Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
154 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20265528 | C2 | semidirect |
| 4. #20264928 | C2 | semidirect |
| 5. #20264925 | C2 | semidirect |
| 6. #20264924 | C2 | semidirect |
| 76. C101 | #1703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265528 | 2 |
| #20265467 | 2 |
| #20265457 | 2 |
| #20264928 | 2 |
| #20264925 | 2 |
| #20264924 | 2 |
| #436×C101 | 2 |
| #1703 | 101 |