Finite Group Databasebeta

← Group #245463

Character table — Group #245463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882224444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-11-111-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-11111-111-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-111-1-1-11111
χ51111111111111111-11-11-11-1111111111-1-1-1-1-1-11-1-11-1-1-1-111111-1-1
χ61111111111111111-11-11-11-111-1-1-1-1-1-11-1-11-11-11111-1-111-1-1-1-1-111
χ71111111111111111-11-11-11-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111
χ81111111111111111-11-11-11-1-1-1-1-11111-1111-11-1-111-111-1-1-1-1-111-1-1
χ9111111111111111-11-11-11-1111111111-1-1-11-11-1-1-1-1111-1-11-1-1-1-111
χ10111111111111111-11-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1
χ11111111111111111-11-11-11-11-1-111-1-1-1-11111-11-11-1-1-1-1-1111-1-111-1-1
χ12111111111111111-11-11-11-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-111-1-111
χ13111111111111111-1-1-1-1-1-1-1-111111111-111-11-11-1111-1-1111-1-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-11111-111-1-11-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-11111-111-1-1-1-1
χ17222222-22-2222-2-2-222-2-2-2-22200000000000020-2000000000000000
χ18222222-22-2222-2-2-22-2-22-222-2000000000000-202000000000000000
χ19222222-22-2222-2-2-2-222-22-2-22000000000000-202000000000000000
χ20222222-22-2222-2-2-2-2-22222-2-200000000000020-2000000000000000
χ212222-2-2222-2-22-22-202020-20-20022000000020-2000000000-2000000
χ222222-2-2222-2-22-22-202020-20-200-2-20000000-2020000000002000000
χ232222-2-2222-2-22-22-20-20-2020200220000000-202000000000-2000000
χ242222-2-2222-2-22-22-20-20-2020200-2-2000000020-20000000002000000
χ252222-2-22-2222-2-2-222020-20-2022000000-2000000200-200000000000
χ262222-2-22-2222-2-2-222020-20-20-2-20000002000000-200200000000000
χ272222-2-22-2222-2-2-22-20-202020220000002000000-200-200000000000
χ282222-2-22-2222-2-2-22-20-202020-2-2000000-2000000200200000000000
χ292222-2-2-22-2-2-222-22020-2020-200000000000000002-20000002-20000
χ302222-2-2-22-2-2-222-22020-2020-20000000000000000-22000000-220000
χ312222-2-2-22-2-2-222-220-2020-20200000000000000002-2000000-220000
χ322222-2-2-22-2-2-222-220-2020-2020000000000000000-220000002-20000
χ332222-2-2-2-2-222-222-220-2020-200000000002-2000000002-2000000000
χ342222-2-2-2-2-222-222-220-2020-20000000000-2200000000-22000000000
χ352222-2-2-2-2-222-222-2-2020-20200000000002-200000000-22000000000
χ362222-2-2-2-2-222-222-2-2020-2020000000000-22000000002-2000000000
χ374444444-44-4-4-44-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3944-4-400-404000000000000002i2−2i222−222i2i−2i−2i0000000000000000000000
χ4044-4-400-404000000000000002i2−2i2−2222−2i−2i2i2i0000000000000000000000
χ4144-4-400-40400000000000000−2i22i222−22−2i−2i2i2i0000000000000000000000
χ4244-4-400-40400000000000000−2i22i2−22222i2i−2i−2i0000000000000000000000
χ434-4-444-40404-4-400000000000000000000000000000000000002i2−2i200
χ444-4-444-40404-4-40000000000000000000000000000000000000−2i22i200
χ454-4-444-40-40-44400000000000000000000000000000000000000022−22
χ464-4-444-40-40-444000000000000000000000000000000000000000−2222
χ474-4-44-44040-44-4000000000000000000000000000000002i2−2i20000000
χ484-4-44-44040-44-400000000000000000000000000000000−2i22i20000000
χ494-4-44-440-404-4400000000000000022−2222−220000000000000000000000
χ504-4-44-440-404-44000000000000000−2222−22220000000000000000000000
χ5188-8-80080-800000000000000000000000000000000000000000000
χ528-88-8000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ538-88-800000000000000000000000−2i22i22i2−2i20000000000000000000000

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