Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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×#11929613 | C2 | semidirect |
| 2. C2×#14579140 | C2 | semidirect |
| 4. C2×#14579086 | C2 | semidirect |
| 5. C2×#14579083 | C2 | semidirect |
| 6. #19098326 | C2 | semidirect |
| 7. C2×C22⋊C8×C79 | C2 | semidirect |
| 35. C2×Dic158 | D4 | semidirect |
| 52. C4⋊Dic79 | D4 | semidirect |
| 70. C2×C8×C79 | D4 | semidirect |
| 77. C23×C79 | SD16 | semidirect |
| 158. C79 | #2000 | semidirect |
| 164. C2×C22⋊C8 | D79 | semidirect |
| 221. C2×C8 | C22⋊D79 | semidirect |
| 242. C23 | #11929613 | semidirect |