Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 7. #11763695 | C4 | semidirect |
| 9. #11763670 | C4 | semidirect |
| 28. C17×#106 | C8 | semidirect |
| 31. #10587488 | C8 | semidirect |
| 135. #106 | #3624 | semidirect |
| 144. C17 | #7174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544990 | 2 |
| #14544331 | 2 |
| #106×Dic17 | 2 |
| #7174 | 17 |