Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₂xC₆

Direct product G=NxQ with N=C₆ and Q=S₃xC₂xC₆

		d	ρ	Label	ID
S₃xC₂xC₆²		144		S3xC2xC6^2	432,772

Semidirect products G=N:Q with N=C₆ and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(S₃xC₂xC₆) = S₃²xC₂xC₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6:1(S3xC2xC6)	432,767
C₆:₂(S₃xC₂xC₆) = C₃:S₃xC₂²xC₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6:2(S3xC2xC6)	432,773

Non-split extensions G=N.Q with N=C₆ and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃xC₂xC₆) = C₃xS₃xDic₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.1(S3xC2xC6)	432,642
C₆.₂(S₃xC₂xC₆) = C₃xD₁₂:₅S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.2(S3xC2xC6)	432,643
C₆.₃(S₃xC₂xC₆) = C₃xD₁₂:S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.3(S3xC2xC6)	432,644
C₆.₄(S₃xC₂xC₆) = C₃xDic₃.D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.4(S3xC2xC6)	432,645
C₆.₅(S₃xC₂xC₆) = C₃xD₆.D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.5(S3xC2xC6)	432,646
C₆.₆(S₃xC₂xC₆) = C₃xD₆.₆D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.6(S3xC2xC6)	432,647
C₆.₇(S₃xC₂xC₆) = S₃²xC₁₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.7(S3xC2xC6)	432,648
C₆.₈(S₃xC₂xC₆) = C₃xS₃xD₁₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.8(S3xC2xC6)	432,649
C₆.₉(S₃xC₂xC₆) = C₃xD₆:D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48	4	C6.9(S3xC2xC6)	432,650
C₆.₁₀(S₃xC₂xC₆) = S₃xC₆xDic₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6.10(S3xC2xC6)	432,651
C₆.₁₁(S₃xC₂xC₆) = C₃xD₆.₃D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	24	4	C6.11(S3xC2xC6)	432,652
C₆.₁₂(S₃xC₂xC₆) = C₃xD₆.₄D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	24	4	C6.12(S3xC2xC6)	432,653
C₆.₁₃(S₃xC₂xC₆) = C₆xC₆.D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6.13(S3xC2xC6)	432,654
C₆.₁₄(S₃xC₂xC₆) = C₆xD₆:S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6.14(S3xC2xC6)	432,655
C₆.₁₅(S₃xC₂xC₆) = C₆xC₃:D₁₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6.15(S3xC2xC6)	432,656
C₆.₁₆(S₃xC₂xC₆) = C₆xC₃²:₂Q₈	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	48		C6.16(S3xC2xC6)	432,657
C₆.₁₇(S₃xC₂xC₆) = C₃xS₃xC₃:D₄	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	24	4	C6.17(S3xC2xC6)	432,658
C₆.₁₈(S₃xC₂xC₆) = C₃xDic₃:D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₆	24	4	C6.18(S3xC2xC6)	432,659
C₆.₁₉(S₃xC₂xC₆) = C₆xDic₁₈	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.19(S3xC2xC6)	432,340
C₆.₂₀(S₃xC₂xC₆) = D₉xC₂xC₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.20(S3xC2xC6)	432,342
C₆.₂₁(S₃xC₂xC₆) = C₆xD₃₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.21(S3xC2xC6)	432,343
C₆.₂₂(S₃xC₂xC₆) = C₃xD₃₆:₅C₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	2	C6.22(S3xC2xC6)	432,344
C₆.₂₃(S₃xC₂xC₆) = C₂xHe₃:₃Q₈	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.23(S3xC2xC6)	432,348
