Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C179 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^c=g^1781820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507799, #37507803, #37507804, … |
| maximal normal subgroup of | #37507799, #37507803, #37507804, … |
| maximal quotient of | #37508861, #37508865, #37509554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 673);