Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×C22⋊D17 |
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17049671, #100×C22⋊D17, #17049679, … |
| maximal normal subgroup of | #17049671, #100×C22⋊D17, #17049679, … |
| maximal quotient of | M16×#63228, #17005752, M16×#63229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13244);