Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #95×C263 ⋊ C2 |
| Sylow | C263 ⋊ #327 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4208 |
Polycyclic presentation:
2^6,263|a^2=d,c^2=f,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^2622639 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D263, C2×#30681671, #46781231, … |
| maximal normal subgroup of | #327×D263, C2×#30681671, #46781231, … |
| maximal quotient of | #46780567, #46780571, #46780626, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 282);