Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14581728 |
| Sylow | C83 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35291321, #35291322, #35291324, … |
| maximal normal subgroup of | #35291321, #35291322, #35291324, … |
| maximal quotient of | C4×#19127452, C4×#19127454, #35295593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4412);