Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #431×C83 ⋊ C2 |
| Sylow | C83 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,83|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^c=h^821720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35295109, #35295111, #35295116, … |
| maximal normal subgroup of | #35295109, #35295111, #35295116, … |
| maximal quotient of | #35402605, #35402610, C4×(C22⋊D83)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13466);