Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D293 |
| Fitting | #95×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D293, #328×D293, #49157286, … |
| maximal normal subgroup of | #327×D293, #328×D293, #49157286, … |
| maximal quotient of | #95×Dic293, #49157006, #49157013, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 392);