Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#22627531 |
| Sylow | C293 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156627, #49156663, #49156665, … |
| maximal normal subgroup of | #49156627, #49156663, #49156665, … |
| maximal quotient of | C4×#22627531, #49157007, #49157008, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 393);