Finite Group Databasebeta

← Group #267642

Character table — Group #267642

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444888888888888888161616161616161616161616161616161616161632
order12222244444444444444444488888888444444448888888888884
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1
χ511111111111111111111-1-1-1-111-1-111111-11-1-1-1111-1111-1-1-1-1-11-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-111-111
χ711111111111111111111-1-1-1-1-1-1111111-11-11-1-111-11-1-1-1111-1-1-11-1
χ811111111111111111111-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1-11-1-1-1-1111111-11
χ9111111111111-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1
χ10111111111111-1-1111-1-1-111111111-1-1-1-11111-1-111-1-11-1-11-1-1-1-1-1-11
χ11111111111111-1-1111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-1-1
χ12111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1111
χ13111111111111-1-1111-1-1-1-1-1-1-111-1-11111-11-1111-1-11-11-1-1-111-1-11-11
χ14111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-111-1-1-11111-11-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111111-11-111-1-1-11-1111-1-1-1-1-111
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1111111-1-1111-1-1111-1-1
χ1722222222-222-200-2-2-200022-2-2222200000000000000-200-20000000
χ1822222222-222-200-2-2-200022-2-2-2-2-2-20000000000000020020000000
χ1922222222-222-200-2-2-2000-2-22222-2-200000000000000-20020000000
χ2022222222-222-200-2-2-2000-2-222-2-22200000000000000200-20000000
χ21222222-2-22-2-2222-2-222-2-22-22-20000000000002-2000000000000000
χ22222222-2-22-2-2222-2-222-2-2-22-22000000000000-22000000000000000
χ23222222-2-22-2-22-2-2-2-22-2222-22-2000000000000-22000000000000000
χ24222222-2-22-2-22-2-2-2-22-222-22-220000000000002-2000000000000000
χ25222222-2-2-2-2-2-20022-20002-2-2200000000000000000002i−2i02i−2i00000
χ26222222-2-2-2-2-2-20022-20002-2-220000000000000000000−2i2i0−2i2i00000
χ27222222-2-2-2-2-2-20022-2000-222-200000000000000000002i−2i0−2i2i00000
χ28222222-2-2-2-2-2-20022-2000-222-20000000000000000000−2i2i02i−2i00000
χ292222-2-22-222-22222-2-2-22-2000000000000020-2000002000000000-20
χ302222-2-22-222-22222-2-2-22-20000000000000-20200000-200000000020
χ312222-2-22-222-22-2-22-2-22-22000000000000020-200000-200000000020
χ322222-2-22-222-22-2-22-2-22-220000000000000-202000002000000000-20
χ332222-2-2-222-22222-22-2-2-2200000000000020-2000002000000000-200
χ342222-2-2-222-22222-22-2-2-22000000000000-20200000-2000000000200
χ352222-2-2-222-222-2-2-22-222-200000000000020-200000-2000000000200
χ362222-2-2-222-222-2-2-22-222-2000000000000-202000002000000000-200
χ374444-4-44-4-44-4-400-444000000000000000000000000000000000000
χ384444-4-4-44-4-44-4004-44000000000000000000000000000000000000
χ3944-4-40000400-44-40000000000000022-2-20000002-20000000000000
χ4044-4-40000400-44-400000000000000-2-222000000-220000000000000
χ4144-4-40000400-4-440000000000000022-2-2000000-220000000000000
χ4244-4-40000400-4-4400000000000000-2-2220000002-20000000000000
χ434-4-444-4440-4-40000000000000000022−2222−22000000000000000000000
χ444-4-444-4440-4-400000000000000000−2222−2222000000000000000000000
χ454-4-444-4-4-404400000000000000000000000000000000000002i2−2i2000
χ464-4-444-4-4-40440000000000000000000000000000000000000−2i22i2000
χ474-4-44-444-40-440000000000000004i−4i0000000000000000000000000
χ484-4-44-444-40-44000000000000000−4i4i0000000000000000000000000
χ494-4-44-44-4404-400000000000004i−4i000000000000000000000000000
χ504-4-44-44-4404-40000000000000−4i4i000000000000000000000000000
χ5188-8-80000-800800000000000000000000000000000000000000000
χ528-88-800000000000000000000000022−22−2222000000000000000000000
χ538-88-8000000000000000000000000−222222−22000000000000000000000

Here i is the imaginary unit (i² = −1).