Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10622302 |
| Fitting | C2×C4×C8×C11 ⋊ C2 |
| Sylow | C11 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644302, #14644306, #14646631, … |
| maximal normal subgroup of | #14644302, #14644306, #14646631, … |
| maximal quotient of | C2×C8×#4313, C2×#13066898, C2×#13066904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12921);