# Extensions 1→N→G→Q→1 with N=Dic3×C2×C10 and Q=C2

Direct product G=N×Q with N=Dic3×C2×C10 and Q=C2
dρLabelID
Dic3×C22×C10480Dic3xC2^2xC10480,1163

Semidirect products G=N:Q with N=Dic3×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3×C2×C10)⋊1C2 = C2×D10⋊Dic3φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):1C2480,611
(Dic3×C2×C10)⋊2C2 = (C2×C30).D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):2C2480,612
(Dic3×C2×C10)⋊3C2 = C2×D304C4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):3C2480,616
(Dic3×C2×C10)⋊4C2 = C10.(C2×D12)φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):4C2480,618
(Dic3×C2×C10)⋊5C2 = Dic3×C5⋊D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):5C2480,629
(Dic3×C2×C10)⋊6C2 = C1528(C4×D4)φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):6C2480,632
(Dic3×C2×C10)⋊7C2 = (C2×C6)⋊D20φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):7C2480,645
(Dic3×C2×C10)⋊8C2 = C22×D5×Dic3φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):8C2480,1112
(Dic3×C2×C10)⋊9C2 = C2×Dic5.D6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):9C2480,1113
(Dic3×C2×C10)⋊10C2 = C22×D30.C2φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):10C2480,1117
(Dic3×C2×C10)⋊11C2 = C22×C3⋊D20φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):11C2480,1119
(Dic3×C2×C10)⋊12C2 = C5×Dic34D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):12C2480,760
(Dic3×C2×C10)⋊13C2 = C5×C23.21D6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):13C2480,765
(Dic3×C2×C10)⋊14C2 = C10×D6⋊C4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):14C2480,806
(Dic3×C2×C10)⋊15C2 = C5×D4×Dic3φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):15C2480,813
(Dic3×C2×C10)⋊16C2 = C5×C23.23D6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):16C2480,814
(Dic3×C2×C10)⋊17C2 = C5×C23.14D6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):17C2480,818
(Dic3×C2×C10)⋊18C2 = C10×C6.D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):18C2480,831
(Dic3×C2×C10)⋊19C2 = C10×D42S3φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):19C2480,1155
(Dic3×C2×C10)⋊20C2 = C2×C10×C3⋊D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10):20C2480,1164
(Dic3×C2×C10)⋊21C2 = S3×C22×C20φ: trivial image240(Dic3xC2xC10):21C2480,1151

Non-split extensions G=N.Q with N=Dic3×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3×C2×C10).1C2 = C30.24C42φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).1C2480,70
(Dic3×C2×C10).2C2 = C2×Dic3×Dic5φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).2C2480,603
(Dic3×C2×C10).3C2 = C23.26(S3×D5)φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10).3C2480,605
(Dic3×C2×C10).4C2 = C2×C30.Q8φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).4C2480,617
(Dic3×C2×C10).5C2 = C2×Dic155C4φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).5C2480,620
(Dic3×C2×C10).6C2 = C2×C6.Dic10φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).6C2480,621
(Dic3×C2×C10).7C2 = (C2×C10)⋊8Dic6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10).7C2480,651
(Dic3×C2×C10).8C2 = C22×C15⋊Q8φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).8C2480,1121
(Dic3×C2×C10).9C2 = C5×C6.C42φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).9C2480,150
(Dic3×C2×C10).10C2 = C5×C23.16D6φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10).10C2480,756
(Dic3×C2×C10).11C2 = C5×Dic3.D4φ: C2/C1C2 ⊆ Out Dic3×C2×C10240(Dic3xC2xC10).11C2480,757
(Dic3×C2×C10).12C2 = C10×Dic3⋊C4φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).12C2480,802
(Dic3×C2×C10).13C2 = C10×C4⋊Dic3φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).13C2480,804
(Dic3×C2×C10).14C2 = C2×C10×Dic6φ: C2/C1C2 ⊆ Out Dic3×C2×C10480(Dic3xC2xC10).14C2480,1150
(Dic3×C2×C10).15C2 = Dic3×C2×C20φ: trivial image480(Dic3xC2xC10).15C2480,801

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