Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627813 |
| Sylow | C587 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9392 |
4708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49176836, C587⋊#338, #49176839, … |
| maximal normal subgroup of | #49176836, C587⋊#338, #49176839, … |
| maximal quotient of | C2×#34037532, C4×#22627813, C2×C22⋊(C587⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 151);