Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
306 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 93 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. #22627162 | C2 | semidirect |
| 2. #22627026 | C2 | semidirect |
| 3. #22627025 | C2 | semidirect |
| 6. #17989695 | C22 | semidirect |
| 126. D73 | #1400 | semidirect |
| 131. C73 | C2×#1400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627162 | 2 |
| #22627026 | 2 |
| #22627025 | 2 |
| C2×#17989643 | 2 |
| C2×#1400 | 73 |