Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16863471 |
| Fitting | C2×C22⋊C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
1376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30765152, #30854162, #30854163, … |
| maximal normal subgroup of | #30765152, #30854162, #30854163, … |
| maximal quotient of | C2×#22559091, C2×#22559096, C2×#22559102, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13194);