Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
458 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 3. #22625883 | C2 | semidirect |
| 4. #22624814 | C2 | semidirect |
| 109. C2×C4×C73 | #108 | semidirect |
| 165. C73 | #8860 | semidirect |
| 282. C2×C4 | #14556662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626796 | 2 |
| #22625911 | 2 |
| #22625883 | 2 |
| #22624814 | 2 |
| #22608248 | 2 |
| #8860 | 73 |