Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C4⋊Q8×D173 |
| Fitting | C4⋊Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D173, #333×D173, #36352233, … |
| maximal normal subgroup of | #332×D173, #333×D173, #36352233, … |
| maximal quotient of | #384×D173, #389×D173, #391×D173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1090);