Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄:₂S₃

Direct product G=NxQ with N=C₆ and Q=D₄:₂S₃

		d	ρ	Label	ID
C₆xD₄:₂S₃		48		C6xD4:2S3	288,993

Semidirect products G=N:Q with N=C₆ and Q=D₄:₂S₃

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(D₄:₂S₃) = C₂xD₁₂:S₃	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6:1(D4:2S3)	288,944
C₆:₂(D₄:₂S₃) = C₂xD₁₂:₅S₃	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6:2(D4:2S3)	288,943
C₆:₃(D₄:₂S₃) = C₂xD₆.₃D₆	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6:3(D4:2S3)	288,970
C₆:₄(D₄:₂S₃) = C₂xD₆.₄D₆	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6:4(D4:2S3)	288,971
C₆:₅(D₄:₂S₃) = C₂xC₁₂.D₆	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6:5(D4:2S3)	288,1008

Non-split extensions G=N.Q with N=C₆ and Q=D₄:₂S₃

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(D₄:₂S₃) = C₆².₁₃C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	96	C6.1(D4:2S3)	288,491
C₆.₂(D₄:₂S₃) = C₆².₁₉C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.2(D4:2S3)	288,497
C₆.₃(D₄:₂S₃) = C₆².₂₃C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.3(D4:2S3)	288,501
C₆.₄(D₄:₂S₃) = C₆².₃₃C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	96	C6.4(D4:2S3)	288,511
C₆.₅(D₄:₂S₃) = C₁₂.₃₀D₁₂	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.5(D4:2S3)	288,519
C₆.₆(D₄:₂S₃) = C₆².₄₂C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	96	C6.6(D4:2S3)	288,520
C₆.₇(D₄:₂S₃) = C₆².₅₁C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.7(D4:2S3)	288,529
C₆.₈(D₄:₂S₃) = Dic₃:D₁₂	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.8(D4:2S3)	288,534
C₆.₉(D₄:₂S₃) = D₆:₁Dic₆	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	96	C6.9(D4:2S3)	288,535
C₆.₁₀(D₄:₂S₃) = D₁₂:Dic₃	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	96	C6.10(D4:2S3)	288,546
C₆.₁₁(D₄:₂S₃) = C₆².₇₇C₂³	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.11(D4:2S3)	288,555
C₆.₁₂(D₄:₂S₃) = C₁₂:₂D₁₂	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₆	48	C6.12(D4:2S3)	288,564
C₆.₁₃(D₄:₂S₃) = C₆².₁₁C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.13(D4:2S3)	288,489
C₆.₁₄(D₄:₂S₃) = Dic₃:₆Dic₆	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.14(D4:2S3)	288,492
C₆.₁₅(D₄:₂S₃) = D₆:₇Dic₆	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.15(D4:2S3)	288,505
C₆.₁₆(D₄:₂S₃) = C₆².₂₉C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.16(D4:2S3)	288,507
C₆.₁₇(D₄:₂S₃) = C₁₂.₂₇D₁₂	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.17(D4:2S3)	288,508
C₆.₁₈(D₄:₂S₃) = C₆².₃₁C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.18(D4:2S3)	288,509
C₆.₁₉(D₄:₂S₃) = C₆².₃₉C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.19(D4:2S3)	288,517
C₆.₂₀(D₄:₂S₃) = C₆².₄₉C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.20(D4:2S3)	288,527
C₆.₂₁(D₄:₂S₃) = C₆².₅₄C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.21(D4:2S3)	288,532
C₆.₂₂(D₄:₂S₃) = C₆².₅₅C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.22(D4:2S3)	288,533
C₆.₂₃(D₄:₂S₃) = D₆.₉D₁₂	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.23(D4:2S3)	288,539
C₆.₂₄(D₄:₂S₃) = Dic₃xD₁₂	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.24(D4:2S3)	288,540
