Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic664 |
| Sylow | C83 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
2668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291856, #35291858, #35291862, … |
| maximal normal subgroup of | #35291856, #35291858, #35291862, … |
| maximal quotient of | C8×Dic664, #35316322, #35316396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6370);