Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
118 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 41 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. #10625059 | C2 | semidirect |
| 3. C23×#102 | C2 | semidirect |
| 4. #10625014 | C2 | semidirect |
| 5. #10625003 | C2 | semidirect |
| 6. C8×Dic23 | C2 | semidirect |
| 7. #10624991 | C2 | semidirect |
| 59. #102 | D23 | semidirect |
| 61. C23 | #486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10625111 | 2 |
| #10625059 | 2 |
| C23×#102 | 2 |
| #10625014 | 2 |
| #10625003 | 2 |
| C8×Dic23 | 2 |
| #10624991 | 2 |
| #486 | 23 |