Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #106×C293 ⋊ C2 |
| Sylow | C293 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^c=g^2922066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #428×D293, C2×#34036168, #49167372, … |
| maximal normal subgroup of | #428×D293, C2×#34036168, #49167372, … |
| maximal quotient of | #49157534, #49157549, #49157567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 588);