Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
496 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 496 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×D632 | C2 | semidirect |
| 2. C2×#14579135 | C2 | semidirect |
| 3. C2×#14579083 | C2 | semidirect |
| 4. #19098326 | C2 | semidirect |
| 5. C2×C22⋊C8×C79 | C2 | semidirect |
| 25. C2×D316 | D4 | semidirect |
| 32. C4⋊Dic79 | D4 | semidirect |
| 44. C2×C8×C79 | D4 | semidirect |
| 49. C23×C79 | D8 | semidirect |
| 107. C79 | #1999 | semidirect |
| 111. C2×C22⋊C8 | D79 | semidirect |
| 148. C2×C8 | C22⋊D79 | semidirect |
| 163. C23 | D632 | semidirect |