Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
324 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752620 | C2 | semidirect |
| 4. #23752579 | C2 | semidirect |
| 8. #23752518 | C2 | semidirect |
| 9. #23752517 | C2 | semidirect |
| 121. C151 | #3236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×#18012730 | 2 |
| #23752620 | 2 |
| #23752579 | 2 |
| #23752547 | 2 |
| #23752543 | 2 |
| #23752540 | 2 |
| #23752518 | 2 |
| #23752517 | 2 |
| #23752266 | 2 |
| #484×C151 | 2 |
| #3236 | 151 |