Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
340 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#15692188 | C2 | semidirect |
| 3. C2×#15692179 | C2 | semidirect |
| 5. C2×#15692166 | C2 | semidirect |
| 7. #391×C101 | C2 | semidirect |
| 11. C2×#13108061 | C4 | semidirect |
| 87. #11717579 | C22⋊C4 | semidirect |
| 113. C101 | #1973 | semidirect |
| 119. #391 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108061 | 2 |
| C2×#15692188 | 2 |
| C2×#15692179 | 2 |
| C2×#15692175 | 2 |
| C2×#15692166 | 2 |
| #20265079 | 2 |
| #391×C101 | 2 |
| #1973 | 101 |