Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
260 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 54 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. D101⋊#101 | C2 | semidirect |
| 2. #20266086 | C2 | semidirect |
| 3. #20266085 | C2 | semidirect |
| 7. #15692316 | C22 | semidirect |
| 86. D101 | #355 | semidirect |
| 88. C101 | C2×#355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D101⋊#101 | 2 |
| #20266086 | 2 |
| #20266085 | 2 |
| #124×D101 | 2 |
| C2×#355 | 101 |