Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #520 |
294 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,d^2=e,b^a=be,d^a=de,c^b=ce,g^b=g^172,g^c=g^172,g^d=g^1721754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36362390, #36362394, #36362401, … |
| maximal normal subgroup of | #36362390, #36362394, #36362401, … |
| maximal quotient of | #36355917, #36355923, #36355928, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1031);