Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
228 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 6. #15692326 | C4 | direct (N × H) |
| 53. C4×C101 | #108 | semidirect |
| 57. Dic101 | #108 | semidirect |
| 64. C101 | C4×#108 | semidirect |
| 120. C4 | #15692326 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692326 | 2 |
| C4×#13108084 | 2 |
| #20266053 | 2 |
| C4×C8×D101 | 2 |
| C4×#108 | 101 |