Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C8×D4×D11 |
| Fitting | C8×D4×C11 ⋊ C2 |
| Sylow | C11 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×D4⋊C16, #14663478, #14663682, … |
| maximal normal subgroup of | D11×D4⋊C16, #14663478, #14663682, … |
| maximal quotient of | C8×D8×D11, C8×SD16×D11, C8×Q16×D11, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13179);