Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16863414 |
| Fitting | C2×#117×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30761292, #30761294, #30761299, … |
| maximal normal subgroup of | #30761292, #30761294, #30761299, … |
| maximal quotient of | C2×#22558601, C2×#22558605, C2×#22558597, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13053);