Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#10587569 |
| Fitting | C4×C22⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10587569, #17041288, #17041292, … |
| maximal normal subgroup of | C8×#10587569, #17041288, #17041292, … |
| maximal quotient of | C4×#11762685, C4×#11762702, C4×#11762703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7030);