Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14545820 | C2 | semidirect |
| 3. #14545812 | C2 | semidirect |
| 37. C17×#124 | C8 | semidirect |
| 38. #10587633 | C8 | semidirect |
| 39. #10587622 | C8 | semidirect |
| 42. #10587561 | C8 | semidirect |
| 57. C2×Q8×C17 | C2×C8 | semidirect |
| 69. C2×Dic34 | C2×C8 | semidirect |
| 83. C42×C17 | C2×C8 | semidirect |
| 88. C4×Dic17 | C2×C8 | semidirect |
| 185. #124 | #3633 | semidirect |
| 206. C17 | #11477 | semidirect |
| 212. C2×Q8 | C2×#3633 | semidirect |
| 249. C42 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545897 | 2 |
| #14545820 | 2 |
| #14545812 | 2 |
| #124×#595 | 2 |
| #11477 | 17 |