C₆.₂₅(D₄:₂S₃) = D₆:₃Dic₆	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.25(D4:2S3)	288,544
C₆.₂₆(D₄:₂S₃) = C₆².₇₅C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.26(D4:2S3)	288,553
C₆.₂₇(D₄:₂S₃) = D₆:₂D₁₂	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.27(D4:2S3)	288,556
C₆.₂₈(D₄:₂S₃) = C₆².₈₃C₂³	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.28(D4:2S3)	288,561
C₆.₂₉(D₄:₂S₃) = C₆².₆C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.29(D4:2S3)	288,484
C₆.₃₀(D₄:₂S₃) = Dic₃:₅Dic₆	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.30(D4:2S3)	288,485
C₆.₃₁(D₄:₂S₃) = C₆².₁₆C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.31(D4:2S3)	288,494
C₆.₃₂(D₄:₂S₃) = C₆².₁₇C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.32(D4:2S3)	288,495
C₆.₃₃(D₄:₂S₃) = C₆².₁₈C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.33(D4:2S3)	288,496
C₆.₃₄(D₄:₂S₃) = Dic₃.D₁₂	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.34(D4:2S3)	288,500
C₆.₃₅(D₄:₂S₃) = C₆².₂₄C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.35(D4:2S3)	288,502
C₆.₃₆(D₄:₂S₃) = C₆².₂₈C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.36(D4:2S3)	288,506
C₆.₃₇(D₄:₂S₃) = C₆².₃₇C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.37(D4:2S3)	288,515
C₆.₃₈(D₄:₂S₃) = C₆².₃₈C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.38(D4:2S3)	288,516
C₆.₃₉(D₄:₂S₃) = C₆².₄₇C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.39(D4:2S3)	288,525
C₆.₄₀(D₄:₂S₃) = Dic₃:₄D₁₂	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.40(D4:2S3)	288,528
C₆.₄₁(D₄:₂S₃) = D₆.D₁₂	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.41(D4:2S3)	288,538
C₆.₄₂(D₄:₂S₃) = C₆².₆₅C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.42(D4:2S3)	288,543
C₆.₄₃(D₄:₂S₃) = D₆:₄Dic₆	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	96	C6.43(D4:2S3)	288,547
C₆.₄₄(D₄:₂S₃) = C₆².₉₄C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.44(D4:2S3)	288,600
C₆.₄₅(D₄:₂S₃) = C₆².₉₅C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.45(D4:2S3)	288,601
C₆.₄₆(D₄:₂S₃) = C₆².₉₇C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.46(D4:2S3)	288,603
C₆.₄₇(D₄:₂S₃) = C₆².₉₈C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.47(D4:2S3)	288,604
C₆.₄₈(D₄:₂S₃) = C₆².₁₀₀C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.48(D4:2S3)	288,606
C₆.₄₉(D₄:₂S₃) = C₆².₁₀₁C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.49(D4:2S3)	288,607
C₆.₅₀(D₄:₂S₃) = C₆².₅₆D₄	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.50(D4:2S3)	288,609
C₆.₅₁(D₄:₂S₃) = C₆²:₃Q₈	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.51(D4:2S3)	288,612
C₆.₅₂(D₄:₂S₃) = C₆².₆₀D₄	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.52(D4:2S3)	288,614
C₆.₅₃(D₄:₂S₃) = C₆².₁₁₁C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.53(D4:2S3)	288,617
C₆.₅₄(D₄:₂S₃) = C₆².₁₁₃C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.54(D4:2S3)	288,619
C₆.₅₅(D₄:₂S₃) = Dic₃xC₃:D₄	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.55(D4:2S3)	288,620
C₆.₅₆(D₄:₂S₃) = C₆².₁₁₇C₂³	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.56(D4:2S3)	288,623
C₆.₅₇(D₄:₂S₃) = C₆²:₆D₄	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₆	48	C6.57(D4:2S3)	288,626
