Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19128311 |
| Sylow | C83 ⋊ C2×#541 |
1004 conjugacy classes of subgroups.
1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35296917, #35409556, #35409560, … |
| maximal normal subgroup of | #35296917, #35409556, #35409560, … |
| maximal quotient of | C2×#24910070, C2×#24910108, C2×#24910110, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17876);