Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151713 |
| Fitting | C2×#131×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471302, #36471303, #36471305, … |
| maximal normal subgroup of | #36471302, #36471303, #36471305, … |
| maximal quotient of | C2×C8×#13083559, C2×C8×#13083562, C2×C8×#13083561, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13398);