Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
158 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #27132415 | C2 | semidirect |
| 5. #27132414 | C2 | semidirect |
| 6. #27132413 | C2 | semidirect |
| 7. #335×C191 | C2 | semidirect |
| 75. C191 | #1574 | semidirect |
| 81. #335 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27132715 | 2 |
| #27132714 | 2 |
| #27132685 | 2 |
| #27132415 | 2 |
| #27132414 | 2 |
| #27132413 | 2 |
| #335×C191 | 2 |
| #1574 | 191 |