Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
344 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 125 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. #29504534 | C2 | semidirect |
| 14. C2×C4⋊C4×C239 | C4 | semidirect |
| 76. C239 | #1823 | semidirect |
| 88. C2×C4⋊C4 | Dic239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C239⋊C8) | 2 |
| #29504632 | 2 |
| #29504534 | 2 |
| C22×C4⋊C4×C239 | 2 |
| #1823 | 239 |