Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D173 |
| Fitting | #95×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
1760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D173, #328×D173, #36352064, … |
| maximal normal subgroup of | #327×D173, #328×D173, #36352064, … |
| maximal quotient of | #95×Dic173, #36351784, #36351791, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 392);