Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19149698 |
| Fitting | C2×D8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355267, #36355272, #36355309, … |
| maximal normal subgroup of | #36355267, #36355272, #36355309, … |
| maximal quotient of | C2×#26011484, C2×#26011528, C2×D8×Dic173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1328);