Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627570 |
| Sylow | C293 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
2066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49160641, C4×#22627570, #49160653, … |
| maximal normal subgroup of | #49160641, C4×#22627570, #49160653, … |
| maximal quotient of | C2×#34035932, C2×#34035933, C2×#34035954, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 976);