Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
334 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 65 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. #23752174 | C2 | semidirect |
| 3. #95×D151 | C2 | semidirect |
| 4. #23751950 | C2 | semidirect |
| 5. #23751948 | C2 | semidirect |
| 6. #23751946 | C2 | semidirect |
| 7. #327×C151 | C2 | semidirect |
| 8. C2×#14559003 | C4 | semidirect |
| 13. #18012719 | C4 | semidirect |
| 15. #18012710 | C4 | semidirect |
| 19. #18012697 | C4 | semidirect |
| 29. C2×Dic302 | C2×C4 | semidirect |
| 46. C4⋊Dic151 | C2×C4 | semidirect |
| 54. C2×D4×C151 | C2×C4 | semidirect |
| 58. C4⋊C4×C151 | C2×C4 | semidirect |
| 130. C151 | #1504 | semidirect |
| 138. #327 | D151 | semidirect |
| 164. C2×D4 | C4×D151 | semidirect |
| 184. C4⋊C4 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752722 | 2 |
| #23752174 | 2 |
| #95×D151 | 2 |
| #23751950 | 2 |
| #23751948 | 2 |
| #23751946 | 2 |
| #327×C151 | 2 |
| #1504 | 151 |