Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16863358 |
| Fitting | C2×C22⋊C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
1376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30745429, #30745435, #30745441, … |
| maximal normal subgroup of | #30745429, #30745435, #30745441, … |
| maximal quotient of | C2×#22558534, C2×#22558537, C2×#22558540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 12944);