Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
496 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#11929609 | C2 | semidirect |
| 2. C2×#14579135 | C2 | semidirect |
| 3. C2×#14579082 | C2 | semidirect |
| 4. C2×#14579081 | C2 | semidirect |
| 5. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 7. C2×#121×C79 | C2 | semidirect |
| 35. C2×D316 | D4 | semidirect |
| 46. C2×C79⋊C8 | D4 | semidirect |
| 48. C4⋊Dic79 | D4 | semidirect |
| 60. C2×D4×C79 | D4 | semidirect |
| 71. C4⋊C4×C79 | D4 | semidirect |
| 86. C23×C79 | D8 | semidirect |
| 172. C79 | #1999 | semidirect |
| 175. C2×#121 | D79 | semidirect |
| 221. C2×D4 | C22⋊D79 | semidirect |
| 242. C4⋊C4 | C22⋊D79 | semidirect |
| 265. C23 | #11929609 | semidirect |