Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152401 |
| Fitting | C2×H(5,𝔽2)×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
1540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36570327, #36570330, #36570354, … |
| maximal normal subgroup of | #36570327, #36570330, #36570354, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19261);