Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C103 ⋊ C2 |
| Sylow | C103 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^102,d^b=df,g^b=g^1021660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27194980, #27194981, #27194987, … |
| maximal normal subgroup of | #27194980, #27194981, #27194987, … |
| maximal quotient of | #27193527, #27193553, #27193579, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 546);