Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#13050577 |
| Fitting | C23×Q8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35311205, #35311209, #35311232, … |
| maximal normal subgroup of | #35311205, #35311209, #35311232, … |
| maximal quotient of | C23×#14581712, C23×#14581716, C23×#14581723, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19228);