Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
266 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 81 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. C4×#11745664 | C2 | semidirect |
| 3. #16837132 | C2 | semidirect |
| 4. #16837129 | C2 | semidirect |
| 5. C59×#423 | C2 | semidirect |
| 70. D236 | M16 | semidirect |
| 76. Dic118 | M16 | semidirect |
| 104. #423 | D59 | semidirect |
| 108. C59 | #1489 | semidirect |