Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22627624 |
| Sylow | C293 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#34035874, C2×#34035876, C2×#34035877, … |
| maximal normal subgroup of | C2×#34035874, C2×#34035876, C2×#34035877, … |
| maximal quotient of | C2×#34035999, C2×#34036027, C2×#34036035, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1093);