Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C179 ⋊ C2 |
| Sylow | C179 ⋊ #393 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^1781802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507950, #37507955, #37507977, … |
| maximal normal subgroup of | #37507950, #37507955, #37507977, … |
| maximal quotient of | #37507242, #37507259, #37507271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 460);