Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×Dic22 |
| Sylow | C11 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #14648107, #14648111, #14648121, … |
| maximal normal subgroup of | #14648107, #14648111, #14648121, … |
| maximal quotient of | M16×C4⋊Dic11, M16×Dic11⋊C4, #14752422, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13463);