Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19127829 |
| Sylow | C83 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35322941, #35403015, #35403016, … |
| maximal normal subgroup of | #35322941, #35403015, #35403016, … |
| maximal quotient of | C2×#24907335, C2×#24907339, C2×#24907331, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13435);