Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | #380×D83 |
| Fitting | #380×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1289×D83, #35294286, #1294×D83, … |
| maximal normal subgroup of | #1289×D83, #35294286, #1294×D83, … |
| maximal quotient of | C22⋊#95×D83, #1434×D83, C4⋊#95×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6879);