Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152222 |
| Fitting | C2×C4⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#542 |
1132 conjugacy classes of subgroups.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446951, #36559571, #36559575, … |
| maximal normal subgroup of | #36446951, #36559571, #36559575, … |
| maximal quotient of | C2×#26022860, C2×#26022891, C2×#26022899, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17891);