Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
478 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14579187 | C2 | semidirect |
| 2. #19099130 | C2 | semidirect |
| 3. C2×#14579089 | C2 | semidirect |
| 4. #19098568 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. C2×#127×C79 | C2 | semidirect |
| 33. C2×Dic158 | D4 | semidirect |
| 34. C2×D316 | D4 | semidirect |
| 43. #11929608 | D4 | semidirect |
| 46. C4⋊Dic79 | D4 | semidirect |
| 65. C2×D4×C79 | D4 | semidirect |
| 69. C42×C79 | D4 | semidirect |
| 139. C79 | #2002 | semidirect |
| 142. C2×#127 | D79 | semidirect |
| 191. C2×D4 | C22⋊D79 | semidirect |
| 208. C42 | C22⋊D79 | semidirect |