Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ #520 |
294 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,d^2=e,b^a=be,d^a=de,c^b=ce,g^b=g^180,g^c=g^180,g^d=g^1801834 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37542548, #37542552, #37542559, … |
| maximal normal subgroup of | #37542548, #37542552, #37542559, … |
| maximal quotient of | #37536075, #37536081, #37536086, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1031);