Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150223 |
| Sylow | C349 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36374236, C4×#19150223, #36374248, … |
| maximal normal subgroup of | #36374236, C4×#19150223, #36374248, … |
| maximal quotient of | C2×#26013562, C2×#26013563, C2×#26013572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 163);