Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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. #10625063 | C2 | semidirect |
| 3. C23×#107 | C2 | semidirect |
| 4. #10625003 | C2 | semidirect |
| 5. (C2×D23)⋊C8 | C2 | semidirect |
| 6. #10624991 | C2 | semidirect |
| 7. #10624990 | C2 | semidirect |
| 54. #107 | 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 |
|---|---|
| #10625066 | 2 |
| #10625063 | 2 |
| C23×#107 | 2 |
| #10625003 | 2 |
| (C2×D23)⋊C8 | 2 |
| #10624991 | 2 |
| #10624990 | 2 |
| #482 | 23 |