Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
108 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 35 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. #10625103 | C2 | semidirect |
| 2. C2×#67272 | C2 | semidirect |
| 3. #10625079 | C2 | semidirect |
| 4. #10625078 | C2 | semidirect |
| 5. C23×#100 | C2 | semidirect |
| 6. #10625005 | C2 | semidirect |
| 7. #10625004 | C2 | semidirect |
| 60. #100 | D23 | semidirect |
| 61. C23 | #472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10625103 | 2 |
| C2×#67272 | 2 |
| #10625079 | 2 |
| #10625078 | 2 |
| C23×#100 | 2 |
| #10625005 | 2 |
| #10625004 | 2 |
| #472 | 23 |