Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic83 |
| Sylow | C83 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#103×D83, C2×#103×Dic83, C4×#19127696, … |
| maximal normal subgroup of | C4×#103×D83, C2×#103×Dic83, C4×#19127696, … |
| maximal quotient of | Q8⋊C8×Dic83, #35295033, #35295038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4332);