C₆.₂₄(S₃xC₂xC₆) = C₂xC₄xC₃²:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.24(S3xC2xC6)	432,349
C₆.₂₅(S₃xC₂xC₆) = C₂xHe₃:₄D₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.25(S3xC2xC6)	432,350
C₆.₂₆(S₃xC₂xC₆) = C₆².₃₆D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	6	C6.26(S3xC2xC6)	432,351
C₆.₂₇(S₃xC₂xC₆) = C₂xC₃₆.C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.27(S3xC2xC6)	432,352
C₆.₂₈(S₃xC₂xC₆) = C₂xC₄xC₉:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.28(S3xC2xC6)	432,353
C₆.₂₉(S₃xC₂xC₆) = C₂xD₃₆:C₃	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.29(S3xC2xC6)	432,354
C₆.₃₀(S₃xC₂xC₆) = D₃₆:₆C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	6	C6.30(S3xC2xC6)	432,355
C₆.₃₁(S₃xC₂xC₆) = C₃xD₄xD₉	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	4	C6.31(S3xC2xC6)	432,356
C₆.₃₂(S₃xC₂xC₆) = C₃xD₄:₂D₉	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	4	C6.32(S3xC2xC6)	432,357
C₆.₃₃(S₃xC₂xC₆) = D₄xC₃²:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	36	12+	C6.33(S3xC2xC6)	432,360
C₆.₃₄(S₃xC₂xC₆) = C₆².₁₃D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12-	C6.34(S3xC2xC6)	432,361
C₆.₃₅(S₃xC₂xC₆) = D₄xC₉:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	36	12+	C6.35(S3xC2xC6)	432,362
C₆.₃₆(S₃xC₂xC₆) = Dic₁₈:₂C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12-	C6.36(S3xC2xC6)	432,363
C₆.₃₇(S₃xC₂xC₆) = C₃xQ₈xD₉	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144	4	C6.37(S3xC2xC6)	432,364
C₆.₃₈(S₃xC₂xC₆) = C₃xQ₈:₃D₉	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144	4	C6.38(S3xC2xC6)	432,365
C₆.₃₉(S₃xC₂xC₆) = Q₈xC₃²:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12-	C6.39(S3xC2xC6)	432,368
C₆.₄₀(S₃xC₂xC₆) = (Q₈xHe₃):C₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12+	C6.40(S3xC2xC6)	432,369
C₆.₄₁(S₃xC₂xC₆) = Q₈xC₉:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12-	C6.41(S3xC2xC6)	432,370
C₆.₄₂(S₃xC₂xC₆) = D₃₆:₃C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72	12+	C6.42(S3xC2xC6)	432,371
C₆.₄₃(S₃xC₂xC₆) = C₂xC₆xDic₉	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.43(S3xC2xC6)	432,372
C₆.₄₄(S₃xC₂xC₆) = C₆xC₉:D₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.44(S3xC2xC6)	432,374
C₆.₄₅(S₃xC₂xC₆) = C₂²xC₃²:C₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.45(S3xC2xC6)	432,376
C₆.₄₆(S₃xC₂xC₆) = C₂xHe₃:₆D₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.46(S3xC2xC6)	432,377
C₆.₄₇(S₃xC₂xC₆) = C₂²xC₉:C₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.47(S3xC2xC6)	432,378
C₆.₄₈(S₃xC₂xC₆) = C₂xDic₉:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.48(S3xC2xC6)	432,379
C₆.₄₉(S₃xC₂xC₆) = D₉xC₂²xC₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.49(S3xC2xC6)	432,556
C₆.₅₀(S₃xC₂xC₆) = C₂³xC₃²:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.50(S3xC2xC6)	432,558
C₆.₅₁(S₃xC₂xC₆) = C₂³xC₉:C₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.51(S3xC2xC6)	432,559
