Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4⋊C4×Dic17 |
| Sylow | C17 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #324×Dic17, #16924840, #16926983, … |
| maximal normal subgroup of | #324×Dic17, #16924840, #16926983, … |
| maximal quotient of | C2×#95×Dic17, C4×C4⋊C4×Dic17, C2×#14527009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6847);