Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
278 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#21439896 | C2 | semidirect |
| 4. #29504537 | C2 | semidirect |
| 71. C22×C239 | #108 | semidirect |
| 85. C239 | #1855 | semidirect |
| 157. C22 | #21439896 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#16838532 | 2 |
| C2×#21439896 | 2 |
| #29504736 | 2 |
| #29504537 | 2 |
| C2×C22⋊C8×C239 | 2 |
| #1855 | 239 |