Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
532 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 89 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. #22627098 | C2 | semidirect |
| 2. C2×C22⋊#11924040 | C2 | semidirect |
| 3. #22626953 | C2 | semidirect |
| 4. #22626952 | C2 | semidirect |
| 208. C73 | #11419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627098 | 2 |
| C2×C22⋊#11924040 | 2 |
| #22626953 | 2 |
| #22626952 | 2 |
| C2×#17989560 | 2 |
| #11419 | 73 |