Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22627613 |
| Fitting | C22×Q8×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49159170, #49159186, #49159188, … |
| maximal normal subgroup of | #49159170, #49159186, #49159188, … |
| maximal quotient of | C2×#34035994, C2×#34036019, C2×#34036030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1067);