Extensions 1→N→G→Q→1 with N=C4 and Q=C22xF5

Direct product G=NxQ with N=C4 and Q=C22xF5
dρLabelID
C22xC4xF580C2^2xC4xF5320,1590

Semidirect products G=N:Q with N=C4 and Q=C22xF5
extensionφ:Q→Aut NdρLabelID
C4:1(C22xF5) = C2xD4xF5φ: C22xF5/C2xF5C2 ⊆ Aut C440C4:1(C2^2xF5)320,1595
C4:2(C22xF5) = C22xC4:F5φ: C22xF5/C22xD5C2 ⊆ Aut C480C4:2(C2^2xF5)320,1591

Non-split extensions G=N.Q with N=C4 and Q=C22xF5
extensionφ:Q→Aut NdρLabelID
C4.1(C22xF5) = D8xF5φ: C22xF5/C2xF5C2 ⊆ Aut C4408+C4.1(C2^2xF5)320,1068
C4.2(C22xF5) = D40:C4φ: C22xF5/C2xF5C2 ⊆ Aut C4408+C4.2(C2^2xF5)320,1069
C4.3(C22xF5) = D8:5F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.3(C2^2xF5)320,1070
C4.4(C22xF5) = D8:F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.4(C2^2xF5)320,1071
C4.5(C22xF5) = SD16xF5φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.5(C2^2xF5)320,1072
C4.6(C22xF5) = SD16:F5φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.6(C2^2xF5)320,1073
C4.7(C22xF5) = SD16:3F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808C4.7(C2^2xF5)320,1074
C4.8(C22xF5) = SD16:2F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808C4.8(C2^2xF5)320,1075
C4.9(C22xF5) = Q16xF5φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.9(C2^2xF5)320,1076
C4.10(C22xF5) = Dic20:C4φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.10(C2^2xF5)320,1077
C4.11(C22xF5) = Q16:5F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808+C4.11(C2^2xF5)320,1078
C4.12(C22xF5) = Q16:F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808+C4.12(C2^2xF5)320,1079
C4.13(C22xF5) = C2xD20:C4φ: C22xF5/C2xF5C2 ⊆ Aut C480C4.13(C2^2xF5)320,1104
C4.14(C22xF5) = (D4xC10):C4φ: C22xF5/C2xF5C2 ⊆ Aut C4408+C4.14(C2^2xF5)320,1105
C4.15(C22xF5) = C2xD4:F5φ: C22xF5/C2xF5C2 ⊆ Aut C480C4.15(C2^2xF5)320,1106
C4.16(C22xF5) = (C2xD4):6F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.16(C2^2xF5)320,1107
C4.17(C22xF5) = C2xQ8:F5φ: C22xF5/C2xF5C2 ⊆ Aut C480C4.17(C2^2xF5)320,1119
C4.18(C22xF5) = (C2xQ8):4F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.18(C2^2xF5)320,1120
C4.19(C22xF5) = C2xQ8:2F5φ: C22xF5/C2xF5C2 ⊆ Aut C480C4.19(C2^2xF5)320,1121
C4.20(C22xF5) = (C2xQ8):6F5φ: C22xF5/C2xF5C2 ⊆ Aut C4808+C4.20(C2^2xF5)320,1122
C4.21(C22xF5) = D5:C4wrC2φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.21(C2^2xF5)320,1130
C4.22(C22xF5) = C4oD4:F5φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.22(C2^2xF5)320,1131
C4.23(C22xF5) = C4oD20:C4φ: C22xF5/C2xF5C2 ⊆ Aut C4808C4.23(C2^2xF5)320,1132
C4.24(C22xF5) = D4:F5:C2φ: C22xF5/C2xF5C2 ⊆ Aut C4808C4.24(C2^2xF5)320,1133
C4.25(C22xF5) = C2xD4.F5φ: C22xF5/C2xF5C2 ⊆ Aut C4160C4.25(C2^2xF5)320,1593
