Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152411 |
| Fitting | C22×Q16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36470117, #36470129, #36470158, … |
| maximal normal subgroup of | #36470117, #36470129, #36470158, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19273);