C₆.₅₈(D₄:₂S₃) = C₆².₈C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.58(D4:2S3)	288,486
C₆.₅₉(D₄:₂S₃) = Dic₃.Dic₆	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.59(D4:2S3)	288,493
C₆.₆₀(D₄:₂S₃) = C₆².₃₂C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.60(D4:2S3)	288,510
C₆.₆₁(D₄:₂S₃) = C₆².₄₀C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.61(D4:2S3)	288,518
C₆.₆₂(D₄:₂S₃) = C₆².₄₈C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.62(D4:2S3)	288,526
C₆.₆₃(D₄:₂S₃) = D₆:₂Dic₆	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.63(D4:2S3)	288,541
C₆.₆₄(D₄:₂S₃) = C₆².₇₂C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.64(D4:2S3)	288,550
C₆.₆₅(D₄:₂S₃) = C₆².₈₅C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	96	C6.65(D4:2S3)	288,563
C₆.₆₆(D₄:₂S₃) = C₆².₉₉C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.66(D4:2S3)	288,605
C₆.₆₇(D₄:₂S₃) = C₆².₅₇D₄	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.67(D4:2S3)	288,610
C₆.₆₈(D₄:₂S₃) = C₆².₁₁₂C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.68(D4:2S3)	288,618
C₆.₆₉(D₄:₂S₃) = C₆².₁₁₅C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.69(D4:2S3)	288,621
C₆.₇₀(D₄:₂S₃) = C₆²:₇D₄	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.70(D4:2S3)	288,628
C₆.₇₁(D₄:₂S₃) = C₆²:₄Q₈	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₆	48	C6.71(D4:2S3)	288,630
C₆.₇₂(D₄:₂S₃) = C₂³.₁₆D₁₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.72(D4:2S3)	288,87
C₆.₇₃(D₄:₂S₃) = C₂²:₂Dic₁₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.73(D4:2S3)	288,88
C₆.₇₄(D₄:₂S₃) = C₂³.₈D₁₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.74(D4:2S3)	288,89
C₆.₇₅(D₄:₂S₃) = Dic₉:₄D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.75(D4:2S3)	288,91
C₆.₇₆(D₄:₂S₃) = C₂³.₉D₁₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.76(D4:2S3)	288,93
C₆.₇₇(D₄:₂S₃) = Dic₉.D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.77(D4:2S3)	288,95
C₆.₇₈(D₄:₂S₃) = C₂².₄D₃₆	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.78(D4:2S3)	288,96
C₆.₇₉(D₄:₂S₃) = Dic₉:₃Q₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.79(D4:2S3)	288,97
C₆.₈₀(D₄:₂S₃) = Dic₉.Q₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.80(D4:2S3)	288,99
C₆.₈₁(D₄:₂S₃) = C₃₆.₃Q₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.81(D4:2S3)	288,100
C₆.₈₂(D₄:₂S₃) = C₄:C₄:₇D₉	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.82(D4:2S3)	288,102
C₆.₈₃(D₄:₂S₃) = D₁₈:₂Q₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.83(D4:2S3)	288,107
C₆.₈₄(D₄:₂S₃) = C₄:C₄:D₉	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.84(D4:2S3)	288,108
C₆.₈₅(D₄:₂S₃) = D₄xDic₉	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.85(D4:2S3)	288,144
C₆.₈₆(D₄:₂S₃) = C₂³.₂₃D₁₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.86(D4:2S3)	288,145
C₆.₈₇(D₄:₂S₃) = C₃₆.₁₇D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.87(D4:2S3)	288,146
C₆.₈₈(D₄:₂S₃) = C₃₆:₂D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.88(D4:2S3)	288,148
C₆.₈₉(D₄:₂S₃) = Dic₉:D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.89(D4:2S3)	288,149
C₆.₉₀(D₄:₂S₃) = C₂xD₄:₂D₉	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.90(D4:2S3)	288,357
C₆.₉₁(D₄:₂S₃) = C₆².₂₂₁C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.91(D4:2S3)	288,734