C4.26(C22xF5) = Dic5.C24φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.26(C2^2xF5)320,1594
C4.27(C22xF5) = D10.C24φ: C22xF5/C2xF5C2 ⊆ Aut C4408+C4.27(C2^2xF5)320,1596
C4.28(C22xF5) = C2xQ8.F5φ: C22xF5/C2xF5C2 ⊆ Aut C4160C4.28(C2^2xF5)320,1597
C4.29(C22xF5) = Dic5.20C24φ: C22xF5/C2xF5C2 ⊆ Aut C4808+C4.29(C2^2xF5)320,1598
C4.30(C22xF5) = C2xQ8xF5φ: C22xF5/C2xF5C2 ⊆ Aut C480C4.30(C2^2xF5)320,1599
C4.31(C22xF5) = D5.2- 1+4φ: C22xF5/C2xF5C2 ⊆ Aut C4808-C4.31(C2^2xF5)320,1600
C4.32(C22xF5) = Dic5.21C24φ: C22xF5/C2xF5C2 ⊆ Aut C4808C4.32(C2^2xF5)320,1601
C4.33(C22xF5) = C4oD4xF5φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.33(C2^2xF5)320,1603
C4.34(C22xF5) = D5.2+ 1+4φ: C22xF5/C2xF5C2 ⊆ Aut C4408C4.34(C2^2xF5)320,1604
C4.35(C22xF5) = C2xC40:C4φ: C22xF5/C22xD5C2 ⊆ Aut C480C4.35(C2^2xF5)320,1057
C4.36(C22xF5) = C2xD5.D8φ: C22xF5/C22xD5C2 ⊆ Aut C480C4.36(C2^2xF5)320,1058
C4.37(C22xF5) = (C2xC8):6F5φ: C22xF5/C22xD5C2 ⊆ Aut C4804C4.37(C2^2xF5)320,1059
C4.38(C22xF5) = C2xC40.C4φ: C22xF5/C22xD5C2 ⊆ Aut C4160C4.38(C2^2xF5)320,1060
C4.39(C22xF5) = C2xD10.Q8φ: C22xF5/C22xD5C2 ⊆ Aut C4160C4.39(C2^2xF5)320,1061
C4.40(C22xF5) = (C8xD5).C4φ: C22xF5/C22xD5C2 ⊆ Aut C4804C4.40(C2^2xF5)320,1062
C4.41(C22xF5) = M4(2):1F5φ: C22xF5/C22xD5C2 ⊆ Aut C4408C4.41(C2^2xF5)320,1065
C4.42(C22xF5) = M4(2).1F5φ: C22xF5/C22xD5C2 ⊆ Aut C4808C4.42(C2^2xF5)320,1067
C4.43(C22xF5) = C22xC4.F5φ: C22xF5/C22xD5C2 ⊆ Aut C4160C4.43(C2^2xF5)320,1588
C4.44(C22xF5) = Dic5.22C24φ: C22xF5/C22xD5C2 ⊆ Aut C4808C4.44(C2^2xF5)320,1602
C4.45(C22xF5) = C2xD5:C16central extension (φ=1)160C4.45(C2^2xF5)320,1051
C4.46(C22xF5) = C2xC8.F5central extension (φ=1)160C4.46(C2^2xF5)320,1052
C4.47(C22xF5) = D5:M5(2)central extension (φ=1)804C4.47(C2^2xF5)320,1053
C4.48(C22xF5) = C2xC8xF5central extension (φ=1)80C4.48(C2^2xF5)320,1054
C4.49(C22xF5) = C2xC8:F5central extension (φ=1)80C4.49(C2^2xF5)320,1055
C4.50(C22xF5) = C20.12C42central extension (φ=1)804C4.50(C2^2xF5)320,1056
C4.51(C22xF5) = Dic10.C8central extension (φ=1)1608C4.51(C2^2xF5)320,1063
C4.52(C22xF5) = M4(2)xF5central extension (φ=1)408C4.52(C2^2xF5)320,1064
C4.53(C22xF5) = M4(2):5F5central extension (φ=1)808C4.53(C2^2xF5)320,1066
C4.54(C22xF5) = C22xC5:C16central extension (φ=1)320C4.54(C2^2xF5)320,1080
C4.55(C22xF5) = C2xC20.C8central extension (φ=1)160C4.55(C2^2xF5)320,1081
C4.56(C22xF5) = C5:C16.C22central extension (φ=1)1608C4.56(C2^2xF5)320,1129
C4.57(C22xF5) = C22xD5:C8central extension (φ=1)160C4.57(C2^2xF5)320,1587
C4.58(C22xF5) = C2xD5:M4(2)central extension (φ=1)80C4.58(C2^2xF5)320,1589
C4.59(C22xF5) = C2xD10.C23central extension (φ=1)80C4.59(C2^2xF5)320,1592

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