Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 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. C4⋊C4×D23 | C2 | semidirect |
| 3. C23×#102 | C2 | semidirect |
| 4. #10625014 | C2 | semidirect |
| 5. (C2×D23)⋊C8 | C2 | semidirect |
| 6. #10625000 | C2 | semidirect |
| 7. #10624989 | C2 | semidirect |
| 58. #102 | D23 | semidirect |
| 60. C23 | #480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10625109 | 2 |
| C4⋊C4×D23 | 2 |
| C23×#102 | 2 |
| #10625014 | 2 |
| (C2×D23)⋊C8 | 2 |
| #10625000 | 2 |
| #10624989 | 2 |
| #480 | 23 |