Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| isoclinism | isoclinic class of #87604 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C4 |
| direct product | C16×#87604 |
| Fitting | C16×C97 ⋊ C4 |
| derived, Sylow | C97 ⋊ C4×C16 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C16 | #87604 |
| commutator, hypocenter | C97 | C4×C16 |
| Frattini | C8 | C2×#87604 |
| Fitting | C16×C97 | C4 |
| socle | C2×C97 | C4×C8 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C16 | |
58 conjugacy classes of subgroups.
448 conjugacy classes — view the full character table.
| maximal subgroup of | C32×#87604, #27156842, C2×C16×#87604, … |
| maximal normal subgroup of | C32×#87604, #27156842, C2×C16×#87604, … |
| maximal quotient of | C16×#11715897, #27156650, #27156773, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1433);