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Extensions 1→N→G→Q→1 with N=C22×C60 and Q=C2

Direct product G=N×Q with N=C22×C60 and Q=C2
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C60)⋊1C2 = C6×D10⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):1C2480,720
(C22×C60)⋊2C2 = C3×C23.23D10φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):2C2480,722
(C22×C60)⋊3C2 = C10×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):3C2480,806
(C22×C60)⋊4C2 = C5×C23.28D6φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):4C2480,808
(C22×C60)⋊5C2 = C2×D30⋊3C4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):5C2480,892
(C22×C60)⋊6C2 = C23.28D30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):6C2480,894
(C22×C60)⋊7C2 = C22⋊C4×C30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):7C2480,920
(C22×C60)⋊8C2 = D4×C60φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):8C2480,923
(C22×C60)⋊9C2 = C15×C22.D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):9C2480,928
(C22×C60)⋊10C2 = C60⋊29D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):10C2480,895
(C22×C60)⋊11C2 = C22×D60φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):11C2480,1167
(C22×C60)⋊12C2 = C2×D60⋊11C2φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):12C2480,1168
(C22×C60)⋊13C2 = C4×C15⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):13C2480,893
(C22×C60)⋊14C2 = C22×C4×D15φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):14C2480,1166
(C22×C60)⋊15C2 = C3×C20⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):15C2480,723
(C22×C60)⋊16C2 = C2×C6×D20φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):16C2480,1137
(C22×C60)⋊17C2 = C6×C4○D20φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):17C2480,1138
(C22×C60)⋊18C2 = C5×C12⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):18C2480,809
(C22×C60)⋊19C2 = C2×C10×D12φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):19C2480,1152
(C22×C60)⋊20C2 = C10×C4○D12φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):20C2480,1153
(C22×C60)⋊21C2 = C12×C5⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):21C2480,721
(C22×C60)⋊22C2 = D5×C22×C12φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):22C2480,1136
(C22×C60)⋊23C2 = C20×C3⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):23C2480,807
(C22×C60)⋊24C2 = S3×C22×C20φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):24C2480,1151
(C22×C60)⋊25C2 = C15×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):25C2480,926
(C22×C60)⋊26C2 = D4×C2×C30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):26C2480,1181
(C22×C60)⋊27C2 = C4○D4×C30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60):27C2480,1183

Non-split extensions G=N.Q with N=C22×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C60).1C2 = C3×C10.10C42φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).1C2480,109
(C22×C60).2C2 = C5×C6.C42φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).2C2480,150
(C22×C60).3C2 = C30.29C42φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).3C2480,191
(C22×C60).4C2 = C15×C2.C42φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).4C2480,198
(C22×C60).5C2 = C15×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).5C2480,201
(C22×C60).6C2 = C6×C10.D4φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).6C2480,716
(C22×C60).7C2 = C10×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).7C2480,802
(C22×C60).8C2 = C2×C30.4Q8φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).8C2480,888
(C22×C60).9C2 = C60.205D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).9C2480,889
(C22×C60).10C2 = C2×C60⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).10C2480,890
(C22×C60).11C2 = C22×Dic30φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).11C2480,1165
(C22×C60).12C2 = C2×C60.7C4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).12C2480,886
(C22×C60).13C2 = C23.26D30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).13C2480,891
(C22×C60).14C2 = C60.212D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).14C2480,190
(C22×C60).15C2 = C22×C15⋊3C8φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).15C2480,885
(C22×C60).16C2 = C2×C4×Dic15φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).16C2480,887
(C22×C60).17C2 = C3×C20.48D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).17C2480,717
(C22×C60).18C2 = C6×C4⋊Dic5φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).18C2480,718
(C22×C60).19C2 = C2×C6×Dic10φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).19C2480,1135
(C22×C60).20C2 = C6×C4.Dic5φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).20C2480,714
(C22×C60).21C2 = C3×C23.21D10φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).21C2480,719
(C22×C60).22C2 = C5×C12.48D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).22C2480,803
(C22×C60).23C2 = C10×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).23C2480,804
(C22×C60).24C2 = C2×C10×Dic6φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).24C2480,1150
(C22×C60).25C2 = C10×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).25C2480,800
(C22×C60).26C2 = C5×C23.26D6φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).26C2480,805
(C22×C60).27C2 = C3×C20.55D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).27C2480,108
(C22×C60).28C2 = C2×C6×C5⋊2C8φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).28C2480,713
(C22×C60).29C2 = Dic5×C2×C12φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).29C2480,715
(C22×C60).30C2 = C5×C12.55D4φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).30C2480,149
(C22×C60).31C2 = C2×C10×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).31C2480,799
(C22×C60).32C2 = Dic3×C2×C20φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).32C2480,801
(C22×C60).33C2 = C4⋊C4×C30φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).33C2480,921
(C22×C60).34C2 = C15×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).34C2480,922
(C22×C60).35C2 = C15×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).35C2480,927
(C22×C60).36C2 = M4(2)×C30φ: C2/C1 → C2 ⊆ Aut C22×C60240(C2^2xC60).36C2480,935
(C22×C60).37C2 = Q8×C2×C30φ: C2/C1 → C2 ⊆ Aut C22×C60480(C2^2xC60).37C2480,1182

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