Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11763697 |
| Sylow | C17 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17948490, #17948496, #17948575, … |
| maximal normal subgroup of | #17948490, #17948496, #17948575, … |
| maximal quotient of | C2×#14543696, C2×#14543699, #17958042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20710);