Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16862360 |
| Sylow | C263 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780583, #46780584, #46780596, … |
| maximal normal subgroup of | #46780583, #46780584, #46780596, … |
| maximal quotient of | C8×#16862360, #46781036, #46781044, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 502);