Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#10587502 |
| Sylow | C17 ⋊ C4×#95 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16920855, #16920882, #16920884, … |
| maximal normal subgroup of | #16920855, #16920882, #16920884, … |
| maximal quotient of | #16922243, #16922244, C4×#11762563, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2730);