Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#13050590 |
| Fitting | C2×C4×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14581720, C8×#14581718, #35295119, … |
| maximal normal subgroup of | C8×#14581720, C8×#14581718, #35295119, … |
| maximal quotient of | C8×#14581751, C8×#14581749, C4×C8×C22⋊D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13467);