Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22627618 |
| Fitting | C2×C42×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157152, #49157155, #49161333, … |
| maximal normal subgroup of | #49157152, #49157155, #49161333, … |
| maximal quotient of | C2×#34035997, C2×#34036013, C2×#34036020, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1074);