Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | #386×D83 |
| Fitting | #386×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1390×D83, #35320641, #1790×D83, … |
| maximal normal subgroup of | #1390×D83, #35320641, #1790×D83, … |
| maximal quotient of | C22⋊#95×D83, #1436×D83, #1437×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6924);