Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16837455 | C2 | semidirect |
| 3. #16837132 | C2 | semidirect |
| 4. #16837129 | C2 | semidirect |
| 5. C59×#423 | C2 | semidirect |
| 96. #423 | D59 | semidirect |
| 99. C59 | #1495 | semidirect |