# Extensions 1→N→G→Q→1 with N=D5⋊C8 and Q=C22

Direct product G=N×Q with N=D5⋊C8 and Q=C22
dρLabelID
C22×D5⋊C8160C2^2xD5:C8320,1587

Semidirect products G=N:Q with N=D5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
D5⋊C81C22 = (D4×C10)⋊C4φ: C22/C1C22 ⊆ Out D5⋊C8408+D5:C8:1C2^2320,1105
D5⋊C82C22 = Dic5.C24φ: C22/C1C22 ⊆ Out D5⋊C8808-D5:C8:2C2^2320,1594
D5⋊C83C22 = Dic5.20C24φ: C22/C1C22 ⊆ Out D5⋊C8808+D5:C8:3C2^2320,1598
D5⋊C84C22 = Dic5.22C24φ: C22/C1C22 ⊆ Out D5⋊C8808D5:C8:4C2^2320,1602
D5⋊C85C22 = C2×D20⋊C4φ: C22/C2C2 ⊆ Out D5⋊C880D5:C8:5C2^2320,1104
D5⋊C86C22 = C2×D4.F5φ: C22/C2C2 ⊆ Out D5⋊C8160D5:C8:6C2^2320,1593
D5⋊C87C22 = C2×Q8.F5φ: C22/C2C2 ⊆ Out D5⋊C8160D5:C8:7C2^2320,1597
D5⋊C88C22 = Dic5.21C24φ: C22/C2C2 ⊆ Out D5⋊C8808D5:C8:8C2^2320,1601
D5⋊C89C22 = C2×D5⋊M4(2)φ: C22/C2C2 ⊆ Out D5⋊C880D5:C8:9C2^2320,1589

Non-split extensions G=N.Q with N=D5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
D5⋊C8.1C22 = D40⋊C4φ: C22/C1C22 ⊆ Out D5⋊C8408+D5:C8.1C2^2320,1069
D5⋊C8.2C22 = D8⋊F5φ: C22/C1C22 ⊆ Out D5⋊C8808-D5:C8.2C2^2320,1071
D5⋊C8.3C22 = SD16⋊F5φ: C22/C1C22 ⊆ Out D5⋊C8408D5:C8.3C2^2320,1073
D5⋊C8.4C22 = SD162F5φ: C22/C1C22 ⊆ Out D5⋊C8808D5:C8.4C2^2320,1075
D5⋊C8.5C22 = Dic20⋊C4φ: C22/C1C22 ⊆ Out D5⋊C8808-D5:C8.5C2^2320,1077
D5⋊C8.6C22 = Q16⋊F5φ: C22/C1C22 ⊆ Out D5⋊C8808+D5:C8.6C2^2320,1079
D5⋊C8.7C22 = (C2×Q8)⋊4F5φ: C22/C1C22 ⊆ Out D5⋊C8808-D5:C8.7C2^2320,1120
D5⋊C8.8C22 = C4○D4⋊F5φ: C22/C1C22 ⊆ Out D5⋊C8408D5:C8.8C2^2320,1131
D5⋊C8.9C22 = D8×F5φ: C22/C2C2 ⊆ Out D5⋊C8408+D5:C8.9C2^2320,1068
D5⋊C8.10C22 = D85F5φ: C22/C2C2 ⊆ Out D5⋊C8808-D5:C8.10C2^2320,1070
D5⋊C8.11C22 = SD16×F5φ: C22/C2C2 ⊆ Out D5⋊C8408D5:C8.11C2^2320,1072
D5⋊C8.12C22 = SD163F5φ: C22/C2C2 ⊆ Out D5⋊C8808D5:C8.12C2^2320,1074
D5⋊C8.13C22 = Q16×F5φ: C22/C2C2 ⊆ Out D5⋊C8808-D5:C8.13C2^2320,1076
D5⋊C8.14C22 = Q165F5φ: C22/C2C2 ⊆ Out D5⋊C8808+D5:C8.14C2^2320,1078
D5⋊C8.15C22 = C2×Q8⋊F5φ: C22/C2C2 ⊆ Out D5⋊C880D5:C8.15C2^2320,1119
D5⋊C8.16C22 = C4○D20⋊C4φ: C22/C2C2 ⊆ Out D5⋊C8808D5:C8.16C2^2320,1132
D5⋊C8.17C22 = C2×C8⋊F5φ: C22/C2C2 ⊆ Out D5⋊C880D5:C8.17C2^2320,1055
D5⋊C8.18C22 = C20.12C42φ: C22/C2C2 ⊆ Out D5⋊C8804D5:C8.18C2^2320,1056
D5⋊C8.19C22 = M4(2)×F5φ: C22/C2C2 ⊆ Out D5⋊C8408D5:C8.19C2^2320,1064
D5⋊C8.20C22 = M4(2)⋊5F5φ: C22/C2C2 ⊆ Out D5⋊C8808D5:C8.20C2^2320,1066
D5⋊C8.21C22 = C2×C8×F5φ: trivial image80D5:C8.21C2^2320,1054

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