Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic293 |
| Sylow | C293 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49158576, #100×Dic293, #49158580, … |
| maximal normal subgroup of | #49158576, #100×Dic293, #49158580, … |
| maximal quotient of | M16×#14556873, #49157066, #49157072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 500);