Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C233 ⋊ #334 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
Polycyclic presentation:
2^6,233|a^2=d,b^2=c,c^2=e,d^2=f,b^a=bc,c^a=ce,g^b=g^2322348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #334×D233, C2×#28416185, #44450556, … |
| maximal normal subgroup of | #334×D233, C2×#28416185, #44450556, … |
| maximal quotient of | #44449644, #44449873, #44449875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 299);