Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
384 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 103 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×#20259255 | C2 | semidirect |
| 3. C2×#20259244 | C2 | semidirect |
| 4. C2×C8×Dic191 | C2 | semidirect |
| 5. #27132566 | C2 | semidirect |
| 6. #27132564 | C2 | semidirect |
| 7. C2×#102×C191 | C2 | semidirect |
| 11. C2×#15690272 | C4 | semidirect |
| 70. C2×Dic191 | D8 | semidirect |
| 71. C191⋊C8 | C22⋊C4 | semidirect |
| 120. C191 | #1970 | semidirect |
| 125. C2×#102 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#15690272 | 2 |
| C2×#20259255 | 2 |
| C2×#20259244 | 2 |
| C2×C8×Dic191 | 2 |
| #27132566 | 2 |
| #27132564 | 2 |
| C2×#102×C191 | 2 |
| #1970 | 191 |