Extensions 1→N→G→Q→1 with N=C₃xC₃₆ and Q=C₂²

Direct product G=NxQ with N=C₃xC₃₆ and Q=C₂²

		d	ρ	Label	ID
C₂xC₆xC₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₃xC₃₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₃₆):₁C₂² = S₃xD₃₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36):1C2^2	432,291
(C₃xC₃₆):₂C₂² = D₉xD₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36):2C2^2	432,292
(C₃xC₃₆):₃C₂² = C₃₆:D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36):3C2^2	432,293
(C₃xC₃₆):₄C₂² = C₃xD₄xD₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36):4C2^2	432,356
(C₃xC₃₆):₅C₂² = D₄xC₉:S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	108		(C3xC36):5C2^2	432,388
(C₃xC₃₆):₆C₂² = C₄xS₃xD₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36):6C2^2	432,290
(C₃xC₃₆):₇C₂² = S₃xD₄xC₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36):7C2^2	432,358
(C₃xC₃₆):₈C₂² = S₃xC₂xC₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36):8C2^2	432,345
(C₃xC₃₆):₉C₂² = C₆xD₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36):9C2^2	432,343
(C₃xC₃₆):₁₀C₂² = C₂xC₃₆:S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36):10C2^2	432,382
(C₃xC₃₆):₁₁C₂² = D₉xC₂xC₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36):11C2^2	432,342
(C₃xC₃₆):₁₂C₂² = C₂xC₄xC₉:S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36):12C2^2	432,381
(C₃xC₃₆):₁₃C₂² = C₁₈xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36):13C2^2	432,346
(C₃xC₃₆):₁₄C₂² = D₄xC₃xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36):14C2^2	432,403

