Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
480 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13069455 | C2 | semidirect |
| 3. #13067329 | C2 | semidirect |
| 4. #13067223 | C2 | semidirect |
| 5. #13066527 | C2 | semidirect |
| 6. #13066487 | C2 | semidirect |
| 7. C11×#2995 | C2 | semidirect |
| 135. #2995 | D11 | semidirect |
| 335. C11 | #9340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079631 | 2 |
| #13069455 | 2 |
| #13067329 | 2 |
| #13067223 | 2 |
| #13066527 | 2 |
| #13066487 | 2 |
| C11×#2995 | 2 |
| #9340 | 11 |