Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14524063 |
| Fitting | C4×#41×C67 ⋊ C2 |
| Sylow | C67 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
1376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30825205, C8×#14524063, #30825233, … |
| maximal normal subgroup of | #30825205, C8×#14524063, #30825233, … |
| maximal quotient of | C8×#14524063, #30825358, #30825362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13280);