Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763876 |
| unambiguous semidirect product | D17⋊#518 |
| Fitting | C22×D4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #17956747, #17956749, #17956765, … |
| maximal normal subgroup of | #17956747, #17956749, #17956765, … |
| maximal quotient of | C2×#14545220, C2×#14545222, C2×#14545223, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21487);