Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627699 |
| Sylow | C293 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173825, #49173837, #49173856, … |
| maximal normal subgroup of | #49173825, #49173837, #49173856, … |
| maximal quotient of | C2×#34037018, C4×#22627699, C2×#34037024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1606);