Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D293 |
| Fitting | #106×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D293, #365×D293, C2×#106×D293, … |
| maximal normal subgroup of | #360×D293, #365×D293, C2×#106×D293, … |
| maximal quotient of | #334×D293, #49157539, #49157554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 578);