Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
226 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 61 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. C2×#14273670 | C2 | semidirect |
| 3. #16837206 | C2 | semidirect |
| 4. C22⋊(C59⋊C16) | C2 | semidirect |
| 5. C22×Q16×C59 | C2 | semidirect |
| 27. Q16×C59 | D4 | semidirect |
| 54. C22×C59 | SD32 | semidirect |
| 70. C22×Q16 | D59 | semidirect |
| 75. C59 | #2185 | semidirect |
| 97. Q16 | C22⋊D59 | semidirect |
| 127. C22 | #14273670 | semidirect |