Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
136 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 51 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. #27133065 | C2 | semidirect |
| 3. #27132491 | C2 | semidirect |
| 4. #27132489 | C2 | semidirect |
| 7. C4⋊C16×C191 | C2 | semidirect |
| 62. C191 | #2228 | semidirect |
| 68. C4⋊C16 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133065 | 2 |
| C4×D1528 | 2 |
| #27132491 | 2 |
| #27132489 | 2 |
| #27132465 | 2 |
| C4⋊C16×C191 | 2 |
| #2228 | 191 |