Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
254 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 108 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. #14543810 | C2 | semidirect |
| 3. #14543809 | C2 | semidirect |
| 4. #14543808 | C2 | semidirect |
| 33. C16×D17 | C8 | semidirect |
| 50. C16×C17 | C2×C8 | semidirect |
| 52. #63214 | C2×C8 | semidirect |
| 95. D17 | #1368 | semidirect |
| 113. C17 | C2×#1368 | semidirect |
| 132. C16 | #63242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544326 | 2 |
| #14543810 | 2 |
| #14543809 | 2 |
| #14543808 | 2 |
| D17×#346 | 2 |
| C2×#1368 | 17 |