Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C587 ⋊ C2 |
| Sylow | C587 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4696 |
Polycyclic presentation:
2^5,587|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^5862941 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D587, C2×#34037535, #49177052, … |
| maximal normal subgroup of | #99×D587, C2×#34037535, #49177052, … |
| maximal quotient of | #49176803, #49176805, #49176813, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 60);