Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 134 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×C22⋊#6092 | C2 | semidirect |
| 2. #13129772 | C2 | semidirect |
| 3. #13129756 | C2 | semidirect |
| 48. C2×D4×C13 | C16 | semidirect |
| 93. C23×C13 | C2×C16 | semidirect |
| 113. C2×C4×C13 | C2×C16 | semidirect |
| 192. C2×D4 | #6092 | semidirect |
| 225. C13 | #11465 | semidirect |
| 233. C23 | C2×#6092 | semidirect |
| 253. C2×C4 | C2×#6092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#6092 | 2 |
| #13129772 | 2 |
| #13129756 | 2 |
| C2×D4×#1055 | 2 |
| #11465 | 13 |