Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
534 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 117 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. #22610919 | C2 | semidirect |
| 4. #22608689 | C2 | semidirect |
| 5. #22608611 | C2 | semidirect |
| 6. #22608221 | C2 | semidirect |
| 131. #10596831 | #100 | semidirect |
| 161. C73 | #9805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988959 | 2 |
| #22610919 | 2 |
| #22610772 | 2 |
| #22608689 | 2 |
| #22608611 | 2 |
| #22608221 | 2 |
| C73×#1545 | 2 |
| #9805 | 73 |