Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
564 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 92 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. #14545437 | C2 | semidirect |
| 2. #14545093 | C2 | semidirect |
| 3. #14545018 | C2 | semidirect |
| 4. #14543857 | C2 | semidirect |
| 17. #11763063 | C4 | semidirect |
| 18. #11763062 | C4 | semidirect |
| 21. #11763059 | C4 | semidirect |
| 24. C17×#469 | C4 | semidirect |
| 35. C2×D8×C17 | C2×C4 | semidirect |
| 47. C2×D136 | C2×C4 | semidirect |
| 58. #10587534 | D4 | semidirect |
| 63. C17×#106 | C2×C4 | semidirect |
| 67. #10587488 | C2×C4 | semidirect |
| 217. #469 | #595 | semidirect |
| 241. C2×D8 | C2×#595 | semidirect |
| 274. #106 | C2×#595 | semidirect |
| 279. C17 | #12999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545437 | 2 |
| #14545093 | 2 |
| #14545018 | 2 |
| #14543857 | 2 |
| D17×#469 | 2 |
| #12999 | 17 |