Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic586 |
| Sylow | C293 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157055, #49158708, #49158719, … |
| maximal normal subgroup of | #49157055, #49158708, #49158719, … |
| maximal quotient of | C23×#17989781, C23×C4⋊Dic293, C22×C4×Dic586, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1373);