Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xD₂₀

Direct product G=NxQ with N=C₄ and Q=C₂xD₂₀

		d	ρ	Label	ID
C₂xC₄xD₂₀		160		C2xC4xD20	320,1145

Semidirect products G=N:Q with N=C₄ and Q=C₂xD₂₀

extension	φ:Q→Aut N	d	Label	ID
C₄:₁(C₂xD₂₀) = D₄xD₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	C4:1(C2xD20)	320,1221
C₄:₂(C₂xD₂₀) = C₂xC₂₀:₄D₄	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	C4:2(C2xD20)	320,1147
C₄:₃(C₂xD₂₀) = C₂xC₄:D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160	C4:3(C2xD20)	320,1178

Non-split extensions G=N.Q with N=C₄ and Q=C₂xD₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xD₂₀) = D₄:D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80		C4.1(C2xD20)	320,400
C₄.₂(C₂xD₂₀) = D₂₀.₈D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80		C4.2(C2xD20)	320,403
C₄.₃(C₂xD₂₀) = D₄:₃D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.3(C2xD20)	320,408
C₄.₄(C₂xD₂₀) = D₄.D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.4(C2xD20)	320,410
C₄.₅(C₂xD₂₀) = Q₈:₂D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.5(C2xD20)	320,433
C₄.₆(C₂xD₂₀) = D₁₀:₄Q₁₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.6(C2xD20)	320,435
C₄.₇(C₂xD₂₀) = Q₈.D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.7(C2xD20)	320,437
C₄.₈(C₂xD₂₀) = D₂₀:₄D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.8(C2xD20)	320,438
C₄.₉(C₂xD₂₀) = D₄:₄D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	40	4+	C4.9(C2xD20)	320,449
C₄.₁₀(C₂xD₂₀) = M₄(2):D₁₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.10(C2xD20)	320,452
C₄.₁₁(C₂xD₂₀) = D₄.₉D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4-	C4.11(C2xD20)	320,453
C₄.₁₂(C₂xD₂₀) = D₄.₁₀D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.12(C2xD20)	320,454
C₄.₁₃(C₂xD₂₀) = C₂₀:₇D₈	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.13(C2xD20)	320,642
C₄.₁₄(C₂xD₂₀) = D₄.₁D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.14(C2xD20)	320,643
C₄.₁₅(C₂xD₂₀) = D₄.₂D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.15(C2xD20)	320,646
C₄.₁₆(C₂xD₂₀) = Q₈:D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.16(C2xD20)	320,654
C₄.₁₇(C₂xD₂₀) = Q₈.₁D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.17(C2xD20)	320,655
C₄.₁₈(C₂xD₂₀) = C₂₀:₇Q₁₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	320		C4.18(C2xD20)	320,658
C₄.₁₉(C₂xD₂₀) = D₄.₃D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.19(C2xD20)	320,768
C₄.₂₀(C₂xD₂₀) = D₄.₄D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4+	C4.20(C2xD20)	320,769
C₄.₂₁(C₂xD₂₀) = D₄.₅D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160	4-	C4.21(C2xD20)	320,770
C₄.₂₂(C₂xD₂₀) = D₄:₅D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80		C4.22(C2xD20)	320,1226
C₄.₂₃(C₂xD₂₀) = D₄:₆D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.23(C2xD20)	320,1227
C₄.₂₄(C₂xD₂₀) = Q₈xD₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.24(C2xD20)	320,1247
C₄.₂₅(C₂xD₂₀) = Q₈:₅D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.25(C2xD20)	320,1248
C₄.₂₆(C₂xD₂₀) = Q₈:₆D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160		C4.26(C2xD20)	320,1249
