Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#88144 |
| Sylow | C13 ⋊ C4×#125 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15762906, #15762908, #15762911, … |
| maximal normal subgroup of | #15762906, #15762908, #15762911, … |
| maximal quotient of | C4×#11718316, C4×#11718315, C4×#11718646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7068);