Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22627622 |
| Sylow | C293 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49159175, #49159176, #49159178, … |
| maximal normal subgroup of | #49159175, #49159176, #49159178, … |
| maximal quotient of | C2×#34035998, C2×#34036024, C2×#34036034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1091);