Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#19128118 |
| Sylow | C83 ⋊ C2×#504 |
368 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35319502, #35319503, #35319508, … |
| maximal normal subgroup of | #35319502, #35319503, #35319508, … |
| maximal quotient of | C2×#24909060, C4×#19128118, C2×#24909077, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17609);