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Extensions 1→N→G→Q→1 with N=C22xC60 and Q=C2

Direct product G=NxQ with N=C22xC60 and Q=C2
dρLabelID
C23xC60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22xC60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC60):1C2 = C6xD10:C4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):1C2480,720
(C22xC60):2C2 = C3xC23.23D10φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):2C2480,722
(C22xC60):3C2 = C10xD6:C4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):3C2480,806
(C22xC60):4C2 = C5xC23.28D6φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):4C2480,808
(C22xC60):5C2 = C2xD30:3C4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):5C2480,892
(C22xC60):6C2 = C23.28D30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):6C2480,894
(C22xC60):7C2 = C22:C4xC30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):7C2480,920
(C22xC60):8C2 = D4xC60φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):8C2480,923
(C22xC60):9C2 = C15xC22.D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):9C2480,928
(C22xC60):10C2 = C60:29D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):10C2480,895
(C22xC60):11C2 = C22xD60φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):11C2480,1167
(C22xC60):12C2 = C2xD60:11C2φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):12C2480,1168
(C22xC60):13C2 = C4xC15:7D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):13C2480,893
(C22xC60):14C2 = C22xC4xD15φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):14C2480,1166
(C22xC60):15C2 = C3xC20:7D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):15C2480,723
(C22xC60):16C2 = C2xC6xD20φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):16C2480,1137
(C22xC60):17C2 = C6xC4oD20φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):17C2480,1138
(C22xC60):18C2 = C5xC12:7D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):18C2480,809
(C22xC60):19C2 = C2xC10xD12φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):19C2480,1152
(C22xC60):20C2 = C10xC4oD12φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):20C2480,1153
(C22xC60):21C2 = C12xC5:D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):21C2480,721
(C22xC60):22C2 = D5xC22xC12φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):22C2480,1136
(C22xC60):23C2 = C20xC3:D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):23C2480,807
(C22xC60):24C2 = S3xC22xC20φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):24C2480,1151
(C22xC60):25C2 = C15xC4:D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):25C2480,926
(C22xC60):26C2 = D4xC2xC30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):26C2480,1181
(C22xC60):27C2 = C4oD4xC30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60):27C2480,1183

Non-split extensions G=N.Q with N=C22xC60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC60).1C2 = C3xC10.10C42φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).1C2480,109
(C22xC60).2C2 = C5xC6.C42φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).2C2480,150
(C22xC60).3C2 = C30.29C42φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).3C2480,191
(C22xC60).4C2 = C15xC2.C42φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).4C2480,198
(C22xC60).5C2 = C15xC22:C8φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).5C2480,201
(C22xC60).6C2 = C6xC10.D4φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).6C2480,716
(C22xC60).7C2 = C10xDic3:C4φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).7C2480,802
(C22xC60).8C2 = C2xC30.4Q8φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).8C2480,888
(C22xC60).9C2 = C60.205D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).9C2480,889
(C22xC60).10C2 = C2xC60:5C4φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).10C2480,890
(C22xC60).11C2 = C22xDic30φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).11C2480,1165
(C22xC60).12C2 = C2xC60.7C4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).12C2480,886
(C22xC60).13C2 = C23.26D30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).13C2480,891
(C22xC60).14C2 = C60.212D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).14C2480,190
(C22xC60).15C2 = C22xC15:3C8φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).15C2480,885
(C22xC60).16C2 = C2xC4xDic15φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).16C2480,887
(C22xC60).17C2 = C3xC20.48D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).17C2480,717
(C22xC60).18C2 = C6xC4:Dic5φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).18C2480,718
(C22xC60).19C2 = C2xC6xDic10φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).19C2480,1135
(C22xC60).20C2 = C6xC4.Dic5φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).20C2480,714
(C22xC60).21C2 = C3xC23.21D10φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).21C2480,719
(C22xC60).22C2 = C5xC12.48D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).22C2480,803
(C22xC60).23C2 = C10xC4:Dic3φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).23C2480,804
(C22xC60).24C2 = C2xC10xDic6φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).24C2480,1150
(C22xC60).25C2 = C10xC4.Dic3φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).25C2480,800
(C22xC60).26C2 = C5xC23.26D6φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).26C2480,805
(C22xC60).27C2 = C3xC20.55D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).27C2480,108
(C22xC60).28C2 = C2xC6xC5:2C8φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).28C2480,713
(C22xC60).29C2 = Dic5xC2xC12φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).29C2480,715
(C22xC60).30C2 = C5xC12.55D4φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).30C2480,149
(C22xC60).31C2 = C2xC10xC3:C8φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).31C2480,799
(C22xC60).32C2 = Dic3xC2xC20φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).32C2480,801
(C22xC60).33C2 = C4:C4xC30φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).33C2480,921
(C22xC60).34C2 = C15xC42:C2φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).34C2480,922
(C22xC60).35C2 = C15xC22:Q8φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).35C2480,927
(C22xC60).36C2 = M4(2)xC30φ: C2/C1 → C2 ⊆ Aut C22xC60240(C2^2xC60).36C2480,935
(C22xC60).37C2 = Q8xC2xC30φ: C2/C1 → C2 ⊆ Aut C22xC60480(C2^2xC60).37C2480,1182

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