Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#11924078 |
| Fitting | Q16×C293 ⋊ C4 |
| Sylow | C293 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
539 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×#11924078, Q32×#11924078, #49175181, … |
| maximal normal subgroup of | SD32×#11924078, Q32×#11924078, #49175181, … |
| maximal quotient of | Q16×#14556880, #49174372, #49174373, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1587);