Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22×#15667972 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×C4×D4 |
2528 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445763, #36445767, #36459847, … |
| maximal normal subgroup of | #36445763, #36445767, #36459847, … |
| maximal quotient of | C22×#19151445, C22×C22⋊C4×Dic89, C22×#19151449, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17678);