Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10622321 |
| Fitting | C2×C11×#97 ⋊ C2 |
| Sylow | C11 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644300, #14644304, #14646633, … |
| maximal normal subgroup of | #14644300, #14644304, #14646633, … |
| maximal quotient of | C2×#13066895, C2×#13066901, C2×#13066902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12924);