Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19151650 |
| Fitting | C2×C4⋊C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36443885, #36443888, #36443906, … |
| maximal normal subgroup of | #36443885, #36443888, #36443906, … |
| maximal quotient of | C2×#26019996, C2×#26020009, C2×C4⋊C8×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13125);