Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
240 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 7. #11763731 | C4 | semidirect |
| 9. C8×#3624 | C4 | semidirect |
| 27. C17×#108 | C8 | semidirect |
| 29. #10587488 | C8 | semidirect |
| 121. #108 | #3624 | semidirect |
| 133. C17 | #7180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763731 | 2 |
| #14543987 | 2 |
| #14528666 | 2 |
| #7180 | 17 |