Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 2. C4×#88098 | C2 | semidirect |
| 3. C4×#88103 | C2 | semidirect |
| 4. #13129910 | C2 | semidirect |
| 20. #11718278 | C4 | direct (N × H) |
| 47. #88103 | C2×C4 | semidirect |
| 49. #88098 | C2×C4 | semidirect |
| 174. C4×C13 | #361 | semidirect |
| 266. C13 | C4×#361 | semidirect |
| 318. C4 | #11718278 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718278 | 2 |
| C4×#88098 | 2 |
| C4×#88103 | 2 |
| #13129910 | 2 |
| C4×D8×D13 | 2 |
| C4×#361 | 13 |