Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. #34039279 | C2 | semidirect |
| 2. #34039277 | C2 | semidirect |
| 3. #34039273 | C2 | semidirect |
| 4. #34039268 | C2 | semidirect |
| 5. #34039264 | C2 | semidirect |
| 7. C4×Dic1186 | C2 | semidirect |
| 8. C4×D2372 | C2 | semidirect |
| 9. C4×C22⋊D593 | C2 | semidirect |
| 10. #34039242 | C2 | semidirect |
| 11. C2×C42×C593 | C2 | semidirect |
| 74. C593 | #529 | semidirect |
| 86. C2×C42 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34039279 | 2 |
| #34039277 | 2 |
| #34039273 | 2 |
| #34039268 | 2 |
| #34039264 | 2 |
| #34039259 | 2 |
| C4×Dic1186 | 2 |
| C4×D2372 | 2 |
| C4×C22⋊D593 | 2 |
| #34039242 | 2 |
| C2×C42×C593 | 2 |
| #529 | 593 |