Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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. #20265116 | C2 | semidirect |
| 3. #20265103 | C2 | semidirect |
| 5. #20265088 | C2 | semidirect |
| 6. C4×#13108051 | C2 | semidirect |
| 7. #20265023 | C2 | semidirect |
| 8. C2×C4×Q8×C101 | C2 | semidirect |
| 97. C101 | #2398 | semidirect |
| 98. C2×C4×Q8 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D404 | 2 |
| #20265116 | 2 |
| #20265103 | 2 |
| #20265094 | 2 |
| #20265088 | 2 |
| C4×#13108051 | 2 |
| #20265023 | 2 |
| C2×C4×Q8×C101 | 2 |
| #2398 | 101 |