Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#6129 |
| Fitting | C8×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15772748, #15772758, #15772788, … |
| maximal normal subgroup of | #15772748, #15772758, #15772788, … |
| maximal quotient of | C8×#88131, C8×#88146, C8×#88135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13465);