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Extensions 1→N→G→Q→1 with N=S3×C2×C20 and Q=C2

Direct product G=N×Q with N=S3×C2×C20 and Q=C2
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=S3×C2×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C20)⋊1C2 = S3×C4○D20φ: C2/C1 → C2 ⊆ Out S3×C2×C201204(S3xC2xC20):1C2480,1091
(S3×C2×C20)⋊2C2 = C60⋊4D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):2C2480,532
(S3×C2×C20)⋊3C2 = C60⋊6D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):3C2480,536
(S3×C2×C20)⋊4C2 = C2×D20⋊5S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):4C2480,1074
(S3×C2×C20)⋊5C2 = C2×D60⋊C2φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):5C2480,1081
(S3×C2×C20)⋊6C2 = C2×S3×D20φ: C2/C1 → C2 ⊆ Out S3×C2×C20120(S3xC2xC20):6C2480,1088
(S3×C2×C20)⋊7C2 = C4×C15⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):7C2480,515
(S3×C2×C20)⋊8C2 = C4×C5⋊D12φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):8C2480,521
(S3×C2×C20)⋊9C2 = C2×D6.D10φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):9C2480,1083
(S3×C2×C20)⋊10C2 = S3×C2×C4×D5φ: C2/C1 → C2 ⊆ Out S3×C2×C20120(S3xC2xC20):10C2480,1086
(S3×C2×C20)⋊11C2 = C5×C12⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):11C2480,774
(S3×C2×C20)⋊12C2 = C5×D6⋊3D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):12C2480,817
(S3×C2×C20)⋊13C2 = S3×D4×C10φ: C2/C1 → C2 ⊆ Out S3×C2×C20120(S3xC2xC20):13C2480,1154
(S3×C2×C20)⋊14C2 = C10×D4⋊2S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):14C2480,1155
(S3×C2×C20)⋊15C2 = C10×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):15C2480,1158
(S3×C2×C20)⋊16C2 = C5×S3×C4○D4φ: C2/C1 → C2 ⊆ Out S3×C2×C201204(S3xC2xC20):16C2480,1160
(S3×C2×C20)⋊17C2 = D6⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):17C2480,427
(S3×C2×C20)⋊18C2 = C15⋊17(C4×D4)φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):18C2480,517
(S3×C2×C20)⋊19C2 = C15⋊22(C4×D4)φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):19C2480,522
(S3×C2×C20)⋊20C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):20C2480,528
(S3×C2×C20)⋊21C2 = D6⋊D20φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):21C2480,530
(S3×C2×C20)⋊22C2 = S3×D10⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C20120(S3xC2xC20):22C2480,548
(S3×C2×C20)⋊23C2 = C20×D12φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):23C2480,752
(S3×C2×C20)⋊24C2 = C5×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C20120(S3xC2xC20):24C2480,759
(S3×C2×C20)⋊25C2 = C5×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):25C2480,760
(S3×C2×C20)⋊26C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):26C2480,762
(S3×C2×C20)⋊27C2 = C5×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):27C2480,763
(S3×C2×C20)⋊28C2 = C5×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):28C2480,772
(S3×C2×C20)⋊29C2 = C5×D6.D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):29C2480,773
(S3×C2×C20)⋊30C2 = C20×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):30C2480,807
(S3×C2×C20)⋊31C2 = C10×C4○D12φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20):31C2480,1153

Non-split extensions G=N.Q with N=S3×C2×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C20).1C2 = S3×C4.Dic5φ: C2/C1 → C2 ⊆ Out S3×C2×C201204(S3xC2xC20).1C2480,363
(S3×C2×C20).2C2 = (S3×C20)⋊5C4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).2C2480,414
(S3×C2×C20).3C2 = C60.45D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).3C2480,441
(S3×C2×C20).4C2 = C60.46D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).4C2480,445
(S3×C2×C20).5C2 = S3×C4⋊Dic5φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).5C2480,502
(S3×C2×C20).6C2 = C2×S3×Dic10φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).6C2480,1078
(S3×C2×C20).7C2 = C60.94D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).7C2480,32
(S3×C2×C20).8C2 = C2×S3×C5⋊2C8φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).8C2480,361
(S3×C2×C20).9C2 = C2×D6.Dic5φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).9C2480,370
(S3×C2×C20).10C2 = (S3×C20)⋊7C4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).10C2480,447
(S3×C2×C20).11C2 = C4×S3×Dic5φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).11C2480,473
(S3×C2×C20).12C2 = C5×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).12C2480,770
(S3×C2×C20).13C2 = C5×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).13C2480,771
(S3×C2×C20).14C2 = C5×C4.D12φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).14C2480,776
(S3×C2×C20).15C2 = C5×S3×M4(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C201204(S3xC2xC20).15C2480,785
(S3×C2×C20).16C2 = C5×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).16C2480,825
(S3×C2×C20).17C2 = S3×Q8×C10φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).17C2480,1157
(S3×C2×C20).18C2 = C5×D6⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).18C2480,139
(S3×C2×C20).19C2 = D6⋊Dic10φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).19C2480,428
(S3×C2×C20).20C2 = S3×C10.D4φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).20C2480,475
(S3×C2×C20).21C2 = C5×C42⋊2S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).21C2480,751
(S3×C2×C20).22C2 = C5×D6⋊Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).22C2480,775
(S3×C2×C20).23C2 = C10×C8⋊S3φ: C2/C1 → C2 ⊆ Out S3×C2×C20240(S3xC2xC20).23C2480,779
(S3×C2×C20).24C2 = S3×C4×C20φ: trivial image240(S3xC2xC20).24C2480,750
(S3×C2×C20).25C2 = S3×C2×C40φ: trivial image240(S3xC2xC20).25C2480,778

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