Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 102 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. #14544699 | C2 | semidirect |
| 3. #14544335 | C2 | semidirect |
| 5. #14543630 | C2 | semidirect |
| 6. #14543612 | C2 | semidirect |
| 91. M16×C17 | M16 | semidirect |
| 98. C42×C17 | M16 | semidirect |
| 254. C17 | #8842 | semidirect |
| 274. M16 | #63243 | semidirect |
| 304. C42 | #63243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545705 | 2 |
| #14544699 | 2 |
| #14544335 | 2 |
| #14544081 | 2 |
| #14543630 | 2 |
| #14543612 | 2 |
| #14528588 | 2 |
| #8842 | 17 |