Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19151438 |
| Sylow | C89 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
1006 conjugacy classes — view the full character table.
| maximal subgroup of | #36475011, C4×#19151438, #36475023, … |
| maximal normal subgroup of | #36475011, C4×#19151438, #36475023, … |
| maximal quotient of | C2×#26018432, C2×#26018433, C2×#26018451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6814);