Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19127472 |
| Sylow | C83 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic83, C4×#19127472, #35309617, … |
| maximal normal subgroup of | #344×Dic83, C4×#19127472, #35309617, … |
| maximal quotient of | C2×#24905308, #35294035, #35294038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4252);