Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14583809 |
| Fitting | C22×C8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353255, #36353258, #36353281, … |
| maximal normal subgroup of | #36353255, #36353258, #36353281, … |
| maximal quotient of | C22×#19149589, C2×C4×#14583809, C22×#19149591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1308);