Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C179 ⋊ #364 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,b^2=c,c^2=f,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^1782876 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37506973, #37506974, #37506976, … |
| maximal normal subgroup of | #37506973, #37506974, #37506976, … |
| maximal quotient of | #37507064, #37507070, #37507082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 370);