Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11763692 |
| Fitting | C2×M16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11763692, #17956654, #17956709, … |
| maximal normal subgroup of | C4×#11763692, #17956654, #17956709, … |
| maximal quotient of | C2×#14543623, #17950590, #17950593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20221);