Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#88155 |
| Fitting | C2×C4×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15753592, #15753594, #15753597, … |
| maximal normal subgroup of | #15753592, #15753594, #15753597, … |
| maximal quotient of | C8×#88155, #15828528, #15828579, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12930);