Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127818 |
| Sylow | C83 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35319641, #35319643, #35319648, … |
| maximal normal subgroup of | #35319641, #35319643, #35319648, … |
| maximal quotient of | C2×D8×C83⋊C8, C2×SD16×C83⋊C8, C2×Q16×C83⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13400);