C₆.₉₂(D₄:₂S₃) = C₆²:₆Q₈	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.92(D4:2S3)	288,735
C₆.₉₃(D₄:₂S₃) = C₆².₂₂₃C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.93(D4:2S3)	288,736
C₆.₉₄(D₄:₂S₃) = C₆².₂₂₅C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.94(D4:2S3)	288,738
C₆.₉₅(D₄:₂S₃) = C₆².₂₂₇C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.95(D4:2S3)	288,740
C₆.₉₆(D₄:₂S₃) = C₆².₂₂₉C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.96(D4:2S3)	288,742
C₆.₉₇(D₄:₂S₃) = C₆².₆₉D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.97(D4:2S3)	288,743
C₆.₉₈(D₄:₂S₃) = C₆².₂₃₁C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.98(D4:2S3)	288,744
C₆.₉₉(D₄:₂S₃) = C₆².₂₃₃C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.99(D4:2S3)	288,746
C₆.₁₀₀(D₄:₂S₃) = C₆².₂₃₄C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	288	C6.100(D4:2S3)	288,747
C₆.₁₀₁(D₄:₂S₃) = C₆².₂₃₆C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.101(D4:2S3)	288,749
C₆.₁₀₂(D₄:₂S₃) = C₁₂.₃₁D₁₂	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.102(D4:2S3)	288,754
C₆.₁₀₃(D₄:₂S₃) = C₆².₂₄₂C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.103(D4:2S3)	288,755
C₆.₁₀₄(D₄:₂S₃) = D₄xC₃:Dic₃	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.104(D4:2S3)	288,791
C₆.₁₀₅(D₄:₂S₃) = C₆².₇₂D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.105(D4:2S3)	288,792
C₆.₁₀₆(D₄:₂S₃) = C₆².₂₅₄C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.106(D4:2S3)	288,793
C₆.₁₀₇(D₄:₂S₃) = C₆².₂₅₆C₂³	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.107(D4:2S3)	288,795
C₆.₁₀₈(D₄:₂S₃) = C₆²:₁₄D₄	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₆	144	C6.108(D4:2S3)	288,796
C₆.₁₀₉(D₄:₂S₃) = C₃xC₂³.₁₆D₆	central extension (φ=1)	48	C6.109(D4:2S3)	288,648
C₆.₁₁₀(D₄:₂S₃) = C₃xDic₃.D₄	central extension (φ=1)	48	C6.110(D4:2S3)	288,649
C₆.₁₁₁(D₄:₂S₃) = C₃xC₂³.₈D₆	central extension (φ=1)	48	C6.111(D4:2S3)	288,650
C₆.₁₁₂(D₄:₂S₃) = C₃xDic₃:₄D₄	central extension (φ=1)	48	C6.112(D4:2S3)	288,652
C₆.₁₁₃(D₄:₂S₃) = C₃xC₂³.₉D₆	central extension (φ=1)	48	C6.113(D4:2S3)	288,654
C₆.₁₁₄(D₄:₂S₃) = C₃xC₂³.₁₁D₆	central extension (φ=1)	48	C6.114(D4:2S3)	288,656
C₆.₁₁₅(D₄:₂S₃) = C₃xC₂³.₂₁D₆	central extension (φ=1)	48	C6.115(D4:2S3)	288,657
C₆.₁₁₆(D₄:₂S₃) = C₃xDic₆:C₄	central extension (φ=1)	96	C6.116(D4:2S3)	288,658
C₆.₁₁₇(D₄:₂S₃) = C₃xDic₃.Q₈	central extension (φ=1)	96	C6.117(D4:2S3)	288,660
C₆.₁₁₈(D₄:₂S₃) = C₃xC₄.Dic₆	central extension (φ=1)	96	C6.118(D4:2S3)	288,661
C₆.₁₁₉(D₄:₂S₃) = C₃xC₄:C₄:₇S₃	central extension (φ=1)	96	C6.119(D4:2S3)	288,663
C₆.₁₂₀(D₄:₂S₃) = C₃xC₄.D₁₂	central extension (φ=1)	96	C6.120(D4:2S3)	288,668
C₆.₁₂₁(D₄:₂S₃) = C₃xC₄:C₄:S₃	central extension (φ=1)	96	C6.121(D4:2S3)	288,669
C₆.₁₂₂(D₄:₂S₃) = C₃xD₄xDic₃	central extension (φ=1)	48	C6.122(D4:2S3)	288,705
C₆.₁₂₃(D₄:₂S₃) = C₃xC₂³.₂₃D₆	central extension (φ=1)	48	C6.123(D4:2S3)	288,706
C₆.₁₂₄(D₄:₂S₃) = C₃xC₂³.₁₂D₆	central extension (φ=1)	48	C6.124(D4:2S3)	288,707
C₆.₁₂₅(D₄:₂S₃) = C₃xD₆:₃D₄	central extension (φ=1)	48	C6.125(D4:2S3)	288,709
C₆.₁₂₆(D₄:₂S₃) = C₃xC₂³.₁₄D₆	central extension (φ=1)	48	C6.126(D4:2S3)	288,710

Extensions 1→N→G→Q→1 with N=C6 and Q=D4:2S3

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄:₂S₃