Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#15667944 |
| Sylow | C89 ⋊ C22×#106 |
600 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36460322, #36460324, #36460332, … |
| maximal normal subgroup of | #36460322, #36460324, #36460332, … |
| maximal quotient of | C22×#19151349, C2×#26019008, C2×#26019023, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13082);