Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#10587500 |
| Sylow | C17 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16951399, #16951400, #16951402, … |
| maximal normal subgroup of | #16951399, #16951400, #16951402, … |
| maximal quotient of | C22×#11762612, C22×#11762613, C22×#11762634, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17622);