Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #20265486 | C2 | semidirect |
| 4. #20265482 | C2 | semidirect |
| 5. #20265470 | C2 | semidirect |
| 6. #20265460 | C2 | semidirect |
| 65. C2×Q8×C101 | Q8 | semidirect |
| 117. C101 | #3082 | semidirect |
| 161. C2×Q8 | Dic202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265808 | 2 |
| #20265655 | 2 |
| #20265486 | 2 |
| #20265482 | 2 |
| #20265470 | 2 |
| #20265460 | 2 |
| #20265217 | 2 |
| #20265215 | 2 |
| #20265203 | 2 |
| #20265186 | 2 |
| C2×#103×C101 | 2 |
| #3082 | 101 |