Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
184 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #22627165 | C2 | semidirect |
| 2. #22627031 | C2 | semidirect |
| 3. #22627028 | C2 | semidirect |
| 4. #22627017 | C2 | semidirect |
| 69. C73 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627165 | 2 |
| #22627031 | 2 |
| #22627028 | 2 |
| #22627017 | 2 |
| #22626320 | 2 |
| #13648 | 73 |