Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11763772 |
| Fitting | C22×C8×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17956603, #17956604, #17956627, … |
| maximal normal subgroup of | #17956603, #17956604, #17956627, … |
| maximal quotient of | C2×C8×#63247, C8×D17⋊M16, C2×C8×#63243, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21068);