Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11762885 |
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16952497, #17032658, #17032661, … |
| maximal normal subgroup of | #16952497, #17032658, #17032661, … |
| maximal quotient of | C2×#14527667, C2×#14527672, C2×#14527674, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13195);