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 |
|---|---|---|
| 1. C23×#117 | C2 | semidirect |
| 3. C22⋊(C23⋊C8) | C2 | semidirect |
| 4. #10624991 | C2 | semidirect |
| 5. #10624991 | C2 | semidirect |
| 6. #10624990 | C2 | semidirect |
| 7. #10624989 | C2 | semidirect |
| 53. #117 | 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 |
|---|---|
| C23×#117 | 2 |
| #10625101 | 2 |
| C22⋊(C23⋊C8) | 2 |
| #10624991 | 2 |
| #10624990 | 2 |
| #10624989 | 2 |
| #482 | 23 |