Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #23752686 | C2 | semidirect |
| 3. #23752228 | C2 | semidirect |
| 4. #23752218 | C2 | semidirect |
| 5. #23752185 | C2 | semidirect |
| 6. #23751969 | C2 | semidirect |
| 7. #344×C151 | C2 | semidirect |
| 12. C2×#14558993 | C4 | semidirect |
| 13. C2×D1208 | C4 | semidirect |
| 30. C2×Dic302 | C2×C4 | semidirect |
| 35. C2×D604 | C2×C4 | semidirect |
| 56. C2×C8×C151 | C2×C4 | semidirect |
| 115. C151 | #1904 | semidirect |
| 122. #344 | D151 | semidirect |
| 165. C2×C8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012767 | 2 |
| #23752686 | 2 |
| #23752228 | 2 |
| #23752218 | 2 |
| #23752185 | 2 |
| #23751969 | 2 |
| #344×C151 | 2 |
| #1904 | 151 |