Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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. #23752628 | C2 | semidirect |
| 3. #23752032 | C2 | semidirect |
| 4. #23751997 | C2 | semidirect |
| 5. #23751996 | C2 | semidirect |
| 6. #23751987 | C2 | semidirect |
| 7. #504×C151 | C2 | semidirect |
| 71. C151 | #2171 | semidirect |
| 74. #504 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752628 | 2 |
| #23752327 | 2 |
| #23752032 | 2 |
| #23751997 | 2 |
| #23751996 | 2 |
| #23751987 | 2 |
| #504×C151 | 2 |
| #2171 | 151 |