Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C263 ⋊ M64 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^2624232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780882, #46780883, #46780886, … |
| maximal normal subgroup of | #46780882, #46780883, #46780886, … |
| maximal quotient of | #46780881, #46780885, #46780943 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 383);