Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622757 |
| Fitting | C2×C11×#131 ⋊ C2 |
| Sylow | C11 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14670647, #14670648, #14670650, … |
| maximal normal subgroup of | #14670647, #14670648, #14670650, … |
| maximal quotient of | C2×C8×#4323, C2×C8×#4324, C2×C8×#4325, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13398);