Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#67004 |
| Sylow | C11 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14648388, #14648390, #14648402, … |
| maximal normal subgroup of | #14648388, #14648390, #14648402, … |
| maximal quotient of | C8×#67004, #14723365, #14723391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13327);