Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127823 |
| Sylow | C83 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35319698, #35319700, #35319705, … |
| maximal normal subgroup of | #35319698, #35319700, #35319705, … |
| maximal quotient of | C2×SD16⋊(C83⋊C8), C2×#24906282, C2×#24906287, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13406);