Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 54. C8×C101 | Q16 | semidirect |
| 71. C101 | #1692 | semidirect |
| 127. C8 | #13108064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265575 | 2 |
| #20265472 | 2 |
| #20265387 | 2 |
| #20264930 | 2 |
| #20264925 | 2 |
| #20264922 | 2 |
| #446×C101 | 2 |
| #1692 | 101 |