Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D1052 |
| Fitting | C4×C8×C263 ⋊ C2 |
| Sylow | C263 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780701, #46780703, C8×#16862361, … |
| maximal normal subgroup of | #46780701, #46780703, C8×#16862361, … |
| maximal quotient of | C8×D2104, C8×#16862365, C8×Dic1052, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 616);