Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#11718622 |
| Fitting | C22×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ C2×#394 |
1252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15784711, C4×#11718622, #15788226, … |
| maximal normal subgroup of | #15784711, C4×#11718622, #15788226, … |
| maximal quotient of | C2×#13113075, C2×#13113081, C2×#13113082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7715);