Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D293 |
| Fitting | C2×Q16×C293 ⋊ C2 |
| Sylow | C293 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D293, #49160503, #362×D293, … |
| maximal normal subgroup of | #358×D293, #49160503, #362×D293, … |
| maximal quotient of | C2×#103×D293, C2×#107×D293, C4×Q16×D293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1324);