Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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. #27133101 | C2 | semidirect |
| 2. #27133040 | C2 | semidirect |
| 3. #27132781 | C2 | semidirect |
| 4. #27132477 | C2 | semidirect |
| 5. #364×C191 | C2 | semidirect |
| 20. Dic764 | D4 | semidirect |
| 26. D1528 | D4 | semidirect |
| 61. C191 | #2213 | semidirect |
| 66. #364 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133101 | 2 |
| #27133040 | 2 |
| #27132781 | 2 |
| #27132477 | 2 |
| #364×C191 | 2 |
| #2213 | 191 |