C₆.₅₂(S₃xC₂xC₆) = C₆xC₃²:₄Q₈	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.52(S3xC2xC6)	432,710
C₆.₅₃(S₃xC₂xC₆) = C₃:S₃xC₂xC₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.53(S3xC2xC6)	432,711
C₆.₅₄(S₃xC₂xC₆) = C₆xC₁₂:S₃	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.54(S3xC2xC6)	432,712
C₆.₅₅(S₃xC₂xC₆) = C₃xC₁₂.₅₉D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.55(S3xC2xC6)	432,713
C₆.₅₆(S₃xC₂xC₆) = C₃xD₄xC₃:S₃	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.56(S3xC2xC6)	432,714
C₆.₅₇(S₃xC₂xC₆) = C₃xC₁₂.D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.57(S3xC2xC6)	432,715
C₆.₅₈(S₃xC₂xC₆) = C₃xQ₈xC₃:S₃	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.58(S3xC2xC6)	432,716
C₆.₅₉(S₃xC₂xC₆) = C₃xC₁₂.₂₆D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.59(S3xC2xC6)	432,717
C₆.₆₀(S₃xC₂xC₆) = C₂xC₆xC₃:Dic₃	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	144		C6.60(S3xC2xC6)	432,718
C₆.₆₁(S₃xC₂xC₆) = C₆xC₃²:₇D₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₆	72		C6.61(S3xC2xC6)	432,719
C₆.₆₂(S₃xC₂xC₆) = C₁₈xDic₆	central extension (φ=1)	144		C6.62(S3xC2xC6)	432,341
C₆.₆₃(S₃xC₂xC₆) = S₃xC₂xC₃₆	central extension (φ=1)	144		C6.63(S3xC2xC6)	432,345
C₆.₆₄(S₃xC₂xC₆) = C₁₈xD₁₂	central extension (φ=1)	144		C6.64(S3xC2xC6)	432,346
C₆.₆₅(S₃xC₂xC₆) = C₉xC₄oD₁₂	central extension (φ=1)	72	2	C6.65(S3xC2xC6)	432,347
C₆.₆₆(S₃xC₂xC₆) = S₃xD₄xC₉	central extension (φ=1)	72	4	C6.66(S3xC2xC6)	432,358
C₆.₆₇(S₃xC₂xC₆) = C₉xD₄:₂S₃	central extension (φ=1)	72	4	C6.67(S3xC2xC6)	432,359
C₆.₆₈(S₃xC₂xC₆) = S₃xQ₈xC₉	central extension (φ=1)	144	4	C6.68(S3xC2xC6)	432,366
C₆.₆₉(S₃xC₂xC₆) = C₉xQ₈:₃S₃	central extension (φ=1)	144	4	C6.69(S3xC2xC6)	432,367
C₆.₇₀(S₃xC₂xC₆) = Dic₃xC₂xC₁₈	central extension (φ=1)	144		C6.70(S3xC2xC6)	432,373
C₆.₇₁(S₃xC₂xC₆) = C₁₈xC₃:D₄	central extension (φ=1)	72		C6.71(S3xC2xC6)	432,375
C₆.₇₂(S₃xC₂xC₆) = S₃xC₂²xC₁₈	central extension (φ=1)	144		C6.72(S3xC2xC6)	432,557
C₆.₇₃(S₃xC₂xC₆) = C₃xC₆xDic₆	central extension (φ=1)	144		C6.73(S3xC2xC6)	432,700
C₆.₇₄(S₃xC₂xC₆) = S₃xC₆xC₁₂	central extension (φ=1)	144		C6.74(S3xC2xC6)	432,701
C₆.₇₅(S₃xC₂xC₆) = C₃xC₆xD₁₂	central extension (φ=1)	144		C6.75(S3xC2xC6)	432,702
C₆.₇₆(S₃xC₂xC₆) = C₃²xC₄oD₁₂	central extension (φ=1)	72		C6.76(S3xC2xC6)	432,703
C₆.₇₇(S₃xC₂xC₆) = S₃xD₄xC₃²	central extension (φ=1)	72		C6.77(S3xC2xC6)	432,704
C₆.₇₈(S₃xC₂xC₆) = C₃²xD₄:₂S₃	central extension (φ=1)	72		C6.78(S3xC2xC6)	432,705
C₆.₇₉(S₃xC₂xC₆) = S₃xQ₈xC₃²	central extension (φ=1)	144		C6.79(S3xC2xC6)	432,706
C₆.₈₀(S₃xC₂xC₆) = C₃²xQ₈:₃S₃	central extension (φ=1)	144		C6.80(S3xC2xC6)	432,707
C₆.₈₁(S₃xC₂xC₆) = Dic₃xC₆²	central extension (φ=1)	144		C6.81(S3xC2xC6)	432,708
C₆.₈₂(S₃xC₂xC₆) = C₃xC₆xC₃:D₄	central extension (φ=1)	72		C6.82(S3xC2xC6)	432,709

Extensions 1→N→G→Q→1 with N=C6 and Q=S3xC2xC6

Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₂xC₆