Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19151658 |
| Fitting | C2×C4⋊C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36463633, #36552571, C4×#19151658, … |
| maximal normal subgroup of | #36463633, #36552571, C4×#19151658, … |
| maximal quotient of | C2×#26020002, C2×#26020017, C2×#26020111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13135);