Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
384 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23752272 | C2 | semidirect |
| 3. #23752268 | C2 | semidirect |
| 4. #23752239 | C2 | semidirect |
| 7. M16×Dic151 | C2 | semidirect |
| 8. C2×#18012649 | C2 | semidirect |
| 9. #424×C151 | C2 | semidirect |
| 93. C151 | #2923 | semidirect |
| 99. #424 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752680 | 2 |
| #23752272 | 2 |
| #23752268 | 2 |
| #23752239 | 2 |
| #23752180 | 2 |
| #23752178 | 2 |
| M16×Dic151 | 2 |
| C2×#18012649 | 2 |
| #424×C151 | 2 |
| #2923 | 151 |