Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#4318 |
| Sylow | C11 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #14648099, #14648103, #14648113, … |
| maximal normal subgroup of | #14648099, #14648103, #14648113, … |
| maximal quotient of | D8×#4318, #14725204, SD16×#4318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13247);