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Extensions 1→N→G→Q→1 with N=C4⋊D20 and Q=C2

Direct product G=N×Q with N=C4⋊D20 and Q=C2
dρLabelID
C2×C4⋊D20160C2xC4:D20320,1147

Semidirect products G=N:Q with N=C4⋊D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D20⋊1C2 = C20⋊4D8φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:1C2320,322
C4⋊D20⋊2C2 = C8⋊D20φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:2C2320,339
C4⋊D20⋊3C2 = C42⋊9D10φ: C2/C1 → C2 ⊆ Out C4⋊D2080C4:D20:3C2320,1197
C4⋊D20⋊4C2 = C42.100D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:4C2320,1207
C4⋊D20⋊5C2 = C42⋊25D10φ: C2/C1 → C2 ⊆ Out C4⋊D2080C4:D20:5C2320,1383
C4⋊D20⋊6C2 = D4⋊4D20φ: C2/C1 → C2 ⊆ Out C4⋊D20404+C4:D20:6C2320,449
C4⋊D20⋊7C2 = C4⋊D40φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:7C2320,470
C4⋊D20⋊8C2 = C20⋊7D8φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:8C2320,642
C4⋊D20⋊9C2 = C42.64D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:9C2320,685
C4⋊D20⋊10C2 = C20⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:10C2320,700
C4⋊D20⋊11C2 = D4×D20φ: C2/C1 → C2 ⊆ Out C4⋊D2080C4:D20:11C2320,1221
C4⋊D20⋊12C2 = Dic10⋊24D4φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:12C2320,1225
C4⋊D20⋊13C2 = Q8⋊6D20φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:13C2320,1249
C4⋊D20⋊14C2 = C42⋊18D10φ: C2/C1 → C2 ⊆ Out C4⋊D2080C4:D20:14C2320,1346
C4⋊D20⋊15C2 = C42.156D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:15C2320,1370
C4⋊D20⋊16C2 = D5×C4⋊1D4φ: C2/C1 → C2 ⊆ Out C4⋊D2080C4:D20:16C2320,1386
C4⋊D20⋊17C2 = C42.240D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20:17C2320,1397
C4⋊D20⋊18C2 = C42.276D10φ: trivial image160C4:D20:18C2320,1149

Non-split extensions G=N.Q with N=C4⋊D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D20.1C2 = C42⋊F5φ: C2/C1 → C2 ⊆ Out C4⋊D20404+C4:D20.1C2320,191
C4⋊D20.2C2 = C8⋊5D20φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.2C2320,320
C4⋊D20.3C2 = C4.5D40φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.3C2320,321
C4⋊D20.4C2 = C42.19D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.4C2320,340
C4⋊D20.5C2 = C4.D40φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.5C2320,43
C4⋊D20.6C2 = Dic10⋊8D4φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.6C2320,475
C4⋊D20.7C2 = Q8⋊D20φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.7C2320,654
C4⋊D20.8C2 = C42.70D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.8C2320,694
C4⋊D20.9C2 = C20⋊6SD16φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.9C2320,712
C4⋊D20.10C2 = C20.D8φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.10C2320,715
C4⋊D20.11C2 = C42.136D10φ: C2/C1 → C2 ⊆ Out C4⋊D20160C4:D20.11C2320,1257

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