Finite Group DatabasebetaFinite Group DatabasebetaOrder 1472.
162 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 55 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×#67262 | C2 | semidirect |
| 3. C4⋊C4×D23 | C2 | semidirect |
| 4. C23×#103 | C2 | semidirect |
| 5. #10625017 | C2 | semidirect |
| 6. #10625003 | C2 | semidirect |
| 7. #10624991 | C2 | semidirect |
| 10. #67292 | C4 | semidirect |
| 25. Q8×C23 | C2×C4 | semidirect |
| 33. D92 | C2×C4 | semidirect |
| 63. #103 | D23 | semidirect |
| 66. C23 | #417 | semidirect |
| 84. Q8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#67292 | 2 |
| C2×#67262 | 2 |
| C4⋊C4×D23 | 2 |
| C23×#103 | 2 |
| #10625017 | 2 |
| #10625003 | 2 |
| #10624991 | 2 |
| #417 | 23 |