Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #41×Dic22 |
| Sylow | C11 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #14645815, #14645819, #14720648, … |
| maximal normal subgroup of | #14645815, #14645819, #14720648, … |
| maximal quotient of | #41×Dic11⋊C4, #41×C4⋊Dic11, #117×Dic22, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 18090);