Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C461 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14752 |
Polycyclic presentation:
2^5,461|a^2=d,b^2=c,d^2=e,b^a=bc,f^b=f^4603700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C8×D461, C2×#28414047, #44442098, … |
| maximal normal subgroup of | C4⋊C8×D461, C2×#28414047, #44442098, … |
| maximal quotient of | #44441826, #44441828, #44441830, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 75);