Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15690753 |
| Fitting | C2×Q16×C97 ⋊ C2 |
| Sylow | C97 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
694 conjugacy classes — view the full character table.
| maximal subgroup of | #27143585, C4×#15690753, #27143598, … |
| maximal normal subgroup of | #27143585, C4×#15690753, #27143598, … |
| maximal quotient of | C2×#20260535, C2×#20260539, C2×#20260562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 972);