Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11762862 |
| Sylow | C17 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16923705, #16923706, #16923709, … |
| maximal normal subgroup of | #16923705, #16923706, #16923709, … |
| maximal quotient of | C2×#14528530, C2×C4×C22⋊#3622, C2×C4×C4⋊#3622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13126);