Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=S₃²

Direct product G=NxQ with N=C₂xC₆ and Q=S₃²

		d	ρ	Label	ID
S₃²xC₂xC₆		48		S3^2xC2xC6	432,767

Semidirect products G=N:Q with N=C₂xC₆ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁S₃² = C₃:S₃xS₄	φ: S₃²/C₃ → D₆ ⊆ Aut C₂xC₆	36		(C2xC6):1S3^2	432,746
(C₂xC₆):₂S₃² = C₆²:₁₀D₆	φ: S₃²/C₃ → D₆ ⊆ Aut C₂xC₆	24	12+	(C2xC6):2S3^2	432,748
(C₂xC₆):₃S₃² = C₃xS₃xS₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂xC₆	24	6	(C2xC6):3S3^2	432,745
(C₂xC₆):₄S₃² = S₃xC₃:S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂xC₆	24	12+	(C2xC6):4S3^2	432,747
(C₂xC₆):₅S₃² = C₃:S₃xC₃:D₄	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72		(C2xC6):5S3^2	432,685
(C₂xC₆):₆S₃² = C₆²:₂₃D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	36		(C2xC6):6S3^2	432,686
(C₂xC₆):₇S₃² = C₆²:₂₄D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6):7S3^2	432,696
(C₂xC₆):₈S₃² = C₃xS₃xC₃:D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6):8S3^2	432,658
(C₂xC₆):₉S₃² = S₃xC₃²:₇D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6):9S3^2	432,684
(C₂xC₆):₁₀S₃² = C₂²xS₃xC₃:S₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6):10S3^2	432,768
(C₂xC₆):₁₁S₃² = C₃xDic₃:D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6):11S3^2	432,659
(C₂xC₆):₁₂S₃² = C₂²xC₃²:₄D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):12S3^2	432,769

