Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C82 · Schur multiplier (H2) = C8 |
| direct product | C8×#11715906 |
| Fitting | C8×C97 ⋊ C8 |
| derived, Sylow | C97 ⋊ C82 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C8 | #11715906 |
| commutator, hypocenter | C97 | C82 |
| Frattini | C4 | C2×#11715906 |
| Fitting | C8×C97 | C8 |
| socle | C2×C97 | C4×C8 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C8 | |
74 conjugacy classes of subgroups.
160 conjugacy classes — view the full character table.
| maximal subgroup of | C16×#11715906, #27158751, #27158786, … |
| maximal normal subgroup of | C16×#11715906, #27158751, #27158786, … |
| maximal quotient of | (C2×#11715906)⋊C8, C16×#11715906, C8×#13095523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1632);