Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11762766 |
| Fitting | C2×C17×#97 ⋊ C2 |
| Sylow | C17 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16924851, #16924855, #16927184, … |
| maximal normal subgroup of | #16924851, #16924855, #16927184, … |
| maximal quotient of | C2×#14527063, C2×#14527069, C2×#14527070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12924);