Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD16×D587 |
| Fitting | SD16×C587 ⋊ C2 |
| Sylow | C587 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4696 |
2065 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×SD16×D587, #135×D587, AGL(1,ℤ/8)×D587, … |
| maximal normal subgroup of | C2×SD16×D587, #135×D587, AGL(1,ℤ/8)×D587, … |
| maximal quotient of | #102×D587, #103×D587, #106×D587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 158);