Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#14581702 |
| Sylow | C83 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291261, C8×#14581702, #35293756, … |
| maximal normal subgroup of | #35291261, C8×#14581702, #35293756, … |
| maximal quotient of | C4×#19127422, C4×#19127423, C8×#14581702, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4194);