Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1844 |
| Sylow | C461 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14752 |
3694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441879, #44441881, #44441891, … |
| maximal normal subgroup of | #44441879, #44441881, #44441891, … |
| maximal quotient of | C2×#28414043, C2×#28414052, C4×Dic1844, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 164);