Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 39 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. C4⋊C4×D41 | C2 | semidirect |
| 3. #13050098 | C2 | semidirect |
| 4. #13050097 | C2 | semidirect |
| 5. #13050085 | C2 | semidirect |
| 6. #13050076 | C2 | semidirect |
| 7. #102×C41 | C2 | semidirect |
| 53. C41 | #480 | semidirect |
| 59. #102 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13050135 | 2 |
| C4⋊C4×D41 | 2 |
| #13050098 | 2 |
| #13050097 | 2 |
| #13050085 | 2 |
| #13050076 | 2 |
| #102×C41 | 2 |
| #480 | 41 |