Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10623021 |
| Fitting | C22×C11×C22⋊C4 ⋊ C2 |
| Sylow | C11 ⋊ C2×#546 |
1900 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #14719953, #14719959, #14720033, … |
| maximal normal subgroup of | #14719953, #14719959, #14720033, … |
| maximal quotient of | C2×C22⋊C4×C22⋊D11, C2×#13071443, C2×#13071459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 17955);