Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2348 |
| Fitting | C42×C587 ⋊ C2 |
| Sylow | C587 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9392 |
4708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49176807, #49176809, #49177145, … |
| maximal normal subgroup of | #49176807, #49176809, #49177145, … |
| maximal quotient of | C4×(C2×D587)⋊C4, C4×C4⋊Dic587, #49176954, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 110);