Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 95 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×#11718569 | C2 | semidirect |
| 2. #13124556 | C2 | semidirect |
| 3. #13124484 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. #13116573 | C2 | semidirect |
| 6. #13112951 | C2 | semidirect |
| 7. C13×#2117 | C2 | semidirect |
| 53. C2×Dic52 | D4 | semidirect |
| 64. C2×D104 | D4 | semidirect |
| 69. C13×M32 | D4 | semidirect |
| 76. #88059 | D4 | semidirect |
| 148. #2117 | D13 | semidirect |
| 275. M32 | C22⋊D13 | semidirect |
| 353. C13 | #13310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| #13124556 | 2 |
| #13124484 | 2 |
| C2×#11718108 | 2 |
| #13116573 | 2 |
| #13112951 | 2 |
| C13×#2117 | 2 |
| #13310 | 13 |