Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
402 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 87 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×#20259244 | C2 | semidirect |
| 3. C2×#20259243 | C2 | semidirect |
| 4. C2×#20259242 | C2 | semidirect |
| 5. #27132559 | C2 | semidirect |
| 6. #27132417 | C2 | semidirect |
| 7. C2×#102×C191 | C2 | semidirect |
| 45. C4⋊Dic191 | D4 | semidirect |
| 146. C191 | #2041 | semidirect |
| 152. C2×#102 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259318 | 2 |
| C2×#20259244 | 2 |
| C2×#20259243 | 2 |
| C2×#20259242 | 2 |
| #27132559 | 2 |
| #27132417 | 2 |
| C2×#102×C191 | 2 |
| #2041 | 191 |