Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C22×#10587474 |
| Sylow | C17 ⋊ C22×#97 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#14526614, #16923745, C2×#14526628, … |
| maximal normal subgroup of | C2×#14526614, #16923745, C2×#14526628, … |
| maximal quotient of | C22×#11762531, C2×#14527071, C2×#14527076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12914);