Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16863235 |
| Fitting | C2×C32×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
2150 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30776409, C4×#16863235, #30776421, … |
| maximal normal subgroup of | #30776409, C4×#16863235, #30776421, … |
| maximal quotient of | C2×#22558388, C2×#22558391, C2×#22558411, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 6812);