Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14524075 |
| Fitting | C4×Q16×C67 ⋊ C2 |
| Sylow | C67 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
968 conjugacy classes — view the full character table.
| maximal subgroup of | #30825253, C8×#14524075, #30825275, … |
| maximal normal subgroup of | #30825253, C8×#14524075, #30825275, … |
| maximal quotient of | C8×#14524075, #30825426, #30825446, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13330);