Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #34039280 | C2 | semidirect |
| 2. #34039275 | C2 | semidirect |
| 3. #34039270 | C2 | semidirect |
| 4. #34039268 | C2 | semidirect |
| 5. #34039264 | C2 | semidirect |
| 6. #34039263 | C2 | semidirect |
| 8. C4×C22⋊D593 | C2 | semidirect |
| 9. C2×C4⋊C4×C593 | C2 | semidirect |
| 66. C593 | #539 | semidirect |
| 76. C2×C4⋊C4 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34039280 | 2 |
| #34039275 | 2 |
| #34039270 | 2 |
| #34039268 | 2 |
| #34039264 | 2 |
| #34039263 | 2 |
| #34039259 | 2 |
| C4×C22⋊D593 | 2 |
| C2×C4⋊C4×C593 | 2 |
| #539 | 593 |