Non-split extensions G=N.Q with N=C₃xC₃₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₃₆).₁C₂² = D₃₆.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).1C2^2	432,62
(C₃xC₃₆).₂C₂² = C₆.D₃₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).2C2^2	432,63
(C₃xC₃₆).₃C₂² = C₃:D₇₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).3C2^2	432,64
(C₃xC₃₆).₄C₂² = C₃:Dic₃₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).4C2^2	432,65
(C₃xC₃₆).₅C₂² = S₃xDic₁₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).5C2^2	432,284
(C₃xC₃₆).₆C₂² = D₃₆:₅S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).6C2^2	432,288
(C₃xC₃₆).₇C₂² = Dic₉.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).7C2^2	432,289
(C₃xC₃₆).₈C₂² = D₃₆:S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).8C2^2	432,68
(C₃xC₃₆).₉C₂² = C₉:D₂₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).9C2^2	432,69
(C₃xC₃₆).₁₀C₂² = D₁₂.D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).10C2^2	432,70
(C₃xC₃₆).₁₁C₂² = C₃₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).11C2^2	432,71
(C₃xC₃₆).₁₂C₂² = Dic₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).12C2^2	432,72
(C₃xC₃₆).₁₃C₂² = C₁₈.D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).13C2^2	432,73
(C₃xC₃₆).₁₄C₂² = C₁₂.D₁₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).14C2^2	432,74
(C₃xC₃₆).₁₅C₂² = C₉:Dic₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).15C2^2	432,75
(C₃xC₃₆).₁₆C₂² = C₃xD₄.D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).16C2^2	432,148
(C₃xC₃₆).₁₇C₂² = C₃xD₄:D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).17C2^2	432,149
(C₃xC₃₆).₁₈C₂² = C₃xC₉:Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).18C2^2	432,156
(C₃xC₃₆).₁₉C₂² = C₃xQ₈:₂D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).19C2^2	432,157
(C₃xC₃₆).₂₀C₂² = C₃₆.₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).20C2^2	432,190
(C₃xC₃₆).₂₁C₂² = C₃₆.₁₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).21C2^2	432,191
(C₃xC₃₆).₂₂C₂² = C₃₆.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	432		(C3xC36).22C2^2	432,194
(C₃xC₃₆).₂₃C₂² = C₃₆.₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).23C2^2	432,195
(C₃xC₃₆).₂₄C₂² = D₉xDic₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).24C2^2	432,280
(C₃xC₃₆).₂₅C₂² = D₁₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).25C2^2	432,281
(C₃xC₃₆).₂₆C₂² = Dic₆:₅D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4+	(C3xC36).26C2^2	432,282
(C₃xC₃₆).₂₇C₂² = Dic₁₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).27C2^2	432,283
(C₃xC₃₆).₂₈C₂² = D₁₂:₅D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4-	(C3xC36).28C2^2	432,285
(C₃xC₃₆).₂₉C₂² = D₁₂:D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).29C2^2	432,286
(C₃xC₃₆).₃₀C₂² = C₃xD₄:₂D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).30C2^2	432,357
(C₃xC₃₆).₃₁C₂² = C₃xQ₈xD₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).31C2^2	432,364
(C₃xC₃₆).₃₂C₂² = C₃xQ₈:₃D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).32C2^2	432,365
(C₃xC₃₆).₃₃C₂² = C₃₆.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).33C2^2	432,389
(C₃xC₃₆).₃₄C₂² = Q₈xC₉:S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).34C2^2	432,392
(C₃xC₃₆).₃₅C₂² = C₃₆.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	216		(C3xC36).35C2^2	432,393
(C₃xC₃₆).₃₆C₂² = D₉xC₃:C₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).36C2^2	432,58
(C₃xC₃₆).₃₇C₂² = C₃₆.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).37C2^2	432,59
(C₃xC₃₆).₃₈C₂² = C₃₆.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).38C2^2	432,60
(C₃xC₃₆).₃₉C₂² = C₃₆.₄₀D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).39C2^2	432,61
(C₃xC₃₆).₄₀C₂² = S₃xC₉:C₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).40C2^2	432,66
(C₃xC₃₆).₄₁C₂² = D₆.Dic₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).41C2^2	432,67
(C₃xC₃₆).₄₂C₂² = D₆.D₁₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).42C2^2	432,287
(C₃xC₃₆).₄₃C₂² = C₉xD₄:S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).43C2^2	432,150
(C₃xC₃₆).₄₄C₂² = C₉xD₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).44C2^2	432,151
(C₃xC₃₆).₄₅C₂² = C₉xQ₈:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).45C2^2	432,158
(C₃xC₃₆).₄₆C₂² = C₉xC₃:Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).46C2^2	432,159
(C₃xC₃₆).₄₇C₂² = C₉xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	72	4	(C3xC36).47C2^2	432,359
(C₃xC₃₆).₄₈C₂² = S₃xQ₈xC₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).48C2^2	432,366
(C₃xC₃₆).₄₉C₂² = C₉xQ₈:₃S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃xC₃₆	144	4	(C3xC36).49C2^2	432,367
(C₃xC₃₆).₅₀C₂² = S₃xC₇₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).50C2^2	432,109
(C₃xC₃₆).₅₁C₂² = C₉xC₈:S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).51C2^2	432,110
(C₃xC₃₆).₅₂C₂² = C₁₈xC₃:C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36).52C2^2	432,126
(C₃xC₃₆).₅₃C₂² = C₉xC₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	72	2	(C3xC36).53C2^2	432,127
(C₃xC₃₆).₅₄C₂² = C₉xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	72	2	(C3xC36).54C2^2	432,347
(C₃xC₃₆).₅₅C₂² = C₃xDic₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).55C2^2	432,104
(C₃xC₃₆).₅₆C₂² = C₃xC₇₂:C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).56C2^2	432,107
(C₃xC₃₆).₅₇C₂² = C₃xD₇₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).57C2^2	432,108
(C₃xC₃₆).₅₈C₂² = C₂₄.D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	432		(C3xC36).58C2^2	432,168
(C₃xC₃₆).₅₉C₂² = C₂₄:D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).59C2^2	432,171
(C₃xC₃₆).₆₀C₂² = C₇₂:₁S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).60C2^2	432,172
(C₃xC₃₆).₆₁C₂² = C₆xDic₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36).61C2^2	432,340
(C₃xC₃₆).₆₂C₂² = C₃xD₃₆:₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	72	2	(C3xC36).62C2^2	432,344
(C₃xC₃₆).₆₃C₂² = C₂xC₁₂.D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	432		(C3xC36).63C2^2	432,380
(C₃xC₃₆).₆₄C₂² = C₃₆.₇₀D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).64C2^2	432,383
(C₃xC₃₆).₆₅C₂² = D₉xC₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).65C2^2	432,105
(C₃xC₃₆).₆₆C₂² = C₃xC₈:D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).66C2^2	432,106
(C₃xC₃₆).₆₇C₂² = C₆xC₉:C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36).67C2^2	432,124
(C₃xC₃₆).₆₈C₂² = C₃xC₄.Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	72	2	(C3xC36).68C2^2	432,125
(C₃xC₃₆).₆₉C₂² = C₈xC₉:S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).69C2^2	432,169
(C₃xC₃₆).₇₀C₂² = C₇₂:S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).70C2^2	432,170
(C₃xC₃₆).₇₁C₂² = C₂xC₃₆.S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	432		(C3xC36).71C2^2	432,178
(C₃xC₃₆).₇₂C₂² = C₃₆.₆₉D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).72C2^2	432,179
(C₃xC₃₆).₇₃C₂² = C₉xC₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).73C2^2	432,111
(C₃xC₃₆).₇₄C₂² = C₉xD₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).74C2^2	432,112
(C₃xC₃₆).₇₅C₂² = C₉xDic₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144	2	(C3xC36).75C2^2	432,113
(C₃xC₃₆).₇₆C₂² = D₈xC₃xC₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).76C2^2	432,215
(C₃xC₃₆).₇₇C₂² = SD₁₆xC₃xC₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).77C2^2	432,218
(C₃xC₃₆).₇₈C₂² = Q₁₆xC₃xC₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	432		(C3xC36).78C2^2	432,221
(C₃xC₃₆).₇₉C₂² = C₁₈xDic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	144		(C3xC36).79C2^2	432,341
(C₃xC₃₆).₈₀C₂² = Q₈xC₃xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	432		(C3xC36).80C2^2	432,406
(C₃xC₃₆).₈₁C₂² = C₄oD₄xC₃xC₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃xC₃₆	216		(C3xC36).81C2^2	432,409
(C₃xC₃₆).₈₂C₂² = M₄(2)xC₃xC₉	central extension (φ=1)	216		(C3xC36).82C2^2	432,212

Extensions 1→N→G→Q→1 with N=C3xC36 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃xC₃₆ and Q=C₂²