Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#10587587 |
| Fitting | C2×C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16924997, #16924999, #16925002, … |
| maximal normal subgroup of | #16924997, #16924999, #16925002, … |
| maximal quotient of | C8×#10587587, #16999933, #16999984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12930);