Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #23752550 | C2 | semidirect |
| 3. #23752545 | C2 | semidirect |
| 4. #23752540 | C2 | semidirect |
| 5. #23752252 | C2 | semidirect |
| 6. #23752221 | C2 | semidirect |
| 18. #18012672 | C22 | semidirect |
| 19. #18012670 | C22 | semidirect |
| 20. #18012663 | C22 | semidirect |
| 21. #18012663 | C22 | semidirect |
| 116. C151 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012698 | 2 |
| #23752550 | 2 |
| #23752545 | 2 |
| #23752540 | 2 |
| #23752252 | 2 |
| #23752221 | 2 |
| #23752176 | 2 |
| C2×C22⋊Q8×C151 | 2 |
| #3095 | 151 |