Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#4341 |
| Fitting | C8×D4×C11 ⋊ C2 |
| Sylow | C11 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14663602, #14663612, #14663642, … |
| maximal normal subgroup of | #14663602, #14663612, #14663642, … |
| maximal quotient of | C8×#66930, C8×#66945, C8×(C22⋊D11)⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13465);