Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #100×C179 ⋊ C2 |
| Sylow | C179 ⋊ #453 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^178,d^b=df,e^b=ef,g^b=g^178,d^c=df995 conjugacy classes — view the full character table.
| maximal subgroup of | #37510985, #37510997, #37511008, … |
| maximal normal subgroup of | #37510985, #37510997, #37511008, … |
| maximal quotient of | #37507920, #37507925, #37507948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 719);