Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
444 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#11745671 | C2 | semidirect |
| 3. C2×#14273651 | C2 | semidirect |
| 4. C2×#14273647 | C2 | semidirect |
| 5. C2×C22⋊(C59⋊C8) | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C2×C22⋊Q8×C59 | C2 | semidirect |
| 36. C2×Q8×C59 | D4 | semidirect |
| 59. C4⋊C4×C59 | D4 | semidirect |
| 70. C2×C59⋊C8 | D4 | semidirect |
| 77. C23×C59 | SD16 | semidirect |
| 159. C2×C22⋊Q8 | D59 | semidirect |
| 165. C59 | #2000 | semidirect |
| 194. C2×Q8 | C22⋊D59 | semidirect |
| 226. C4⋊C4 | C22⋊D59 | semidirect |
| 242. C23 | #11745671 | semidirect |