Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C263⋊C8) |
| Sylow | C263 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780589, #46780590, #46780593, … |
| maximal normal subgroup of | #46780589, #46780590, #46780593, … |
| maximal quotient of | C2×#30681662, C2×#30681664, #46781061, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 510);