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Extensions 1→N→G→Q→1 with N=C2×C4×D15 and Q=C2

Direct product G=N×Q with N=C2×C4×D15 and Q=C2
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C2×C4×D15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×D15)⋊1C2 = C4⋊D60φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):1C2480,860
(C2×C4×D15)⋊2C2 = C60⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):2C2480,903
(C2×C4×D15)⋊3C2 = C2×D4×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15120(C2xC4xD15):3C2480,1169
(C2×C4×D15)⋊4C2 = C2×D4⋊2D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):4C2480,1170
(C2×C4×D15)⋊5C2 = C2×Q8⋊3D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):5C2480,1173
(C2×C4×D15)⋊6C2 = C4○D4×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D151204(C2xC4xD15):6C2480,1175
(C2×C4×D15)⋊7C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):7C2480,430
(C2×C4×D15)⋊8C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):8C2480,431
(C2×C4×D15)⋊9C2 = Dic15⋊13D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):9C2480,472
(C2×C4×D15)⋊10C2 = Dic15⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):10C2480,482
(C2×C4×D15)⋊11C2 = D30⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):11C2480,537
(C2×C4×D15)⋊12C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15120(C2xC4xD15):12C2480,549
(C2×C4×D15)⋊13C2 = C4×D60φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):13C2480,838
(C2×C4×D15)⋊14C2 = C22⋊C4×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15120(C2xC4xD15):14C2480,845
(C2×C4×D15)⋊15C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):15C2480,846
(C2×C4×D15)⋊16C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):16C2480,848
(C2×C4×D15)⋊17C2 = D30⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):17C2480,849
(C2×C4×D15)⋊18C2 = D60⋊11C4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):18C2480,858
(C2×C4×D15)⋊19C2 = D30.29D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):19C2480,859
(C2×C4×D15)⋊20C2 = C4×C15⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):20C2480,893
(C2×C4×D15)⋊21C2 = C2×D60⋊11C2φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):21C2480,1168
(C2×C4×D15)⋊22C2 = C12⋊2D20φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):22C2480,541
(C2×C4×D15)⋊23C2 = C20⋊2D12φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):23C2480,542
(C2×C4×D15)⋊24C2 = C2×D20⋊S3φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):24C2480,1075
(C2×C4×D15)⋊25C2 = C2×D12⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):25C2480,1079
(C2×C4×D15)⋊26C2 = C2×C20⋊D6φ: C2/C1 → C2 ⊆ Out C2×C4×D15120(C2xC4xD15):26C2480,1089
(C2×C4×D15)⋊27C2 = D20⋊24D6φ: C2/C1 → C2 ⊆ Out C2×C4×D151204(C2xC4xD15):27C2480,1092
(C2×C4×D15)⋊28C2 = C4×C3⋊D20φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):28C2480,519
(C2×C4×D15)⋊29C2 = C4×C5⋊D12φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):29C2480,521
(C2×C4×D15)⋊30C2 = C2×D6.D10φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15):30C2480,1083
(C2×C4×D15)⋊31C2 = S3×C2×C4×D5φ: C2/C1 → C2 ⊆ Out C2×C4×D15120(C2xC4xD15):31C2480,1086

Non-split extensions G=N.Q with N=C2×C4×D15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×D15).1C2 = C4⋊C4⋊7D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).1C2480,857
(C2×C4×D15).2C2 = D30⋊6Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).2C2480,862
(C2×C4×D15).3C2 = M4(2)×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D151204(C2xC4xD15).3C2480,871
(C2×C4×D15).4C2 = D30⋊7Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).4C2480,911
(C2×C4×D15).5C2 = C2×Q8×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).5C2480,1172
(C2×C4×D15).6C2 = D30⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).6C2480,180
(C2×C4×D15).7C2 = D30⋊8Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).7C2480,453
(C2×C4×D15).8C2 = D30.Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).8C2480,480
(C2×C4×D15).9C2 = C42⋊2D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).9C2480,837
(C2×C4×D15).10C2 = C4⋊C4×D15φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).10C2480,856
(C2×C4×D15).11C2 = D30⋊5Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).11C2480,861
(C2×C4×D15).12C2 = C2×C40⋊S3φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).12C2480,865
(C2×C4×D15).13C2 = (C4×D15)⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).13C2480,423
(C2×C4×D15).14C2 = D30⋊9Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).14C2480,459
(C2×C4×D15).15C2 = D30⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).15C2480,466
(C2×C4×D15).16C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).16C2480,513
(C2×C4×D15).17C2 = C2×D15⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).17C2480,1082
(C2×C4×D15).18C2 = D15⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4×D151204(C2xC4xD15).18C2480,368
(C2×C4×D15).19C2 = D30⋊4C8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).19C2480,33
(C2×C4×D15).20C2 = C2×D15⋊2C8φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).20C2480,365
(C2×C4×D15).21C2 = C2×D30.5C4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).21C2480,371
(C2×C4×D15).22C2 = (C4×D15)⋊10C4φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).22C2480,462
(C2×C4×D15).23C2 = C4×D30.C2φ: C2/C1 → C2 ⊆ Out C2×C4×D15240(C2xC4xD15).23C2480,477
(C2×C4×D15).24C2 = C42×D15φ: trivial image240(C2xC4xD15).24C2480,836
(C2×C4×D15).25C2 = C2×C8×D15φ: trivial image240(C2xC4xD15).25C2480,864

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