Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of D208 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D208 |
| Fitting | C22×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15779975, #15779977, #15780010, … |
| maximal normal subgroup of | #15779975, #15779977, #15780010, … |
| maximal quotient of | C22×#11718101, C22×#11718096, C2×C4×D208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17616);