Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. C4×#11929624 | C2 | semidirect |
| 3. #19098581 | C2 | semidirect |
| 4. C2×#14579089 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098335 | C2 | semidirect |
| 7. #339×C79 | C2 | semidirect |
| 11. #14579194 | C4 | semidirect |
| 13. #14579189 | C4 | semidirect |
| 37. C2×Dic158 | C2×C4 | semidirect |
| 39. C2×D316 | C2×C4 | semidirect |
| 62. M16×C79 | C2×C4 | semidirect |
| 130. C79 | #1906 | semidirect |
| 137. #339 | D79 | semidirect |
| 185. M16 | C4×D79 | semidirect |