Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #23752520 | C2 | semidirect |
| 4. #23752520 | C2 | semidirect |
| 5. #23752508 | C2 | semidirect |
| 6. #23752498 | C2 | semidirect |
| 44. C2×Dic302 | Q8 | semidirect |
| 116. C151 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752840 | 2 |
| #23752689 | 2 |
| #23752520 | 2 |
| #23752508 | 2 |
| #23752498 | 2 |
| #23752254 | 2 |
| #23752250 | 2 |
| #23752222 | 2 |
| C2×#18012664 | 2 |
| #424×C151 | 2 |
| #3082 | 151 |