Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D587 |
| Fitting | C2×Q8×C587 ⋊ C2 |
| Sylow | C587 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9392 |
2950 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D587, #103×D587, #49177087, … |
| maximal normal subgroup of | #101×D587, #103×D587, #49177087, … |
| maximal quotient of | C2×C4⋊C4×D587, C4×Q8×D587, C2×#34037586, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 185);