Finite Group DatabasebetaFinite Group Databasebeta| order | 2944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C23 ⋊ #1608 |
228 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^7,23|a^2=g,b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,h^a=h^22,d^b=df,e^b=eg,h^b=h^22,d^c=dg265 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 3503);