Extensions 1→N→G→Q→1 with N=C42⋊2D5 and Q=C2

Direct product G=N×Q with N=C42⋊2D5 and Q=C2
dρLabelID
C2×C42⋊2D5160C2xC4^2:2D5320,1150

Semidirect products G=N:Q with N=C42⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊2D5⋊1C2 = C42⋊25D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:1C2320,1383
C42⋊2D5⋊2C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:2C2320,1384
C42⋊2D5⋊3C2 = C42⋊10D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:3C2320,1199
C42⋊2D5⋊4C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:4C2320,1202
C42⋊2D5⋊5C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:5C2320,1203
C42⋊2D5⋊6C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:6C2320,1205
C42⋊2D5⋊7C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:7C2320,1341
C42⋊2D5⋊8C2 = C42⋊20D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:8C2320,1350
C42⋊2D5⋊9C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:9C2320,1364
C42⋊2D5⋊10C2 = C42⋊17D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:10C2320,1232
C42⋊2D5⋊11C2 = C42.118D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:11C2320,1236
C42⋊2D5⋊12C2 = C42.133D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:12C2320,1254
C42⋊2D5⋊13C2 = D5×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:13C2320,1375
C42⋊2D5⋊14C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:14C2320,1378
C42⋊2D5⋊15C2 = C42.104D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:15C2320,1212
C42⋊2D5⋊16C2 = C42⋊16D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:16C2320,1228
C42⋊2D5⋊17C2 = C42.122D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:17C2320,1240
C42⋊2D5⋊18C2 = C42.132D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:18C2320,1253
C42⋊2D5⋊19C2 = C42⋊28D10φ: C2/C1 → C2 ⊆ Out C42⋊2D580C4^2:2D5:19C2320,1392
C42⋊2D5⋊20C2 = C42.180D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5:20C2320,1407
C42⋊2D5⋊21C2 = C42.277D10φ: trivial image160C4^2:2D5:21C2320,1151

Non-split extensions G=N.Q with N=C42⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊2D5.1C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5.1C2320,1368
C42⋊2D5.2C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out C42⋊2D5160C4^2:2D5.2C2320,1255

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