Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C22×#13095514 |
| derived, Sylow | C97 ⋊ C22×C16 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22×C4 | #87604 |
| commutator, hypocenter | C97 | C22×C16 |
| Frattini | C4 | C22×#87604 |
| Fitting | C22×C4×C97 | C4 |
| socle | C23×C97 | C8 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C22×C4 | |
98 conjugacy classes of subgroups.
448 conjugacy classes — view the full character table.
| maximal subgroup of | #27156774, #27156775, #27156790, … |
| maximal normal subgroup of | #27156774, #27156775, #27156790, … |
| maximal quotient of | C2×C4×#13095514, C2×C22⋊#13095514, C2×C4⋊#13095514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1602);