Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 277. C13 | #10139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126038 | 2 |
| #13125781 | 2 |
| C2×#11718363 | 2 |
| #13113554 | 2 |
| #13113193 | 2 |
| #13112735 | 2 |
| C13×#1531 | 2 |
| #10139 | 13 |