Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19149747 |
| unambiguous semidirect product | D173⋊#106 |
| Fitting | C2×C8×C173 ⋊ C4 |
| Sylow | C173 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
716 conjugacy classes — view the full character table.
| maximal subgroup of | #36368628, #36368629, #36368634, … |
| maximal normal subgroup of | #36368628, #36368629, #36368634, … |
| maximal quotient of | C2×#26012352, D173⋊#334, C2×#26012353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1557);