Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
310 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20265944 | C2 | semidirect |
| 2. #20265194 | C2 | semidirect |
| 3. #20265173 | C2 | semidirect |
| 4. #20265144 | C2 | semidirect |
| 5. #20264949 | C2 | semidirect |
| 6. #20264941 | C2 | semidirect |
| 22. #137×C101 | C4 | semidirect |
| 24. AGL(1,ℤ/8)×C101 | C4 | semidirect |
| 119. C101 | #1881 | semidirect |
| 130. #137 | Dic101 | semidirect |
| 132. AGL(1,ℤ/8) | Dic101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265944 | 2 |
| #20265194 | 2 |
| #20265173 | 2 |
| #20265144 | 2 |
| #20264949 | 2 |
| #20264941 | 2 |
| #575×C101 | 2 |
| #1881 | 101 |