Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic263 |
| Sylow | C263 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780593, #46780594, #46780599, … |
| maximal normal subgroup of | #46780593, #46780594, #46780599, … |
| maximal quotient of | C4×C263⋊#95, #46780970, #46780974, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 397);