Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic83 |
| Sylow | C83 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D83, C2×#102×Dic83, C4×#19127694, … |
| maximal normal subgroup of | C4×#102×D83, C2×#102×Dic83, C4×#19127694, … |
| maximal quotient of | D4⋊C8×Dic83, #35295028, #35295043, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 4327);