Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#13110092 | C2 | semidirect |
| 3. C4×D412 | C2 | semidirect |
| 4. C4⋊(C103⋊C8) | C2 | semidirect |
| 5. #15692945 | C2 | semidirect |
| 6. #15692942 | C2 | semidirect |
| 7. #124×C103 | C2 | semidirect |
| 55. C103 | #463 | semidirect |
| 59. #124 | D103 | semidirect |