Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
316 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#20259258 | C2 | semidirect |
| 3. #27132667 | C2 | semidirect |
| 4. C2×#20259238 | C2 | semidirect |
| 5. #405×C191 | C2 | semidirect |
| 10. C2×D1528 | C4 | semidirect |
| 81. C191 | #1978 | semidirect |
| 87. #405 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1528 | 2 |
| C2×#20259258 | 2 |
| #27132667 | 2 |
| C2×#20259238 | 2 |
| #405×C191 | 2 |
| #1978 | 191 |