Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#17989786 |
| Sylow | C293 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49158478, #49158479, #49158481, … |
| maximal normal subgroup of | #49158478, #49158479, #49158481, … |
| maximal quotient of | C22×#22627535, C2×C4×#17989786, C22×C22⋊#14556873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1309);