Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D4208 |
| Fitting | C2×C16×C263 ⋊ C2 |
| Sylow | C263 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4214 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780924, #46780926, #46780936, … |
| maximal normal subgroup of | #46780924, #46780926, #46780936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 970);