Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11762584 |
| Sylow | C17 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16922012, #16922016, #346×Dic17, … |
| maximal normal subgroup of | #16922012, #16922016, #346×Dic17, … |
| maximal quotient of | C2×#14526700, C2×#14526703, #16943343, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6099);