Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×(C2×D263)⋊C4 |
| Fitting | C23×C4×C263 ⋊ C2 |
| Sylow | C263 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780968, #46780983, #46780985, … |
| maximal normal subgroup of | #46780968, #46780983, #46780985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 996);