C₄.₂₇(C₂xD₂₀) = D₄.₁₁D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4	C4.27(C2xD20)	320,1423
C₄.₂₈(C₂xD₂₀) = D₄.₁₂D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	80	4+	C4.28(C2xD20)	320,1424
C₄.₂₉(C₂xD₂₀) = D₄.₁₃D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₄	160	4-	C4.29(C2xD20)	320,1425
C₄.₃₀(C₂xD₂₀) = C₈:₅D₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.30(C2xD20)	320,320
C₄.₃₁(C₂xD₂₀) = C₂₀:₄D₈	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.31(C2xD20)	320,322
C₄.₃₂(C₂xD₂₀) = C₈.₈D₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.32(C2xD20)	320,323
C₄.₃₃(C₂xD₂₀) = C₂₀:₄Q₁₆	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.33(C2xD20)	320,326
C₄.₃₄(C₂xD₂₀) = C₈:D₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.34(C2xD20)	320,339
C₄.₃₅(C₂xD₂₀) = C₈.D₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.35(C2xD20)	320,342
C₄.₃₆(C₂xD₂₀) = C₂xD₈₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.36(C2xD20)	320,529
C₄.₃₇(C₂xD₂₀) = C₂xC₁₆:D₅	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.37(C2xD20)	320,530
C₄.₃₈(C₂xD₂₀) = D₈₀:₇C₂	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	2	C4.38(C2xD20)	320,531
C₄.₃₉(C₂xD₂₀) = C₂xDic₄₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.39(C2xD20)	320,532
C₄.₄₀(C₂xD₂₀) = D₈₀:C₂	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	80	4+	C4.40(C2xD20)	320,535
C₄.₄₁(C₂xD₂₀) = C₁₆.D₁₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	4-	C4.41(C2xD20)	320,536
C₄.₄₂(C₂xD₂₀) = C₂xC₂₀:₂Q₈	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.42(C2xD20)	320,1140
C₄.₄₃(C₂xD₂₀) = C₂xC₄.D₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.43(C2xD20)	320,1148
C₄.₄₄(C₂xD₂₀) = C₂²xC₄₀:C₂	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.44(C2xD20)	320,1411
C₄.₄₅(C₂xD₂₀) = C₂²xD₄₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.45(C2xD20)	320,1412
C₄.₄₆(C₂xD₂₀) = C₂xD₄₀:₇C₂	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.46(C2xD20)	320,1413
C₄.₄₇(C₂xD₂₀) = C₂²xDic₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.47(C2xD20)	320,1414
C₄.₄₈(C₂xD₂₀) = C₂xC₈:D₁₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	80		C4.48(C2xD20)	320,1418
C₄.₄₉(C₂xD₂₀) = C₂xC₈.D₁₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.49(C2xD20)	320,1419
C₄.₅₀(C₂xD₂₀) = C₈:₈D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.50(C2xD20)	320,491
C₄.₅₁(C₂xD₂₀) = C₈:₂D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.51(C2xD20)	320,492
C₄.₅₂(C₂xD₂₀) = C₈.₂D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.52(C2xD20)	320,495
C₄.₅₃(C₂xD₂₀) = C₈:₇D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.53(C2xD20)	320,510
C₄.₅₄(C₂xD₂₀) = C₈:₃D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.54(C2xD20)	320,513
C₄.₅₅(C₂xD₂₀) = D₁₀:₂Q₁₆	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.55(C2xD20)	320,514
C₄.₅₆(C₂xD₂₀) = C₈.₂₀D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160	4-	C4.56(C2xD20)	320,523
C₄.₅₇(C₂xD₂₀) = C₈.₂₁D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80	4+	C4.57(C2xD20)	320,524
