Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762731 |
| Fitting | C22×C4⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11762731, #16956181, #16959965, … |
| maximal normal subgroup of | C4×#11762731, #16956181, #16959965, … |
| maximal quotient of | C2×#14527026, C2×#14527028, C2×#14527030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7730);