Finite Group DatabasebetaFinite Group Databasebeta| order | 19168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2396 |
| Sylow | C599 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19168 |
4798 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50305693, #50305695, #50305705, … |
| maximal normal subgroup of | #50305693, #50305695, #50305705, … |
| maximal quotient of | C2×#34062640, C2×#34062649, C4×Dic2396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19168, 164);