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Extensions 1→N→G→Q→1 with N=C2×Dic30 and Q=C2

Direct product G=N×Q with N=C2×Dic30 and Q=C2
dρLabelID
C22×Dic30480C2^2xDic30480,1165

Semidirect products G=N:Q with N=C2×Dic30 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic30)⋊1C2 = D10⋊4Dic6φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):1C2480,507
(C2×Dic30)⋊2C2 = D6⋊3Dic10φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):2C2480,508
(C2×Dic30)⋊3C2 = Dic15.10D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):3C2480,538
(C2×Dic30)⋊4C2 = C42⋊7D15φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):4C2480,840
(C2×Dic30)⋊5C2 = C22⋊2Dic30φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):5C2480,843
(C2×Dic30)⋊6C2 = C23.11D30φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):6C2480,850
(C2×Dic30)⋊7C2 = D30⋊5Q8φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):7C2480,861
(C2×Dic30)⋊8C2 = C2×C24⋊D5φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):8C2480,867
(C2×Dic30)⋊9C2 = C60.205D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):9C2480,889
(C2×Dic30)⋊10C2 = D30⋊6Q8φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):10C2480,862
(C2×Dic30)⋊11C2 = C8.D30φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):11C2480,874
(C2×Dic30)⋊12C2 = C2×D4.D15φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):12C2480,898
(C2×Dic30)⋊13C2 = C60.17D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):13C2480,901
(C2×Dic30)⋊14C2 = D4.9D30φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):14C2480,916
(C2×Dic30)⋊15C2 = C2×D4⋊2D15φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):15C2480,1170
(C2×Dic30)⋊16C2 = C2×Q8×D15φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):16C2480,1172
(C2×Dic30)⋊17C2 = D4.10D30φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):17C2480,1177
(C2×Dic30)⋊18C2 = C60.63D4φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):18C2480,389
(C2×Dic30)⋊19C2 = D12.33D10φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):19C2480,398
(C2×Dic30)⋊20C2 = D20.39D6φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30):20C2480,1077
(C2×Dic30)⋊21C2 = C2×C6.D20φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):21C2480,386
(C2×Dic30)⋊22C2 = C60.44D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):22C2480,440
(C2×Dic30)⋊23C2 = C60.45D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):23C2480,441
(C2×Dic30)⋊24C2 = C2×D20⋊5S3φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):24C2480,1074
(C2×Dic30)⋊25C2 = C2×S3×Dic10φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):25C2480,1078
(C2×Dic30)⋊26C2 = C2×D12.D5φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):26C2480,392
(C2×Dic30)⋊27C2 = C60.68D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):27C2480,436
(C2×Dic30)⋊28C2 = C60.69D4φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):28C2480,449
(C2×Dic30)⋊29C2 = C2×D5×Dic6φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):29C2480,1073
(C2×Dic30)⋊30C2 = C2×D12⋊5D5φ: C2/C1 → C2 ⊆ Out C2×Dic30240(C2xDic30):30C2480,1084
(C2×Dic30)⋊31C2 = C2×D60⋊11C2φ: trivial image240(C2xDic30):31C2480,1168

Non-split extensions G=N.Q with N=C2×Dic30 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic30).1C2 = Dic30⋊8C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).1C2480,176
(C2×Dic30).2C2 = Dic3⋊Dic10φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).2C2480,404
(C2×Dic30).3C2 = C60⋊8Q8φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).3C2480,834
(C2×Dic30).4C2 = C4⋊Dic30φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).4C2480,853
(C2×Dic30).5C2 = C2×Dic60φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).5C2480,870
(C2×Dic30).6C2 = Dic30⋊9C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).6C2480,170
(C2×Dic30).7C2 = C4.D60φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30).7C2480,184
(C2×Dic30).8C2 = Dic15⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).8C2480,852
(C2×Dic30).9C2 = C2×C15⋊7Q16φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).9C2480,908
(C2×Dic30).10C2 = Dic15⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).10C2480,909
(C2×Dic30).11C2 = C60.31D4φ: C2/C1 → C2 ⊆ Out C2×Dic302404-(C2xDic30).11C2480,39
(C2×Dic30).12C2 = Dic30⋊12C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).12C2480,50
(C2×Dic30).13C2 = C2×C3⋊Dic20φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).13C2480,395
(C2×Dic30).14C2 = Dic30⋊14C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).14C2480,416
(C2×Dic30).15C2 = C60.48D4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).15C2480,465
(C2×Dic30).16C2 = Dic30⋊15C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).16C2480,51
(C2×Dic30).17C2 = C2×C5⋊Dic12φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).17C2480,396
(C2×Dic30).18C2 = Dic30⋊17C4φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).18C2480,409
(C2×Dic30).19C2 = Dic5⋊Dic6φ: C2/C1 → C2 ⊆ Out C2×Dic30480(C2xDic30).19C2480,452
(C2×Dic30).20C2 = C4×Dic30φ: trivial image480(C2xDic30).20C2480,833

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