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Extensions 1→N→G→Q→1 with N=C10×D12 and Q=C2

Direct product G=N×Q with N=C10×D12 and Q=C2
dρLabelID
C2×C10×D12240C2xC10xD12480,1152

Semidirect products G=N:Q with N=C10×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×D12)⋊1C2 = D20⋊21D6φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):1C2480,375
(C10×D12)⋊2C2 = D60⋊36C22φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):2C2480,380
(C10×D12)⋊3C2 = D20⋊26D6φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):3C2480,1094
(C10×D12)⋊4C2 = C2×C5⋊D24φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):4C2480,378
(C10×D12)⋊5C2 = C60⋊D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):5C2480,525
(C10×D12)⋊6C2 = C20⋊D12φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):6C2480,527
(C10×D12)⋊7C2 = C2×D12⋊5D5φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):7C2480,1084
(C10×D12)⋊8C2 = C2×D5×D12φ: C2/C1 → C2 ⊆ Out C10×D12120(C10xD12):8C2480,1087
(C10×D12)⋊9C2 = C2×C15⋊D8φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):9C2480,372
(C10×D12)⋊10C2 = C60⋊10D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):10C2480,539
(C10×D12)⋊11C2 = C20⋊2D12φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):11C2480,542
(C10×D12)⋊12C2 = C2×D12⋊D5φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):12C2480,1079
(C10×D12)⋊13C2 = C2×C20⋊D6φ: C2/C1 → C2 ⊆ Out C10×D12120(C10xD12):13C2480,1089
(C10×D12)⋊14C2 = Dic5⋊D12φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):14C2480,492
(C10×D12)⋊15C2 = Dic15⋊2D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):15C2480,529
(C10×D12)⋊16C2 = D30⋊4D4φ: C2/C1 → C2 ⊆ Out C10×D12120(C10xD12):16C2480,551
(C10×D12)⋊17C2 = C5×C4⋊D12φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):17C2480,753
(C10×D12)⋊18C2 = C5×D6⋊D4φ: C2/C1 → C2 ⊆ Out C10×D12120(C10xD12):18C2480,761
(C10×D12)⋊19C2 = C5×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):19C2480,763
(C10×D12)⋊20C2 = C5×C12⋊D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):20C2480,774
(C10×D12)⋊21C2 = C10×D24φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):21C2480,782
(C10×D12)⋊22C2 = C5×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):22C2480,809
(C10×D12)⋊23C2 = C5×C8⋊D6φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):23C2480,787
(C10×D12)⋊24C2 = C10×D4⋊S3φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):24C2480,810
(C10×D12)⋊25C2 = C5×C12⋊3D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):25C2480,819
(C10×D12)⋊26C2 = C5×D4⋊D6φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):26C2480,828
(C10×D12)⋊27C2 = S3×D4×C10φ: C2/C1 → C2 ⊆ Out C10×D12120(C10xD12):27C2480,1154
(C10×D12)⋊28C2 = C10×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12):28C2480,1158
(C10×D12)⋊29C2 = C5×D4○D12φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12):29C2480,1161
(C10×D12)⋊30C2 = C10×C4○D12φ: trivial image240(C10xD12):30C2480,1153

Non-split extensions G=N.Q with N=C10×D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×D12).1C2 = C20.5D12φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12).1C2480,35
(C10×D12).2C2 = C10.D24φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).2C2480,43
(C10×D12).3C2 = C2×D12.D5φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).3C2480,392
(C10×D12).4C2 = C60.69D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).4C2480,449
(C10×D12).5C2 = Dic5×D12φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).5C2480,491
(C10×D12).6C2 = D12⋊Dic5φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).6C2480,42
(C10×D12).7C2 = C2×C20.D6φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).7C2480,384
(C10×D12).8C2 = C60.89D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).8C2480,446
(C10×D12).9C2 = Dic15⋊8D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).9C2480,511
(C10×D12).10C2 = C5×C2.D24φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).10C2480,140
(C10×D12).11C2 = (C2×D12).D5φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).11C2480,499
(C10×D12).12C2 = C5×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).12C2480,754
(C10×D12).13C2 = C5×D6.D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).13C2480,773
(C10×D12).14C2 = C10×C24⋊C2φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).14C2480,781
(C10×D12).15C2 = C5×C6.D8φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).15C2480,128
(C10×D12).16C2 = C5×C12.46D4φ: C2/C1 → C2 ⊆ Out C10×D121204(C10xD12).16C2480,142
(C10×D12).17C2 = C5×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).17C2480,772
(C10×D12).18C2 = C10×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).18C2480,820
(C10×D12).19C2 = C5×C12.23D4φ: C2/C1 → C2 ⊆ Out C10×D12240(C10xD12).19C2480,826
(C10×D12).20C2 = C20×D12φ: trivial image240(C10xD12).20C2480,752

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