Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D17×#410 |
| Fitting | C17×#410 ⋊ C2 |
| Sylow | C17 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1391, #16949280, D17×#1395, … |
| maximal normal subgroup of | D17×#1391, #16949280, D17×#1395, … |
| maximal quotient of | D17×#1458, D17×#1460, D17×#1461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12964);