Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19127665 |
| Sylow | C83 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35294003, #35294004, #35294009, … |
| maximal normal subgroup of | #35294003, #35294004, #35294009, … |
| maximal quotient of | C2×#24905790, C2×#24905793, C2×#24905797, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12946);