Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
482 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #14545909 | C2 | semidirect |
| 4. #14545791 | C2 | semidirect |
| 44. C17×#100 | C8 | semidirect |
| 45. #10587504 | C8 | semidirect |
| 46. #10587494 | C8 | semidirect |
| 77. M16×C17 | C2×C8 | semidirect |
| 78. #63223 | C2×C8 | semidirect |
| 178. #100 | #3633 | semidirect |
| 186. C17 | #8835 | semidirect |
| 205. M16 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546026 | 2 |
| #14545934 | 2 |
| #14545909 | 2 |
| #14545791 | 2 |
| #100×#595 | 2 |
| #8835 | 17 |