Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C16×Dic166 |
| Sylow | C83 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291880, #35291882, C16×#13050578, … |
| maximal normal subgroup of | #35291880, #35291882, C16×#13050578, … |
| maximal quotient of | C16×C4⋊Dic83, C16×Dic83⋊C4, #35322018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6413);