Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762791 |
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939660, #16939663, #16939670, … |
| maximal normal subgroup of | #16939660, #16939663, #16939670, … |
| maximal quotient of | C2×#14527096, C2×#14527100, #17000135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12983);