Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
602 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14538811 | C2 | semidirect |
| 2. #14534138 | C2 | semidirect |
| 3. #14527344 | C2 | semidirect |
| 4. #14527212 | C2 | semidirect |
| 5. #14527175 | C2 | semidirect |
| 6. #14526644 | C2 | semidirect |
| 99. C2×D4×C17 | SD16 | semidirect |
| 316. C17 | #9998 | semidirect |
| 335. C2×D4 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538811 | 2 |
| #14534138 | 2 |
| #14527344 | 2 |
| #14527212 | 2 |
| #14527175 | 2 |
| #14526644 | 2 |
| C17×#3036 | 2 |
| #9998 | 17 |