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Extensions 1→N→G→Q→1 with N=D10⋊C4 and Q=C4

Direct product G=N×Q with N=D10⋊C4 and Q=C4
dρLabelID
C4×D10⋊C4160C4xD10:C4320,565

Semidirect products G=N:Q with N=D10⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D10⋊C4⋊1C4 = D10⋊(C4⋊C4)φ: C4/C1 → C4 ⊆ Out D10⋊C440D10:C4:1C4320,1037
D10⋊C4⋊2C4 = C10.(C4×D4)φ: C4/C1 → C4 ⊆ Out D10⋊C480D10:C4:2C4320,1038
D10⋊C4⋊3C4 = C22⋊C4×F5φ: C4/C1 → C4 ⊆ Out D10⋊C440D10:C4:3C4320,1036
D10⋊C4⋊4C4 = (C2×C42)⋊D5φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:4C4320,567
D10⋊C4⋊5C4 = D10⋊3(C4⋊C4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:5C4320,295
D10⋊C4⋊6C4 = C10.55(C4×D4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:6C4320,297
D10⋊C4⋊7C4 = D10⋊2C42φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:7C4320,293
D10⋊C4⋊8C4 = C10.54(C4×D4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:8C4320,296
D10⋊C4⋊9C4 = D10⋊5(C4⋊C4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:9C4320,616
D10⋊C4⋊10C4 = C10.90(C4×D4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4:10C4320,617

Non-split extensions G=N.Q with N=D10⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
D10⋊C4.1C4 = C5⋊C8⋊D4φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.1C4320,1031
D10⋊C4.2C4 = D10⋊M4(2)φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.2C4320,1032
D10⋊C4.3C4 = C20⋊M4(2)φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.3C4320,1043
D10⋊C4.4C4 = C4⋊C4.9F5φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.4C4320,1046
D10⋊C4.5C4 = C5⋊C8⋊8D4φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.5C4320,1030
D10⋊C4.6C4 = Dic5⋊M4(2)φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.6C4320,1033
D10⋊C4.7C4 = D10.C42φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.7C4320,1039
D10⋊C4.8C4 = D20⋊2C8φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.8C4320,1040
D10⋊C4.9C4 = D10⋊2M4(2)φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.9C4320,1042
D10⋊C4.10C4 = C4⋊C4.7F5φ: C4/C1 → C4 ⊆ Out D10⋊C4160D10:C4.10C4320,1044
D10⋊C4.11C4 = C8⋊6D20φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.11C4320,315
D10⋊C4.12C4 = C42.243D10φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.12C4320,317
D10⋊C4.13C4 = C40⋊32D4φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.13C4320,738
D10⋊C4.14C4 = C8⋊9D20φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.14C4320,333
D10⋊C4.15C4 = D10⋊4M4(2)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.15C4320,355
D10⋊C4.16C4 = Dic5⋊2M4(2)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.16C4320,356
D10⋊C4.17C4 = D10.7C42φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.17C4320,335
D10⋊C4.18C4 = C42.185D10φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.18C4320,336
D10⋊C4.19C4 = C5⋊5(C8×D4)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.19C4320,352
D10⋊C4.20C4 = C5⋊2C8⋊26D4φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.20C4320,357
D10⋊C4.21C4 = D20⋊5C8φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.21C4320,461
D10⋊C4.22C4 = C20⋊6M4(2)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.22C4320,465
D10⋊C4.23C4 = D10⋊5M4(2)φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.23C4320,463
D10⋊C4.24C4 = C42.30D10φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.24C4320,466
D10⋊C4.25C4 = C42.31D10φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.25C4320,467
D10⋊C4.26C4 = C40⋊D4φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.26C4320,754
D10⋊C4.27C4 = C40⋊18D4φ: C4/C2 → C2 ⊆ Out D10⋊C4160D10:C4.27C4320,755
D10⋊C4.28C4 = C8×D20φ: trivial image160D10:C4.28C4320,313
D10⋊C4.29C4 = D10.5C42φ: trivial image160D10:C4.29C4320,316
D10⋊C4.30C4 = C8×C5⋊D4φ: trivial image160D10:C4.30C4320,736

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