Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15690878 |
| unambiguous semidirect product | D97⋊#106 |
| Fitting | C2×C8×C97 ⋊ C4 |
| Sylow | C97 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
412 conjugacy classes — view the full character table.
| maximal subgroup of | #27156801, #27156802, #27156807, … |
| maximal normal subgroup of | #27156801, #27156802, #27156807, … |
| maximal quotient of | C2×#20261596, #27157278, C2×#20261597, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1557);