Finite Group DatabasebetaFinite Group Databasebeta| order | 19168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#23751062 |
| Sylow | C599 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9584 |
4804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50305646, C599⋊#338, #50305649, … |
| maximal normal subgroup of | #50305646, C599⋊#338, #50305649, … |
| maximal quotient of | C2×#34062626, C4×#23751062, C2×C22⋊(C599⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19168, 151);