Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | #376×D83 |
| Fitting | #376×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1274×D83, #35293804, #1300×D83, … |
| maximal normal subgroup of | #1274×D83, #35293804, #1300×D83, … |
| maximal quotient of | C4×#95×D83, C4×#19127546, #376×Dic83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6835);