C₄.₅₈(C₂xD₂₀) = C₈.₂₄D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80	4	C4.58(C2xD20)	320,525
C₄.₅₉(C₂xD₂₀) = C₂xD₂₀:₆C₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.59(C2xD20)	320,592
C₄.₆₀(C₂xD₂₀) = C₄oD₂₀:₉C₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.60(C2xD20)	320,593
C₄.₆₁(C₂xD₂₀) = C₂xC₁₀.Q₁₆	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	320		C4.61(C2xD20)	320,596
C₄.₆₂(C₂xD₂₀) = C₄:C₄:₃₆D₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80		C4.62(C2xD20)	320,628
C₄.₆₃(C₂xD₂₀) = C₄oD₂₀:₁₀C₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.63(C2xD20)	320,629
C₄.₆₄(C₂xD₂₀) = C₄.(C₂xD₂₀)	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.64(C2xD20)	320,631
C₄.₆₅(C₂xD₂₀) = C₂xC₂₀.₄₆D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80		C4.65(C2xD20)	320,757
C₄.₆₆(C₂xD₂₀) = M₄(2).₃₁D₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80	4	C4.66(C2xD20)	320,759
C₄.₆₇(C₂xD₂₀) = C₂xC₄.₁₂D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.67(C2xD20)	320,763
C₄.₆₈(C₂xD₂₀) = C₂xD₁₀:₂Q₈	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.68(C2xD20)	320,1181
C₄.₆₉(C₂xD₂₀) = C₁₀.2₊¹⁺⁴	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.69(C2xD20)	320,1182
C₄.₇₀(C₂xD₂₀) = C₄²:₈D₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80		C4.70(C2xD20)	320,1196
C₄.₇₁(C₂xD₂₀) = C₄²:₉D₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80		C4.71(C2xD20)	320,1197
C₄.₇₂(C₂xD₂₀) = C₄².₉₂D₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	160		C4.72(C2xD20)	320,1198
C₄.₇₃(C₂xD₂₀) = C₄₀.₉C₂³	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₄	80	4	C4.73(C2xD20)	320,1420
C₄.₇₄(C₂xD₂₀) = C₈xD₂₀	central extension (φ=1)	160		C4.74(C2xD20)	320,313
C₄.₇₅(C₂xD₂₀) = C₈:₆D₂₀	central extension (φ=1)	160		C4.75(C2xD20)	320,315
C₄.₇₆(C₂xD₂₀) = D₄₀:₁₇C₄	central extension (φ=1)	80	2	C4.76(C2xD20)	320,327
C₄.₇₇(C₂xD₂₀) = C₈:₉D₂₀	central extension (φ=1)	160		C4.77(C2xD20)	320,333
C₄.₇₈(C₂xD₂₀) = D₄₀:₁₀C₄	central extension (φ=1)	80	4	C4.78(C2xD20)	320,344
C₄.₇₉(C₂xD₂₀) = C₂xC₂₀:₃C₈	central extension (φ=1)	320		C4.79(C2xD20)	320,550
C₄.₈₀(C₂xD₂₀) = C₂₀:₁₃M₄(2)	central extension (φ=1)	160		C4.80(C2xD20)	320,551
C₄.₈₁(C₂xD₂₀) = C₂xD₂₀:₄C₄	central extension (φ=1)	80		C4.81(C2xD20)	320,554
C₄.₈₂(C₂xD₂₀) = C₄².₄₃D₁₀	central extension (φ=1)	160		C4.82(C2xD20)	320,626
C₄.₈₃(C₂xD₂₀) = C₄²:₄D₁₀	central extension (φ=1)	80	4	C4.83(C2xD20)	320,632
C₄.₈₄(C₂xD₂₀) = C₂xC₄₀.₆C₄	central extension (φ=1)	160		C4.84(C2xD20)	320,734
C₄.₈₅(C₂xD₂₀) = C₂xD₁₀:₁C₈	central extension (φ=1)	160		C4.85(C2xD20)	320,735
C₄.₈₆(C₂xD₂₀) = (C₂²xC₈):D₅	central extension (φ=1)	160		C4.86(C2xD20)	320,737
C₄.₈₇(C₂xD₂₀) = M₄(2).Dic₅	central extension (φ=1)	80	4	C4.87(C2xD20)	320,752
C₄.₈₈(C₂xD₂₀) = D₁₀:₈M₄(2)	central extension (φ=1)	80		C4.88(C2xD20)	320,753
C₄.₈₉(C₂xD₂₀) = C₄.₈₉(C₂xD₂₀)	central extension (φ=1)	160		C4.89(C2xD20)	320,756
C₄.₉₀(C₂xD₂₀) = C₄².₂₇₆D₁₀	central extension (φ=1)	160		C4.90(C2xD20)	320,1149

Extensions 1→N→G→Q→1 with N=C4 and Q=C2xD20

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xD₂₀