Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19149678 |
| Sylow | C173 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36354509, #36354513, #36354522, … |
| maximal normal subgroup of | #36354509, #36354513, #36354522, … |
| maximal quotient of | C2×#26011360, C2×#26011387, C2×#26011388, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1092);