Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#10587670 |
| Sylow | C17 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #17982380, #17982383, C2×#14545860, … |
| maximal normal subgroup of | #17982380, #17982383, C2×#14545860, … |
| maximal quotient of | C22×#11763903, C2×C4×#10587670, C22×C22⋊#63241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21757);