Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 117 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. (C2×#3633)⋊Q8 | C2 | semidirect |
| 3. C2×#11763898 | C2 | semidirect |
| 4. C2×Q8⋊#3633 | C2 | semidirect |
| 6. C2×C8×#3633 | C2 | semidirect |
| 58. C2×SD16×C17 | C8 | semidirect |
| 59. C2×#63230 | C8 | semidirect |
| 60. C2×#63229 | C8 | semidirect |
| 63. C2×#63219 | C8 | semidirect |
| 87. C2×#3633 | SD16 | semidirect |
| 178. C8×C17 | C22⋊C8 | semidirect |
| 179. #3622 | C22⋊C8 | semidirect |
| 246. C2×SD16 | #3633 | semidirect |
| 281. C17 | #9655 | semidirect |
| 390. C8 | C22⋊#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| #14545934 | 2 |
| C2×#11763898 | 2 |
| C2×Q8⋊#3633 | 2 |
| C2×D4⋊#3633 | 2 |
| C2×C8×#3633 | 2 |
| C2×SD16×#595 | 2 |
| #9655 | 17 |