# Extensions 1→N→G→Q→1 with N=C10.D4 and Q=C4

Direct product G=N×Q with N=C10.D4 and Q=C4
dρLabelID
C4×C10.D4320C4xC10.D4320,558

Semidirect products G=N:Q with N=C10.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C10.D41C4 = C4⋊C45F5φ: C4/C1C4 ⊆ Out C10.D480C10.D4:1C4320,1049
C10.D42C4 = C20⋊(C4⋊C4)φ: C4/C1C4 ⊆ Out C10.D480C10.D4:2C4320,1050
C10.D43C4 = C4⋊C4×F5φ: C4/C1C4 ⊆ Out C10.D480C10.D4:3C4320,1048
C10.D44C4 = C10.92(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:4C4320,560
C10.D45C4 = C10.49(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:5C4320,274
C10.D46C4 = C10.52(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:6C4320,282
C10.D47C4 = Dic52C42φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:7C4320,276
C10.D48C4 = C10.51(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:8C4320,279
C10.D49C4 = C10.96(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:9C4320,599
C10.D410C4 = C10.97(C4×D4)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4:10C4320,605

Non-split extensions G=N.Q with N=C10.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C10.D4.1C4 = C5⋊C8⋊D4φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.1C4320,1031
C10.D4.2C4 = Dic5⋊M4(2)φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.2C4320,1033
C10.D4.3C4 = C20⋊C8⋊C2φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.3C4320,1034
C10.D4.4C4 = C20.M4(2)φ: C4/C1C4 ⊆ Out C10.D4320C10.D4.4C4320,1047
C10.D4.5C4 = Dic5.C42φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.5C4320,1029
C10.D4.6C4 = C5⋊C88D4φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.6C4320,1030
C10.D4.7C4 = D10⋊M4(2)φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.7C4320,1032
C10.D4.8C4 = C23.(C2×F5)φ: C4/C1C4 ⊆ Out C10.D4160C10.D4.8C4320,1035
C10.D4.9C4 = Dic10⋊C8φ: C4/C1C4 ⊆ Out C10.D4320C10.D4.9C4320,1041
C10.D4.10C4 = Dic5.M4(2)φ: C4/C1C4 ⊆ Out C10.D4320C10.D4.10C4320,1045
C10.D4.11C4 = C4011Q8φ: C4/C2C2 ⊆ Out C10.D4320C10.D4.11C4320,306
C10.D4.12C4 = C42.243D10φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.12C4320,317
C10.D4.13C4 = C4032D4φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.13C4320,738
C10.D4.14C4 = C40⋊Q8φ: C4/C2C2 ⊆ Out C10.D4320C10.D4.14C4320,328
C10.D4.15C4 = D104M4(2)φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.15C4320,355
C10.D4.16C4 = Dic52M4(2)φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.16C4320,356
C10.D4.17C4 = D10.7C42φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.17C4320,335
C10.D4.18C4 = C42.185D10φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.18C4320,336
C10.D4.19C4 = C55(C8×D4)φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.19C4320,352
C10.D4.20C4 = C52C826D4φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.20C4320,357
C10.D4.21C4 = Dic105C8φ: C4/C2C2 ⊆ Out C10.D4320C10.D4.21C4320,457
C10.D4.22C4 = C42.198D10φ: C4/C2C2 ⊆ Out C10.D4320C10.D4.22C4320,458
C10.D4.23C4 = Dic5.5M4(2)φ: C4/C2C2 ⊆ Out C10.D4320C10.D4.23C4320,455
C10.D4.24C4 = C42.30D10φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.24C4320,466
C10.D4.25C4 = C42.31D10φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.25C4320,467
C10.D4.26C4 = C40⋊D4φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.26C4320,754
C10.D4.27C4 = C4018D4φ: C4/C2C2 ⊆ Out C10.D4160C10.D4.27C4320,755
C10.D4.28C4 = C8×Dic10φ: trivial image320C10.D4.28C4320,305
C10.D4.29C4 = D10.5C42φ: trivial image160C10.D4.29C4320,316
C10.D4.30C4 = C8×C5⋊D4φ: trivial image160C10.D4.30C4320,736

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