Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D173 |
| Fitting | C22×Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
1760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353485, #36353496, #391×D173, … |
| maximal normal subgroup of | #36353485, #36353496, #391×D173, … |
| maximal quotient of | C22×C4⋊C4×D173, C2×C4×Q8×D173, C22×#19149644, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1372);