Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 24. C2×#63241 | Q8 | semidirect |
| 39. C2×Q8×C17 | C16 | semidirect |
| 136. C17 | #13263 | semidirect |
| 139. C2×Q8 | #63241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#63241 | 2 |
| C2×C4×#63241 | 2 |
| #14545854 | 2 |
| C2×Q8×#3624 | 2 |
| #13263 | 17 |