Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 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 |
|---|---|---|
| 1. #10625115 | C2 | semidirect |
| 5. C23×#103 | C2 | semidirect |
| 6. Dic23⋊C8 | C2 | semidirect |
| 7. #10624992 | C2 | semidirect |
| 47. Dic23 | SD16 | semidirect |
| 59. #103 | D23 | semidirect |
| 60. C23 | #461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10625115 | 2 |
| C2×#67274 | 2 |
| C2×#67263 | 2 |
| #10625064 | 2 |
| C23×#103 | 2 |
| Dic23⋊C8 | 2 |
| #10624992 | 2 |
| #461 | 23 |