Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C233 ⋊ #413 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3728 |
Polycyclic presentation:
2^6,233|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^232,e^b=ef2342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449932, #44449933, #44449938, … |
| maximal normal subgroup of | #44449932, #44449933, #44449938, … |
| maximal quotient of | #44450124, #44450128, #44450144, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 533);