Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 5. #23752495 | C2 | semidirect |
| 6. #23752420 | C2 | semidirect |
| 8. #23752319 | C2 | semidirect |
| 9. #23752316 | C2 | semidirect |
| 127. C151 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752543 | 2 |
| #23752540 | 2 |
| #23752495 | 2 |
| #23752420 | 2 |
| #23752368 | 2 |
| #23752319 | 2 |
| #23752316 | 2 |
| #23752266 | 2 |
| #451×C151 | 2 |
| #3113 | 151 |