Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#15668058 |
| Fitting | C4×#41×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×H(5,𝔽2) |
1660 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445825, #36445828, #36520806, … |
| maximal normal subgroup of | #36445825, #36445828, #36520806, … |
| maximal quotient of | C4×#19152070, C4×#19152072, C4×#19152078, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17717);