Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| isoclinism | isoclinic class of D89 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C8×D89 |
| Fitting | C2×C4×C8×C89 ⋊ C2 |
| derived, Sylow | C89 ⋊ C22×C4×C8 |
760 conjugacy classes of subgroups.
2944 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1273×D89, #36443808, #36443812, … |
| maximal normal subgroup of | #1273×D89, #36443808, #36443812, … |
| maximal quotient of | C2×C82×D89, C2×#322×D89, C8×M16×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12909);