Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11718840 | C2 | semidirect |
| 3. C2×#11718110 | C2 | semidirect |
| 4. C2×#11718158 | C2 | semidirect |
| 5. #13115708 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C2×C13×#510 | C2 | semidirect |
| 46. C2×C13×Q16 | D4 | semidirect |
| 75. C13×M32 | D4 | semidirect |
| 86. #88052 | D4 | semidirect |
| 155. C2×#510 | D13 | semidirect |
| 268. C2×Q16 | C22⋊D13 | semidirect |
| 293. M32 | C22⋊D13 | semidirect |
| 373. C13 | #13342 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13125279 | 2 |
| C2×#11718110 | 2 |
| C2×#11718158 | 2 |
| #13115708 | 2 |
| #13112919 | 2 |
| C2×C13×#510 | 2 |
| #13342 | 13 |