Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22⋊Q8×Dic83 |
| Sylow | C83 ⋊ C4×C22⋊Q8 |
656 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #328×Dic83, #35295295, #35295305, … |
| maximal normal subgroup of | #328×Dic83, #35295295, #35295305, … |
| maximal quotient of | #385×Dic83, #387×Dic83, #389×Dic83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7046);