Non-split extensions G=N.Q with N=C₂xC₆ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁S₃² = D₉xS₄	φ: S₃²/C₃ → D₆ ⊆ Aut C₂xC₆	36	6+	(C2xC6).1S3^2	432,521
(C₂xC₆).₂S₃² = C₆²:₅D₆	φ: S₃²/C₃ → D₆ ⊆ Aut C₂xC₆	18	6+	(C2xC6).2S3^2	432,523
(C₂xC₆).₃S₃² = S₃xC₃.S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂xC₆	36	12+	(C2xC6).3S3^2	432,522
(C₂xC₆).₄S₃² = Dic₃.D₁₈	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72	4	(C2xC6).4S3^2	432,309
(C₂xC₆).₅S₃² = D₁₈.₄D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72	4-	(C2xC6).5S3^2	432,310
(C₂xC₆).₆S₃² = D₉xC₃:D₄	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72	4	(C2xC6).6S3^2	432,314
(C₂xC₆).₇S₃² = D₁₈:D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	36	4+	(C2xC6).7S3^2	432,315
(C₂xC₆).₈S₃² = C₆².₈D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72	12-	(C2xC6).8S3^2	432,318
(C₂xC₆).₉S₃² = C₆²:D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	36	12+	(C2xC6).9S3^2	432,323
(C₂xC₆).₁₀S₃² = C₆².₉₀D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72		(C2xC6).10S3^2	432,675
(C₂xC₆).₁₁S₃² = C₆².₉₁D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	72		(C2xC6).11S3^2	432,676
(C₂xC₆).₁₂S₃² = C₆².₉₆D₆	φ: S₃²/C₃² → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).12S3^2	432,693
(C₂xC₆).₁₃S₃² = C₃xD₆.₃D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).13S3^2	432,652
(C₂xC₆).₁₄S₃² = Dic₃xDic₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).14S3^2	432,87
(C₂xC₆).₁₅S₃² = Dic₉:Dic₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).15S3^2	432,88
(C₂xC₆).₁₆S₃² = C₁₈.Dic₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).16S3^2	432,89
(C₂xC₆).₁₇S₃² = Dic₃:Dic₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).17S3^2	432,90
(C₂xC₆).₁₈S₃² = D₁₈:Dic₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).18S3^2	432,91
(C₂xC₆).₁₉S₃² = C₆.₁₈D₃₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).19S3^2	432,92
(C₂xC₆).₂₀S₃² = D₆:Dic₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).20S3^2	432,93
(C₂xC₆).₂₁S₃² = C₂xC₉:Dic₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).21S3^2	432,303
(C₂xC₆).₂₂S₃² = C₂xDic₃xD₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).22S3^2	432,304
(C₂xC₆).₂₃S₃² = D₁₈.₃D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).23S3^2	432,305
(C₂xC₆).₂₄S₃² = C₂xC₁₈.D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).24S3^2	432,306
(C₂xC₆).₂₅S₃² = C₂xC₃:D₃₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).25S3^2	432,307
(C₂xC₆).₂₆S₃² = C₂xS₃xDic₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).26S3^2	432,308
(C₂xC₆).₂₇S₃² = C₂xD₆:D₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).27S3^2	432,311
(C₂xC₆).₂₈S₃² = C₂xC₉:D₁₂	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).28S3^2	432,312
(C₂xC₆).₂₉S₃² = S₃xC₉:D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).29S3^2	432,313
(C₂xC₆).₃₀S₃² = Dic₃xC₃:Dic₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).30S3^2	432,448
(C₂xC₆).₃₁S₃² = C₆².₇₇D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).31S3^2	432,449
(C₂xC₆).₃₂S₃² = C₆².₇₈D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).32S3^2	432,450
(C₂xC₆).₃₃S₃² = C₆².₇₉D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).33S3^2	432,451
(C₂xC₆).₃₄S₃² = C₆².₈₀D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).34S3^2	432,452
(C₂xC₆).₃₅S₃² = C₆².₈₁D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).35S3^2	432,453
(C₂xC₆).₃₆S₃² = C₆².₈₂D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).36S3^2	432,454
(C₂xC₆).₃₇S₃² = C₂²xS₃xD₉	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).37S3^2	432,544
(C₂xC₆).₃₈S₃² = C₂xS₃xC₃:Dic₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).38S3^2	432,674
(C₂xC₆).₃₉S₃² = C₂xDic₃xC₃:S₃	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).39S3^2	432,677
(C₂xC₆).₄₀S₃² = C₆².₉₃D₆	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).40S3^2	432,678
(C₂xC₆).₄₁S₃² = C₂xC₃³:₈(C₂xC₄)	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).41S3^2	432,679
(C₂xC₆).₄₂S₃² = C₂xC₃³:₆D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).42S3^2	432,680
(C₂xC₆).₄₃S₃² = C₂xC₃³:₇D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).43S3^2	432,681
(C₂xC₆).₄₄S₃² = C₂xC₃³:₈D₄	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).44S3^2	432,682
(C₂xC₆).₄₅S₃² = C₂xC₃³:₄Q₈	φ: S₃²/C₃xS₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).45S3^2	432,683
(C₂xC₆).₄₆S₃² = C₃xD₆.₄D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).46S3^2	432,653
(C₂xC₆).₄₇S₃² = He₃:C₄²	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).47S3^2	432,94
(C₂xC₆).₄₈S₃² = C₆².D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).48S3^2	432,95
(C₂xC₆).₄₉S₃² = C₆².₃D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).49S3^2	432,96
(C₂xC₆).₅₀S₃² = C₆².₄D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).50S3^2	432,97
(C₂xC₆).₅₁S₃² = C₆².₅D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).51S3^2	432,98
(C₂xC₆).₅₂S₃² = C₂xHe₃:₂Q₈	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).52S3^2	432,316
(C₂xC₆).₅₃S₃² = C₂xC₆.S₃²	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).53S3^2	432,317
(C₂xC₆).₅₄S₃² = C₆².₉D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72	6	(C2xC6).54S3^2	432,319
(C₂xC₆).₅₅S₃² = C₂xHe₃:₂D₄	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).55S3^2	432,320
(C₂xC₆).₅₆S₃² = C₂xHe₃:(C₂xC₄)	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).56S3^2	432,321
(C₂xC₆).₅₇S₃² = C₂xHe₃:₃D₄	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).57S3^2	432,322
(C₂xC₆).₅₈S₃² = C₆²:₂D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	36	6	(C2xC6).58S3^2	432,324
(C₂xC₆).₅₉S₃² = C₃³:₆C₄²	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).59S3^2	432,460
(C₂xC₆).₆₀S₃² = C₆².₈₄D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).60S3^2	432,461
(C₂xC₆).₆₁S₃² = C₆².₈₅D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).61S3^2	432,462
(C₂xC₆).₆₂S₃² = C₂²xC₃²:D₆	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	36		(C2xC6).62S3^2	432,545
(C₂xC₆).₆₃S₃² = C₂xC₃³:₉(C₂xC₄)	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).63S3^2	432,692
(C₂xC₆).₆₄S₃² = C₂xC₃³:₉D₄	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).64S3^2	432,694
(C₂xC₆).₆₅S₃² = C₂xC₃³:₅Q₈	φ: S₃²/C₃:S₃ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).65S3^2	432,695
(C₂xC₆).₆₆S₃² = C₃xDic₃²	central extension (φ=1)	48		(C2xC6).66S3^2	432,425
(C₂xC₆).₆₇S₃² = C₃xD₆:Dic₃	central extension (φ=1)	48		(C2xC6).67S3^2	432,426
(C₂xC₆).₆₈S₃² = C₃xC₆.D₁₂	central extension (φ=1)	48		(C2xC6).68S3^2	432,427
(C₂xC₆).₆₉S₃² = C₃xDic₃:Dic₃	central extension (φ=1)	48		(C2xC6).69S3^2	432,428
(C₂xC₆).₇₀S₃² = C₃xC₆².C₂²	central extension (φ=1)	48		(C2xC6).70S3^2	432,429
(C₂xC₆).₇₁S₃² = S₃xC₆xDic₃	central extension (φ=1)	48		(C2xC6).71S3^2	432,651
(C₂xC₆).₇₂S₃² = C₆xC₆.D₆	central extension (φ=1)	48		(C2xC6).72S3^2	432,654
(C₂xC₆).₇₃S₃² = C₆xD₆:S₃	central extension (φ=1)	48		(C2xC6).73S3^2	432,655
(C₂xC₆).₇₄S₃² = C₆xC₃:D₁₂	central extension (φ=1)	48		(C2xC6).74S3^2	432,656
(C₂xC₆).₇₅S₃² = C₆xC₃²:₂Q₈	central extension (φ=1)	48		(C2xC6).75S3^2	432,657

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=S32

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=S₃²