Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D17×#418 |
| Fitting | C17×#418 ⋊ C2 |
| Sylow | C17 ⋊ C2×#418 |
1008 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1795, D17×#1883, #17035852, … |
| maximal normal subgroup of | D17×#1795, D17×#1883, #17035852, … |
| maximal quotient of | D17×#1478, D17×#1490, #17000762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13008);