Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
612 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 117 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×#21439884 | C2 | semidirect |
| 3. C2×#21439882 | C2 | semidirect |
| 4. C2×#21439880 | C2 | semidirect |
| 5. C2×(C2×D239)⋊C8 | C2 | semidirect |
| 6. #29504629 | C2 | semidirect |
| 7. C2×#103×C239 | C2 | semidirect |
| 13. C2×#16838549 | C4 | semidirect |
| 94. D956 | C22⋊C4 | semidirect |
| 111. Q8×C239 | C22⋊C4 | semidirect |
| 163. C239 | #1788 | semidirect |
| 167. C2×#103 | D239 | semidirect |
| 258. Q8 | (C2×D239)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#16838549 | 2 |
| C2×#21439884 | 2 |
| C2×#21439882 | 2 |
| C2×#21439880 | 2 |
| C2×(C2×D239)⋊C8 | 2 |
| #29504629 | 2 |
| C2×#103×C239 | 2 |
| #1788 | 239 |