Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| isoclinism | isoclinic class of D97 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C2 |
| direct product | C32×D97 |
| Fitting | C32×C97 ⋊ C2 |
| derived, Sylow | C97 ⋊ C2×C32 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C32 | D97 |
| commutator, hypocenter | C97 | C2×C32 |
| Frattini | C16 | C2×D97 |
| Fitting | C32×C97 | C2 |
| socle | C2×C97 | C2×C16 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C32 | |
34 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C64×D97, #27139946, C2×C32×D97, … |
| maximal normal subgroup of | C64×D97, #27139946, C2×C32×D97, … |
| maximal quotient of | C32×Dic97, #27139873, #27139931, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 380);