Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂xC₆

Direct product G=NxQ with N=C₄² and Q=C₂xC₆

		d	ρ	Label	ID
C₂²xC₄xC₁₂		192		C2^2xC4xC12	192,1400

Semidirect products G=N:Q with N=C₄² and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:(C₂xC₆) = C₂⁴.₆A₄	φ: C₂xC₆/C₁ → C₂xC₆ ⊆ Aut C₄²	16	12+	C4^2:(C2xC6)	192,1008
C₄²:₂(C₂xC₆) = C₂xC₄²:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₄²	24	6	C4^2:2(C2xC6)	192,1001
C₄²:₃(C₂xC₆) = C₂xC₂³.A₄	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₄²	12	6+	C4^2:3(C2xC6)	192,1002
C₄²:₄(C₂xC₆) = C₃xC₄²:C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:4(C2xC6)	192,854
C₄²:₅(C₂xC₆) = C₃xD₄:₄D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	24	4	C4^2:5(C2xC6)	192,886
C₄²:₆(C₂xC₆) = C₃xD₄.₉D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:6(C2xC6)	192,888
C₄²:₇(C₂xC₆) = C₃xC₂².₁₁C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:7(C2xC6)	192,1407
C₄²:₈(C₂xC₆) = C₃xC₂².₁₉C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:8(C2xC6)	192,1414
C₄²:₉(C₂xC₆) = C₃xC₂².₂₉C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:9(C2xC6)	192,1424
C₄²:₁₀(C₂xC₆) = C₃xC₂².₃₂C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:10(C2xC6)	192,1427
C₄²:₁₁(C₂xC₆) = C₃xD₄²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:11(C2xC6)	192,1434
C₄²:₁₂(C₂xC₆) = C₃xD₄:₅D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:12(C2xC6)	192,1435
C₄²:₁₃(C₂xC₆) = C₃xC₂².₄₅C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:13(C2xC6)	192,1440
C₄²:₁₄(C₂xC₆) = C₃xC₂².₅₄C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:14(C2xC6)	192,1449
C₄²:₁₅(C₂xC₆) = C₃xC₂⁴:C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:15(C2xC6)	192,1450
C₄²:₁₆(C₂xC₆) = C₂²xC₄²:C₃	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₄²	24		C4^2:16(C2xC6)	192,992
C₄²:₁₇(C₂xC₆) = C₆xC₄²:C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:17(C2xC6)	192,1403
C₄²:₁₈(C₂xC₆) = C₆xC₄²:₂C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:18(C2xC6)	192,1417
C₄²:₁₉(C₂xC₆) = C₆xC₄wrC₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	48		C4^2:19(C2xC6)	192,853
C₄²:₂₀(C₂xC₆) = D₄xC₂xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:20(C2xC6)	192,1404
C₄²:₂₁(C₂xC₆) = C₆xC₄.₄D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:21(C2xC6)	192,1415
C₄²:₂₂(C₂xC₆) = C₆xC₄:₁D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:22(C2xC6)	192,1419

