Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#11924078 |
| Fitting | #41×C293 ⋊ C4 |
| Sylow | C293 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2344 |
770 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×#11924078, #49174550, #49174822, … |
| maximal normal subgroup of | #104×#11924078, #49174550, #49174822, … |
| maximal quotient of | #117×#11924078, C4×D4×#11924078, C4×Q8×#11924078, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1615);