Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#66960 |
| Fitting | C4×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644444, #14644449, #14644454, … |
| maximal normal subgroup of | #14644444, #14644449, #14644454, … |
| maximal quotient of | C8×#66960, #14719386, #14719436, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12934);