Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×C83⋊#95 |
| Sylow | C83 ⋊ C4×#95 |
752 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35290935, #35290962, #35290964, … |
| maximal normal subgroup of | #35290935, #35290962, #35290964, … |
| maximal quotient of | #35292323, #35292324, C4×#19127455, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 2730);