Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic346 |
| Sylow | C173 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351541, #36351543, C8×#14583814, … |
| maximal normal subgroup of | #36351541, #36351543, C8×#14583814, … |
| maximal quotient of | C8×C4⋊Dic173, C8×#14583805, #36354119, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 674);