Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
106 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 39 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. #10625097 | C2 | semidirect |
| 3. C23×C22⋊C8 | C2 | semidirect |
| 4. #10625003 | C2 | semidirect |
| 5. #10625003 | C2 | semidirect |
| 6. #10625000 | C2 | semidirect |
| 7. #10624999 | C2 | semidirect |
| 58. C22⋊C8 | D23 | semidirect |
| 59. C23 | #482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10625101 | 2 |
| #10625097 | 2 |
| C23×C22⋊C8 | 2 |
| #10625003 | 2 |
| #10625000 | 2 |
| #10624999 | 2 |
| #482 | 23 |