Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150217 |
| Sylow | C349 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36373900, #36373902, #36373903, … |
| maximal normal subgroup of | #36373900, #36373902, #36373903, … |
| maximal quotient of | C2×#26013550, C4×#19150217, C2×C22⋊#14584095, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 151);