432,388
(C₃xC₁₈).₅₃C₂³ = C₃₆.₂₇D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).53C2^3	432,389
(C₃xC₁₈).₅₄C₂³ = Q₈xC₉:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).54C2^3	432,392
(C₃xC₁₈).₅₅C₂³ = C₃₆.₂₉D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).55C2^3	432,393
(C₃xC₁₈).₅₆C₂³ = C₂²xC₉:Dic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	432		(C3xC18).56C2^3	432,396
(C₃xC₁₈).₅₇C₂³ = C₂xC₆.D₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃xC₁₈	216		(C3xC18).57C2^3	432,397
(C₃xC₁₈).₅₈C₂³ = D₄xC₃xC₁₈	central extension (φ=1)	216		(C3xC18).58C2^3	432,403
(C₃xC₁₈).₅₉C₂³ = Q₈xC₃xC₁₈	central extension (φ=1)	432		(C3xC18).59C2^3	432,406
(C₃xC₁₈).₆₀C₂³ = C₄oD₄xC₃xC₉	central extension (φ=1)	216		(C3xC18).60C2^3	432,409

Extensions 1→N→G→Q→1 with N=C3xC18 and Q=C23

Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₂³