Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127455 |
| Sylow | C83 ⋊ C2×#336 |
528 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291354, #35291356, #336×Dic83, … |
| maximal normal subgroup of | #35291354, #35291356, #336×Dic83, … |
| maximal quotient of | C2×C83⋊#1273, #35293786, #35293787, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4200);