Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic173 |
| Sylow | C173 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351409, #36351410, #36351415, … |
| maximal normal subgroup of | #36351409, #36351410, #36351415, … |
| maximal quotient of | C4×#19149586, #36351786, #36351790, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 397);