Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #127×C293 ⋊ C2 |
| Sylow | C293 ⋊ #453 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2344 |
Polycyclic presentation:
2^6,293|d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^292,d^c=df2060 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156929, #49156931, #49160769, … |
| maximal normal subgroup of | #49156929, #49156931, #49160769, … |
| maximal quotient of | #49157702, #49157707, #49157729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 716);