Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22⋊C4×Dic26 |
| Sylow | C13 ⋊ Q8×C22⋊C4 |
820 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15759358, #15759362, #15759386, … |
| maximal normal subgroup of | #15759358, #15759362, #15759386, … |
| maximal quotient of | C22⋊C4×C4⋊Dic13, C22⋊C4×#6101, #95×Dic26, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7345);