Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
954 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 146 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. #22626100 | C2 | semidirect |
| 2. #22625228 | C2 | semidirect |
| 3. #22625224 | C2 | semidirect |
| 4. #22625174 | C2 | semidirect |
| 35. #14556639 | C8 | semidirect |
| 202. C73 | #8319 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626100 | 2 |
| #22625228 | 2 |
| #22625224 | 2 |
| #22625174 | 2 |
| #22623140 | 2 |
| #8319 | 73 |