Finite Group Databasebeta

← Group #332072

Character table — Group #332072

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888222244888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-111-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111-1111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-1111-1-1
χ17222222222-22-22-22-2-2-2222200000022-2-2000000000000-22000-2000000000
χ18222222222-22-22-22-2-2-22222000000-2-2-2-20000000000002-20002000000000
χ19222222222-22-22-22-2-2-2-2-2-2-20000002222000000000000-2-20002000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2000000-2-22200000000000022000-2000000000
χ2122222222-22-22-22-22-2-2000022-2-2220000-2-200002200000000-20000000000
χ2222222222-22-22-22-22-2-2000022-2-2-2-20000220000-2-20000000020000000000
χ2322222222-22-22-22-22-2-20000-2-222220000220000-2-200000000-20000000000
χ2422222222-22-22-22-22-2-20000-2-222-2-20000-2-20000220000000020000000000
χ252-2-222-22-222-2-222-2-22-200000000000000002i2i−2i−2i000000002-20000002i−2i000
χ262-2-222-22-222-2-222-2-22-200000000000000002i2i−2i−2i00000000-22000000−2i2i000
χ272-2-222-22-222-2-222-2-22-20000000000000000−2i−2i2i2i000000002-2000000−2i2i000
χ282-2-222-22-222-2-222-2-22-20000000000000000−2i−2i2i2i00000000-220000002i−2i000
χ292-2-2-2-22220-20-202020022−2−22-2002-2002−2002−22−22-222−2−20000002−20000000
χ302-2-2-2-22220-20-202020022−2−22-200-22002−2002−22−2-22−2−222000000−220000000
χ312-2-2-2-22220-20-202020022−2−2-22002-2002−200−22−22-22−2−2220000002−20000000
χ322-2-2-2-22220-20-202020022−2−2-2200-22002−200−22−222-222−2−2000000−220000000
χ332-2-2-2-22220-20-2020200−2−2222-2002-200−2200−22−222-2−2−222000000−220000000
χ342-2-2-2-22220-20-2020200−2−2222-200-2200−2200−22−22-2222−2−20000002−20000000
χ352-2-2-2-22220-20-2020200−2−222-22002-200−22002−22−2-2222−2−2000000−220000000
χ362-2-2-2-22220-20-2020200−2−222-2200-2200−22002−22−22-2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4040-40-404000000004i−4i000000000000000000000000000000000
χ39444-4-4-44-4040-40-40400000000−4i4i000000000000000000000000000000000
χ40444-4-4-44-40-404040-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ41444-4-4-44-40-404040-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ4244-44-44-4-400000000002i2−2i22i2−2i2000000000022−220000002i−2i2i−2i000000000000000
χ4344-44-44-4-400000000002i2−2i22i2−2i20000000000−2222000000−2i2i−2i2i000000000000000
χ4444-44-44-4-40000000000−2i22i2−2i22i2000000000022−22000000−2i2i−2i2i000000000000000
χ4544-44-44-4-40000000000−2i22i2−2i22i20000000000−22220000002i−2i2i−2i000000000000000
χ4644-4-44-4-444040-40-400000000000004i−4i00000000000000000000000000000
χ4744-4-44-4-444040-40-40000000000000−4i4i00000000000000000000000000000
χ4844-4-44-4-44-40-40404000000000000000000000000000000000000022−2200000
χ4944-4-44-4-44-40-404040000000000000000000000000000000000000−222200000
χ504-44-444-4-440-40-40400000000000000000000000002i2−2i2−2i22i2000000000000000
χ514-44-444-4-440-40-4040000000000000000000000000−2i22i22i2−2i2000000000000000
χ524-44-444-4-4-404040-40004i−4i−4i4i0000000000000000000000000000000000000
χ534-44-444-4-4-404040-4000−4i4i4i−4i0000000000000000000000000000000000000
χ544-4-444-44-44-4-444-4-44-4400000000000000000000000000000000000000000
χ554-4-444-44-4-444-4-444-4-4400000000000000000000000000000000000000000
χ564-4-444-44-4-4-444-4-4444-400000000000000000000000000000000000000000
χ574-4-4-4-444404040-40-4002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-4-444404040-40-400−22−2222220000000022−22000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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