Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 93 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×#11763913 | C2 | semidirect |
| 2. C2×#11763893 | C2 | semidirect |
| 3. #14545837 | C2 | direct (N × H) |
| 8. #11763913 | C22 | semidirect |
| 10. #11763893 | C22 | semidirect |
| 36. C2×Q16×C17 | C8 | semidirect |
| 40. #10587605 | C8 | semidirect |
| 42. C2×D136 | C8 | semidirect |
| 82. Q16×C17 | C2×C8 | semidirect |
| 88. D136 | C2×C8 | semidirect |
| 156. C2×C17 | #1336 | semidirect |
| 166. C2×Q16 | #3633 | semidirect |
| 193. C17 | C2×#1336 | semidirect |
| 205. Q16 | C2×#3633 | semidirect |
| 281. C2 | #14545837 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763913 | 2 |
| C2×#11763893 | 2 |
| #14545837 | 2 |
| C2×#11763853 | 2 |
| C2×#1336 | 17 |