Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#16814779 |
| Sylow | C461 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=d,d^2=e,b^a=bc,f^a=f^4603700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441799, #44441800, #44441801, … |
| maximal normal subgroup of | #44441799, #44441800, #44441801, … |
| maximal quotient of | #44441800, #44441802, D4⋊#16814779, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 59);