Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×Dic13 |
| Sylow | C13 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15768347, #15768488, Dic13×#391, … |
| maximal normal subgroup of | #15768347, #15768488, Dic13×#391, … |
| maximal quotient of | C22×C4⋊C4×Dic13, C2×C4×Q8×Dic13, C22×#11718642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17686);