Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#10587562 |
| Fitting | C22×C42×C17 ⋊ C2 |
| Sylow | C17 ⋊ C22×#126 |
1320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925686, #16958846, #16958850, … |
| maximal normal subgroup of | #16925686, #16958846, #16958850, … |
| maximal quotient of | C22×#11762677, C22×#11762693, C22×#11762700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17766);