Finite Group DatabasebetaFinite Group Databasebeta| order | 19168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#23751068 |
| Sylow | C599 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19168 |
3004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50305982, C4×#23751068, #50305994, … |
| maximal normal subgroup of | #50305982, C4×#23751068, #50305994, … |
| maximal quotient of | C2×#34062638, C2×#34062639, C2×#34062648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19168, 163);