Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
222 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
| 3. #10625115 | C2 | semidirect |
| 6. #10625060 | C2 | semidirect |
| 7. #10625059 | C2 | semidirect |
| 10. C4×Dic46 | C2 | semidirect |
| 11. C4×Dic46 | C2 | semidirect |
| 49. C4×D23 | Q8 | semidirect |
| 79. C4×Q8 | D23 | semidirect |
| 82. C23 | #533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×C23 | 2 |
| #10625117 | 2 |
| #10625115 | 2 |
| #10625068 | 2 |
| #10625067 | 2 |
| #10625060 | 2 |
| #10625059 | 2 |
| #10625043 | 2 |
| C42×D23 | 2 |
| C4×Dic46 | 2 |
| #533 | 23 |