Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19127832 |
| Sylow | C83 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35294992, #35294994, #35295232, … |
| maximal normal subgroup of | #35294992, #35294994, #35295232, … |
| maximal quotient of | C2×#24907338, C2×#24907332, C4×#19127832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13438);