Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C179 ⋊ #441 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=e,b^2=f,c^2=e,d^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^178,g^c=g^1781268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510888, #37510890 |
| maximal normal subgroup of | #37510888, #37510890 |
| maximal quotient of | #37507818, #37507870, #37507908, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 655);