Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
216 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 9. C8×Dic239 | C4 | semidirect |
| 64. C239 | #1835 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×Dic239 | 2 |
| #29504637 | 2 |
| #29504535 | 2 |
| #29504534 | 2 |
| #340×C239 | 2 |
| #1835 | 239 |