Non-split extensions G=N.Q with N=C₄² and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₂xC₆) = C₃xC₄².C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.1(C2xC6)	192,135
C₄².₂(C₂xC₆) = C₃xC₄².₂C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.2(C2xC6)	192,136
C₄².₃(C₂xC₆) = C₃xC₄.D₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.3(C2xC6)	192,137
C₄².₄(C₂xC₆) = C₃xC₄.₁₀D₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.4(C2xC6)	192,138
C₄².₅(C₂xC₆) = C₃xC₄.₆Q₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.5(C2xC6)	192,139
C₄².₆(C₂xC₆) = C₃xC₄².₆C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.6(C2xC6)	192,857
C₄².₇(C₂xC₆) = C₃xC₈:₉D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.7(C2xC6)	192,868
C₄².₈(C₂xC₆) = C₃xSD₁₆:C₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.8(C2xC6)	192,873
C₄².₉(C₂xC₆) = C₃xQ₁₆:C₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.9(C2xC6)	192,874
C₄².₁₀(C₂xC₆) = C₃xD₈:C₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.10(C2xC6)	192,875
C₄².₁₁(C₂xC₆) = C₃xC₈.₂₆D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.11(C2xC6)	192,877
C₄².₁₂(C₂xC₆) = C₃xD₄.₈D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.12(C2xC6)	192,887
C₄².₁₃(C₂xC₆) = C₃xD₄.₁₀D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.13(C2xC6)	192,889
C₄².₁₄(C₂xC₆) = C₃xC₄:D₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.14(C2xC6)	192,892
C₄².₁₅(C₂xC₆) = C₃xC₄:SD₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.15(C2xC6)	192,893
C₄².₁₆(C₂xC₆) = C₃xD₄.D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.16(C2xC6)	192,894
C₄².₁₇(C₂xC₆) = C₃xC₄:₂Q₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.17(C2xC6)	192,895
C₄².₁₈(C₂xC₆) = C₃xD₄.₂D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.18(C2xC6)	192,896
C₄².₁₉(C₂xC₆) = C₃xQ₈.D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.19(C2xC6)	192,897
C₄².₂₀(C₂xC₆) = C₃xD₄:Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.20(C2xC6)	192,907
C₄².₂₁(C₂xC₆) = C₃xQ₈:Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.21(C2xC6)	192,908
C₄².₂₂(C₂xC₆) = C₃xD₄:₂Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.22(C2xC6)	192,909
C₄².₂₃(C₂xC₆) = C₃xC₄.Q₁₆	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.23(C2xC6)	192,910
C₄².₂₄(C₂xC₆) = C₃xD₄.Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.24(C2xC6)	192,911
C₄².₂₅(C₂xC₆) = C₃xQ₈.Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.25(C2xC6)	192,912
C₄².₂₆(C₂xC₆) = C₃xC₄².₂₈C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.26(C2xC6)	192,922
C₄².₂₇(C₂xC₆) = C₃xC₄².₂₉C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.27(C2xC6)	192,923
C₄².₂₈(C₂xC₆) = C₃xC₄².₃₀C₂²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.28(C2xC6)	192,924
C₄².₂₉(C₂xC₆) = C₃xC₈:₃D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.29(C2xC6)	192,929
C₄².₃₀(C₂xC₆) = C₃xC₈.₂D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.30(C2xC6)	192,930
C₄².₃₁(C₂xC₆) = C₃xC₈:Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.31(C2xC6)	192,934
C₄².₃₂(C₂xC₆) = C₃xC₂³.₃₂C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.32(C2xC6)	192,1408
C₄².₃₃(C₂xC₆) = C₃xC₂³.₃₃C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.33(C2xC6)	192,1409
C₄².₃₄(C₂xC₆) = C₃xC₂³.₃₆C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.34(C2xC6)	192,1418
C₄².₃₅(C₂xC₆) = C₃xC₂³.₃₇C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.35(C2xC6)	192,1422
C₄².₃₆(C₂xC₆) = C₃xC₂³.₃₈C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.36(C2xC6)	192,1425
C₄².₃₇(C₂xC₆) = C₃xC₂².₃₃C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.37(C2xC6)	192,1428
C₄².₃₈(C₂xC₆) = C₃xC₂².₃₄C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.38(C2xC6)	192,1429
C₄².₃₉(C₂xC₆) = C₃xC₂².₃₅C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.39(C2xC6)	192,1430
C₄².₄₀(C₂xC₆) = C₃xC₂².₃₆C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.40(C2xC6)	192,1431
C₄².₄₁(C₂xC₆) = C₃xC₂³.₄₁C₂³	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.41(C2xC6)	192,1433
C₄².₄₂(C₂xC₆) = C₃xD₄:₆D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.42(C2xC6)	192,1436
C₄².₄₃(C₂xC₆) = C₃xQ₈:₅D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.43(C2xC6)	192,1437
C₄².₄₄(C₂xC₆) = C₃xD₄xQ₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.44(C2xC6)	192,1438
C₄².₄₅(C₂xC₆) = C₃xQ₈:₆D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.45(C2xC6)	192,1439
C₄².₄₆(C₂xC₆) = C₃xC₂².₄₆C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.46(C2xC6)	192,1441
