Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#19127581 |
| Sylow | C83 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309747, #35309749, #35310869, … |
| maximal normal subgroup of | #35309747, #35309749, #35310869, … |
| maximal quotient of | C2×#24905685, C2×#24905695, C2×#24905700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6929);