Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19127443 |
| Sylow | C83 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
1186 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19127443, #330×Dic83, #35295330, … |
| maximal normal subgroup of | C4×#19127443, #330×Dic83, #35295330, … |
| maximal quotient of | C2×#24905286, #35292376, #35292630, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 3094);