Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
| 72. C2×Q8×C101 | Q8 | semidirect |
| 130. C101 | #3078 | semidirect |
| 177. C2×Q8 | Dic202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265730 | 2 |
| C2×Q8×Dic101 | 2 |
| #20265486 | 2 |
| #20265482 | 2 |
| #20265470 | 2 |
| #20265460 | 2 |
| #20265220 | 2 |
| #20265219 | 2 |
| #20265200 | 2 |
| #20265186 | 2 |
| #419×C101 | 2 |
| #3078 | 101 |