Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627818 |
| Fitting | C2×C8×C587 ⋊ C2 |
| Sylow | C587 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9392 |
4702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49177167, C4×#22627818, #49177179, … |
| maximal normal subgroup of | #49177167, C4×#22627818, #49177179, … |
| maximal quotient of | C2×#34037543, C2×#34037546, C2×#34037553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 161);