Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic346 |
| Sylow | C173 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351833, #36353486, #36353497, … |
| maximal normal subgroup of | #36351833, #36353486, #36353497, … |
| maximal quotient of | C23×#14583805, C23×C4⋊Dic173, C22×C4×Dic346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1373);