C₄².₄₇(C₂xC₆) = C₃xC₂².₄₇C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.47(C2xC6)	192,1442
C₄².₄₈(C₂xC₆) = C₃xD₄:₃Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.48(C2xC6)	192,1443
C₄².₄₉(C₂xC₆) = C₃xC₂².₄₉C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.49(C2xC6)	192,1444
C₄².₅₀(C₂xC₆) = C₃xC₂².₅₀C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.50(C2xC6)	192,1445
C₄².₅₁(C₂xC₆) = C₃xQ₈:₃Q₈	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.51(C2xC6)	192,1446
C₄².₅₂(C₂xC₆) = C₃xQ₈²	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.52(C2xC6)	192,1447
C₄².₅₃(C₂xC₆) = C₃xC₂².₅₃C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.53(C2xC6)	192,1448
C₄².₅₄(C₂xC₆) = C₃xC₂².₅₆C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.54(C2xC6)	192,1451
C₄².₅₅(C₂xC₆) = C₃xC₂².₅₇C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.55(C2xC6)	192,1452
C₄².₅₆(C₂xC₆) = C₃xC₂².₅₈C₂⁴	φ: C₂xC₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.56(C2xC6)	192,1453
C₄².₅₇(C₂xC₆) = C₆xC₈:C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.57(C2xC6)	192,836
C₄².₅₈(C₂xC₆) = C₁₂xM₄(2)	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.58(C2xC6)	192,837
C₄².₅₉(C₂xC₆) = C₃xC₈o₂M₄(2)	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.59(C2xC6)	192,838
C₄².₆₀(C₂xC₆) = C₃xC₄².₆C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.60(C2xC6)	192,865
C₄².₆₁(C₂xC₆) = C₃xC₄².₇C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.61(C2xC6)	192,866
C₄².₆₂(C₂xC₆) = C₃xD₄:C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.62(C2xC6)	192,131
C₄².₆₃(C₂xC₆) = C₃xQ₈:C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.63(C2xC6)	192,132
C₄².₆₄(C₂xC₆) = C₃xC₈:₂C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.64(C2xC6)	192,140
C₄².₆₅(C₂xC₆) = C₃xC₈:₁C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.65(C2xC6)	192,141
C₄².₆₆(C₂xC₆) = C₆xC₄:C₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.66(C2xC6)	192,855
C₄².₆₇(C₂xC₆) = C₃xC₄:M₄(2)	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.67(C2xC6)	192,856
C₄².₆₈(C₂xC₆) = D₄xC₂₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.68(C2xC6)	192,867
C₄².₆₉(C₂xC₆) = C₃xC₈:₆D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.69(C2xC6)	192,869
C₄².₇₀(C₂xC₆) = C₁₂xD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.70(C2xC6)	192,870
C₄².₇₁(C₂xC₆) = C₁₂xSD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.71(C2xC6)	192,871
C₄².₇₂(C₂xC₆) = C₁₂xQ₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.72(C2xC6)	192,872
C₄².₇₃(C₂xC₆) = C₃xC₈oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	48	2	C4^2.73(C2xC6)	192,876
C₄².₇₄(C₂xC₆) = Q₈xC₂₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.74(C2xC6)	192,878
C₄².₇₅(C₂xC₆) = C₃xC₈:₄Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.75(C2xC6)	192,879
C₄².₇₆(C₂xC₆) = C₃xC₄.₄D₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.76(C2xC6)	192,919
C₄².₇₇(C₂xC₆) = C₃xC₄.SD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.77(C2xC6)	192,920
C₄².₇₈(C₂xC₆) = C₃xC₄².₇₈C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.78(C2xC6)	192,921
C₄².₇₉(C₂xC₆) = C₃xC₈:₅D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.79(C2xC6)	192,925
C₄².₈₀(C₂xC₆) = C₃xC₈:₄D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.80(C2xC6)	192,926
C₄².₈₁(C₂xC₆) = C₃xC₄:Q₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.81(C2xC6)	192,927
C₄².₈₂(C₂xC₆) = C₃xC₈.₁₂D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.82(C2xC6)	192,928
C₄².₈₃(C₂xC₆) = C₃xC₈:₃Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.83(C2xC6)	192,931
C₄².₈₄(C₂xC₆) = C₃xC₈.₅Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.84(C2xC6)	192,932
C₄².₈₅(C₂xC₆) = C₃xC₈:₂Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.85(C2xC6)	192,933
C₄².₈₆(C₂xC₆) = Q₈xC₂xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.86(C2xC6)	192,1405
C₄².₈₇(C₂xC₆) = C₁₂xC₄oD₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.87(C2xC6)	192,1406
C₄².₈₈(C₂xC₆) = C₆xC₄².C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.88(C2xC6)	192,1416
C₄².₈₉(C₂xC₆) = C₆xC₄:Q₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.89(C2xC6)	192,1420
C₄².₉₀(C₂xC₆) = C₃xC₂².₂₆C₂⁴	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.90(C2xC6)	192,1421
C₄².₉₁(C₂xC₆) = C₃xC₈:C₈	central extension (φ=1)	192		C4^2.91(C2xC6)	192,128
C₄².₉₂(C₂xC₆) = C₃xC₄².₁₂C₄	central extension (φ=1)	96		C4^2.92(C2xC6)	192,864

Extensions 1→N→G→Q→1 with N=C42 and Q=C2xC6

Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂xC₆