Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#14556873 |
| Sylow | C293 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156627, #49156628, #49156631, … |
| maximal normal subgroup of | #49156627, #49156628, #49156631, … |
| maximal quotient of | C2×#34035853, C2×#34035855, #49157099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 510);