Finite Group DatabasebetaFinite Group Databasebeta| order | 19168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#23751065 |
| Fitting | C2×Q8×C599 ⋊ C2 |
| Sylow | C599 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9584 |
3004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50305975, C4×#23751065, #50305988, … |
| maximal normal subgroup of | #50305975, C4×#23751065, #50305988, … |
| maximal quotient of | C2×#34062635, C2×#34062639, C2×#34062646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19168, 159);