Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D67)⋊C8 |
| Fitting | C2×C22⋊C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30746371, #30746376, #30748724, … |
| maximal normal subgroup of | #30746371, #30746376, #30748724, … |
| maximal quotient of | C2×#22559001, C2×#22559006, C2×#22559012, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13180);