Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#10587567 |
| Fitting | C4×C22⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C42×D4 |
924 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10587567, #17032667, #17032672, … |
| maximal normal subgroup of | C8×#10587567, #17032667, #17032672, … |
| maximal quotient of | C4×#11762656, C4×C22⋊C4×Dic17, C4×#11762660, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6854);