Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #97×C179 ⋊ C2 |
| Sylow | C179 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^178,d^b=df,g^b=g^1781802 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510898, #37510900 |
| maximal normal subgroup of | #37510898, #37510900 |
| maximal quotient of | #37507825, #37507866, #37507915, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 662);