Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. C4×Q8×C23 | C2 | semidirect |
| 2. #10625118 | C2 | semidirect |
| 3. #10625117 | C2 | semidirect |
| 4. #10625069 | C2 | semidirect |
| 6. #10625065 | C2 | semidirect |
| 7. #10625061 | C2 | semidirect |
| 8. C4×D92 | C2 | semidirect |
| 9. C4×D92 | C2 | semidirect |
| 10. #10625043 | C2 | semidirect |
| 11. C42×D23 | C2 | semidirect |
| 81. C4×Q8 | D23 | semidirect |
| 86. C23 | #529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×C23 | 2 |
| #10625118 | 2 |
| #10625117 | 2 |
| #10625069 | 2 |
| #10625066 | 2 |
| #10625065 | 2 |
| #10625061 | 2 |
| C4×D92 | 2 |
| #10625043 | 2 |
| C42×D23 | 2 |
| #529 | 23 |