Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
384 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 103 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×#20263888 | C2 | semidirect |
| 3. C2×#20263877 | C2 | semidirect |
| 4. C2×C8×Dic199 | C2 | semidirect |
| 5. #27163921 | C2 | semidirect |
| 6. #27163919 | C2 | semidirect |
| 7. C2×#102×C199 | C2 | semidirect |
| 11. C2×#15691871 | C4 | semidirect |
| 70. C2×Dic199 | D8 | semidirect |
| 71. C199⋊C8 | C22⋊C4 | semidirect |
| 120. C199 | #1970 | semidirect |
| 125. C2×#102 | D199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#15691871 | 2 |
| C2×#20263888 | 2 |
| C2×#20263877 | 2 |
| C2×C8×Dic199 | 2 |
| #27163921 | 2 |
| #27163919 | 2 |
| C2×#102×C199 | 2 |
| #1970 | 199 |