Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14579183 | C2 | semidirect |
| 2. #19099113 | C2 | semidirect |
| 3. #19098957 | C2 | semidirect |
| 4. #19098952 | C2 | semidirect |
| 5. C2×#97×C79 | C2 | semidirect |
| 32. C2×C8×C79 | D4 | semidirect |
| 64. C79 | #3150 | semidirect |
| 69. C2×#97 | D79 | semidirect |
| 94. C2×C8 | D316 | semidirect |