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

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

Semidirect products G=N:Q with N=C4.F5 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.F51C22 = C2×D4⋊F5φ: C22/C2C2 ⊆ Out C4.F580C4.F5:1C2^2320,1106
C4.F52C22 = (C2×D4)⋊6F5φ: C22/C2C2 ⊆ Out C4.F5808-C4.F5:2C2^2320,1107
C4.F53C22 = C2×Q82F5φ: C22/C2C2 ⊆ Out C4.F580C4.F5:3C2^2320,1121
C4.F54C22 = (C2×Q8)⋊6F5φ: C22/C2C2 ⊆ Out C4.F5808+C4.F5:4C2^2320,1122
C4.F55C22 = D5⋊C4≀C2φ: C22/C2C2 ⊆ Out C4.F5408C4.F5:5C2^2320,1130
C4.F56C22 = D4⋊F5⋊C2φ: C22/C2C2 ⊆ Out C4.F5808C4.F5:6C2^2320,1133
C4.F57C22 = C2×D4.F5φ: C22/C2C2 ⊆ Out C4.F5160C4.F5:7C2^2320,1593
C4.F58C22 = Dic5.C24φ: C22/C2C2 ⊆ Out C4.F5808-C4.F5:8C2^2320,1594
C4.F59C22 = C2×Q8.F5φ: C22/C2C2 ⊆ Out C4.F5160C4.F5:9C2^2320,1597
C4.F510C22 = Dic5.20C24φ: C22/C2C2 ⊆ Out C4.F5808+C4.F5:10C2^2320,1598
C4.F511C22 = Dic5.21C24φ: C22/C2C2 ⊆ Out C4.F5808C4.F5:11C2^2320,1601
C4.F512C22 = Dic5.22C24φ: C22/C2C2 ⊆ Out C4.F5808C4.F5:12C2^2320,1602
C4.F513C22 = C2×D5⋊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 = D85F5φ: C22/C1C22 ⊆ Out C4.F5808-C4.F5.1C2^2320,1070
C4.F5.2C22 = D8⋊F5φ: C22/C1C22 ⊆ Out C4.F5808-C4.F5.2C2^2320,1071
C4.F5.3C22 = SD163F5φ: C22/C1C22 ⊆ Out C4.F5808C4.F5.3C2^2320,1074
C4.F5.4C22 = SD162F5φ: C22/C1C22 ⊆ Out C4.F5808C4.F5.4C2^2320,1075
C4.F5.5C22 = Q165F5φ: C22/C1C22 ⊆ Out C4.F5808+C4.F5.5C2^2320,1078
C4.F5.6C22 = Q16⋊F5φ: C22/C1C22 ⊆ Out C4.F5808+C4.F5.6C2^2320,1079
C4.F5.7C22 = C2×C40.C4φ: C22/C2C2 ⊆ Out C4.F5160C4.F5.7C2^2320,1060
C4.F5.8C22 = C2×D10.Q8φ: C22/C2C2 ⊆ Out C4.F5160C4.F5.8C2^2320,1061
C4.F5.9C22 = (C8×D5).C4φ: C22/C2C2 ⊆ Out C4.F5804C4.F5.9C2^2320,1062
C4.F5.10C22 = M4(2).1F5φ: C22/C2C2 ⊆ Out C4.F5808C4.F5.10C2^2320,1067

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