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Extensions 1→N→G→Q→1 with N=C4.F5 and Q=C22

Direct product G=NxQ with N=C4.F5 and Q=C22
dρLabelID
C22xC4.F5160C2^2xC4.F5320,1588

Semidirect products G=N:Q with N=C4.F5 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.F5:1C22 = C2xD4:F5φ: C22/C2 → C2 ⊆ Out C4.F580C4.F5:1C2^2320,1106
C4.F5:2C22 = (C2xD4):6F5φ: C22/C2 → C2 ⊆ Out C4.F5808-C4.F5:2C2^2320,1107
C4.F5:3C22 = C2xQ8:2F5φ: C22/C2 → C2 ⊆ Out C4.F580C4.F5:3C2^2320,1121
C4.F5:4C22 = (C2xQ8):6F5φ: C22/C2 → C2 ⊆ Out C4.F5808+C4.F5:4C2^2320,1122
C4.F5:5C22 = D5:C4wrC2φ: C22/C2 → C2 ⊆ Out C4.F5408C4.F5:5C2^2320,1130
C4.F5:6C22 = D4:F5:C2φ: C22/C2 → C2 ⊆ Out C4.F5808C4.F5:6C2^2320,1133
C4.F5:7C22 = C2xD4.F5φ: C22/C2 → C2 ⊆ Out C4.F5160C4.F5:7C2^2320,1593
C4.F5:8C22 = Dic5.C24φ: C22/C2 → C2 ⊆ Out C4.F5808-C4.F5:8C2^2320,1594
C4.F5:9C22 = C2xQ8.F5φ: C22/C2 → C2 ⊆ Out C4.F5160C4.F5:9C2^2320,1597
C4.F5:10C22 = Dic5.20C24φ: C22/C2 → C2 ⊆ Out C4.F5808+C4.F5:10C2^2320,1598
C4.F5:11C22 = Dic5.21C24φ: C22/C2 → C2 ⊆ Out C4.F5808C4.F5:11C2^2320,1601
C4.F5:12C22 = Dic5.22C24φ: C22/C2 → C2 ⊆ Out C4.F5808C4.F5:12C2^2320,1602
C4.F5:13C22 = C2xD5:M4(2)φ: trivial image80C4.F5:13C2^2320,1589

Non-split extensions G=N.Q with N=C4.F5 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.F5.1C22 = D8:5F5φ: C22/C1 → C22 ⊆ Out C4.F5808-C4.F5.1C2^2320,1070
C4.F5.2C22 = D8:F5φ: C22/C1 → C22 ⊆ Out C4.F5808-C4.F5.2C2^2320,1071
C4.F5.3C22 = SD16:3F5φ: C22/C1 → C22 ⊆ Out C4.F5808C4.F5.3C2^2320,1074
C4.F5.4C22 = SD16:2F5φ: C22/C1 → C22 ⊆ Out C4.F5808C4.F5.4C2^2320,1075
C4.F5.5C22 = Q16:5F5φ: C22/C1 → C22 ⊆ Out C4.F5808+C4.F5.5C2^2320,1078
C4.F5.6C22 = Q16:F5φ: C22/C1 → C22 ⊆ Out C4.F5808+C4.F5.6C2^2320,1079
C4.F5.7C22 = C2xC40.C4φ: C22/C2 → C2 ⊆ Out C4.F5160C4.F5.7C2^2320,1060
C4.F5.8C22 = C2xD10.Q8φ: C22/C2 → C2 ⊆ Out C4.F5160C4.F5.8C2^2320,1061
C4.F5.9C22 = (C8xD5).C4φ: C22/C2 → C2 ⊆ Out C4.F5804C4.F5.9C2^2320,1062
C4.F5.10C22 = M4(2).1F5φ: C22/C2 → C2 ⊆ Out C4.F5808C4.F5.10C2^2320,1067

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