Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C179 ⋊ #343 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,g^a=g^178,d^b=df1802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507003, #37507004, #37507006, … |
| maximal normal subgroup of | #37507003, #37507004, #37507006, … |
| maximal quotient of | #37506843, #37506850, #37506856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 318);