Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11762635 |
| Sylow | C17 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16922024, #16922025, #16922042, … |
| maximal normal subgroup of | #16922024, #16922025, #16922042, … |
| maximal quotient of | C2×#14526856, #16945966, #16946005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6287);