Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
176 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 55 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. #29505118 | C2 | semidirect |
| 2. #29505062 | C2 | semidirect |
| 3. D4×C239⋊C8 | C2 | semidirect |
| 4. #29504522 | C2 | semidirect |
| 5. #29504520 | C2 | semidirect |
| 6. #29504516 | C2 | semidirect |
| 82. C239 | #1677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505118 | 2 |
| #29505062 | 2 |
| D4×C239⋊C8 | 2 |
| #29504522 | 2 |
| #29504520 | 2 |
| #29504516 | 2 |
| #459×C239 | 2 |
| #1677 | 239 |