Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
592 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10624998 | C2 | semidirect |
| 3. C2×#10625017 | C2 | semidirect |
| 4. C2×#10624992 | C2 | semidirect |
| 7. C2×C23×#103 | C2 | semidirect |
| 14. C2×Q8×D23 | C4 | semidirect |
| 87. Q8×C23 | C22⋊C4 | semidirect |
| 118. Dic46 | C22⋊C4 | semidirect |
| 135. C2×D23 | #103 | semidirect |
| 149. C2×#103 | D23 | semidirect |
| 182. C23 | #1787 | semidirect |
| 245. Q8 | (C2×D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×D23 | 2 |
| C2×#10624998 | 2 |
| C2×#10625017 | 2 |
| C2×#10624992 | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| #13092274 | 2 |
| C2×C23×#103 | 2 |
| #1787 | 23 |