Finite Group DatabasebetaFinite Group DatabasebetaOrder 18752.
150 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 55 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. #22627549 | C2 | semidirect |
| 5. #22627548 | C2 | semidirect |
| 6. #22627547 | C2 | semidirect |
| 7. #103×C293 | C2 | semidirect |
| 11. Q8×D293 | C4 | semidirect |
| 54. C293 | #419 | semidirect |
| 62. #103 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D293 | 2 |
| C2×#17989785 | 2 |
| #22627582 | 2 |
| #22627549 | 2 |
| #22627548 | 2 |
| #22627547 | 2 |
| #103×C293 | 2 |
| #419 | 293 |