Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #15693069 | C2 | semidirect |
| 2. #15693053 | C2 | semidirect |
| 3. #15693052 | C2 | semidirect |
| 4. #15693044 | C2 | semidirect |
| 5. #15693043 | C2 | semidirect |
| 6. Q16×D103 | C2 | semidirect |
| 7. #15693027 | C2 | semidirect |
| 8. C2×Q16×C103 | C2 | semidirect |
| 59. C103 | #578 | semidirect |
| 67. C2×Q16 | D103 | semidirect |