Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 532 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. #13127970 | C2 | semidirect |
| 2. #13124552 | C2 | semidirect |
| 3. #13124499 | C2 | semidirect |
| 4. #13116565 | C2 | semidirect |
| 5. #13116465 | C2 | semidirect |
| 6. #13112934 | C2 | semidirect |
| 7. C2×C13×#360 | C2 | semidirect |
| 40. C2×C13×Q16 | D4 | semidirect |
| 42. C2×C13×D8 | D4 | semidirect |
| 82. #88059 | D4 | semidirect |
| 85. C2×#6090 | D4 | semidirect |
| 158. C2×#360 | D13 | semidirect |
| 269. C2×Q16 | D52 | semidirect |
| 273. C2×D8 | D52 | semidirect |
| 380. C13 | #13318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13124552 | 2 |
| #13124499 | 2 |
| #13116565 | 2 |
| #13116465 | 2 |
| #13112934 | 2 |
| C2×C13×#360 | 2 |
| #13318 | 13 |