Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#41×D89 |
| Fitting | C4×#41×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1476×D89, #1477×D89, #36520799, … |
| maximal normal subgroup of | #1476×D89, #1477×D89, #36520799, … |
| maximal quotient of | C4×#117×D89, C42×D4×D89, C42×Q8×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17687);