Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#17989811 |
| Sylow | C293 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49174448, #49174451, C2×#34037009, … |
| maximal normal subgroup of | #49174448, #49174451, C2×#34037009, … |
| maximal quotient of | C22×#22627679, C2×C4×#17989811, C22×C22⋊#14556880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1621);