Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C233 ⋊ #324 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^232,d^b=de2342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449741, #44449742, #44449743, … |
| maximal normal subgroup of | #44449741, #44449742, #44449743, … |
| maximal quotient of | #44449633, #44449653, #44449750, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 275);