Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150242 |
| Sylow | C349 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
716 conjugacy classes — view the full character table.
| maximal subgroup of | #36375024, #36375025, C4×#19150242, … |
| maximal normal subgroup of | #36375024, #36375025, C4×#19150242, … |
| maximal quotient of | C2×#26013694, C4×#19150242, C2×C22⋊#14584102, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 230);