Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22554410 |
| Sylow | C263 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780826, #46780827, #46780828, … |
| maximal normal subgroup of | #46780826, #46780827, #46780828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 964);