Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
792 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×#14558988 | C2 | semidirect |
| 3. #23752178 | C2 | direct (N × H) |
| 4. C2×(C2×D151)⋊C8 | C2 | semidirect |
| 5. C23×C8×C151 | C2 | semidirect |
| 15. C2×#14558988 | C22 | semidirect |
| 17. (C2×D151)⋊C8 | C22 | semidirect |
| 21. C22×C8×C151 | C22 | semidirect |
| 91. C2×C151 | #408 | semidirect |
| 95. C151 | C2×#408 | semidirect |
| 99. C23×C8 | D151 | semidirect |
| 116. C22×C8 | C2×D151 | semidirect |
| 188. C2 | #23752178 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14559004 | 2 |
| C22×#14558988 | 2 |
| #23752178 | 2 |
| C2×(C2×D151)⋊C8 | 2 |
| C23×C8×C151 | 2 |
| C2×#408 | 151 |