Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
264 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 69 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. #23752262 | C2 | semidirect |
| 3. #23752076 | C2 | semidirect |
| 4. #23751947 | C2 | semidirect |
| 5. #23751946 | C2 | semidirect |
| 6. #23751945 | C2 | semidirect |
| 7. #327×C151 | C2 | semidirect |
| 9. #18012738 | C4 | semidirect |
| 10. #18012735 | C4 | semidirect |
| 14. D4×Dic151 | C4 | semidirect |
| 15. #18012701 | C4 | semidirect |
| 119. C151 | #1517 | semidirect |
| 127. #327 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| #23752262 | 2 |
| #23752076 | 2 |
| #23751947 | 2 |
| #23751946 | 2 |
| #23751945 | 2 |
| #327×C151 | 2 |
| #1517 | 151 |