Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#10622293 |
| Sylow | C11 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14649035, #14649037, #14652988, … |
| maximal normal subgroup of | #14649035, #14649037, #14652988, … |
| maximal quotient of | C2×#13068773, C2×#13069344, C2×#13069577, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 15009);