Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #41×Dic166 |
| Sylow | C83 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
1690 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35296446, #35296450, #35371279, … |
| maximal normal subgroup of | #35296446, #35296450, #35371279, … |
| maximal quotient of | #41×Dic83⋊C4, #41×C4⋊Dic83, #117×Dic166, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 18090);