Finite Group Databasebeta

← Group #277476

Character table — Group #277476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111111-1-11-1
χ911111111111111111-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111
χ1011111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-1
χ1111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ1211111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1111-1-111-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1111-1
χ172222222222-2-22-22-2-20000-22222-2-2-2-200000022220000000000000000-200-200000000
χ182222222222-2-22-22-2-20000-22222-2-2-2-2000000-2-2-2-20000000000000000200200000000
χ192222222222-2-22-22-2-20000-2-2-2-2-2222200000022-2-20000000000000000-200200000000
χ202222222222-2-22-22-2-20000-2-2-2-2-22222000000-2-2220000000000000000200-200000000
χ2122222222-2-222-22-22-22222-20000000022-2-2-2-20000220000-2-200000000000000000000
χ2222222222-2-222-22-22-22222-200000000-2-2-2-2220000-2-200002200000000000000000000
χ2322222222-2-222-22-22-2-2-2-2-2-2000000002222-2-20000-2-200002200000000000000000000
χ2422222222-2-222-22-22-2-2-2-2-2-200000000-2-222220000220000-2-200000000000000000000
χ25222-2-2-2-2222-2-2-22-22222-2-2-200000000002-2000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ26222-2-2-2-2222-2-2-22-22222-2-2-200000000002-200000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ27222-2-2-2-2222-2-2-22-222-2-222-20000000000-22000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ28222-2-2-2-2222-2-2-22-222-2-222-20000000000-2200000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ29222-2-2-2-22-2-2222-22-220000-222-2-222-2-20000000000000000000000000002i−2i02i−2i000000
χ30222-2-2-2-22-2-2222-22-220000-222-2-222-2-2000000000000000000000000000−2i2i0−2i2i000000
χ31222-2-2-2-22-2-2222-22-220000-2-2-222-2-2220000000000000000000000000002i−2i0−2i2i000000
χ32222-2-2-2-22-2-2222-22-220000-2-2-222-2-222000000000000000000000000000−2i2i02i−2i000000
χ33222-2-2-2-22-2-2-2-22222-222-2-2222-2-2-2-22200-220000000022-2-20000000000000000000000
χ34222-2-2-2-22-2-2-2-22222-222-2-22-2-22222-2-200-2200000000-2-2220000000000000000000000
χ35222-2-2-2-22-2-2-2-22222-2-2-222222-2-2-2-222002-200000000-2-2220000000000000000000000
χ36222-2-2-2-22-2-2-2-22222-2-2-2222-2-22222-2-2002-20000000022-2-20000000000000000000000
χ3722-222-2-2-2002-20-20202i−2i2i−2i02−22−22−22−200002i−2i000000i2−i2i2−i22-2i2−i2i2−i22−22−2000000000000
χ3822-222-2-2-2002-20-20202i−2i2i−2i02−22−22−22−20000−2i2i000000i2−i2i2−i2-22−i2i2−i2i2−22−22000000000000
χ3922-222-2-2-2002-20-20202i−2i2i−2i0−22−22−22−2200002i−2i000000−i2i2−i2i22-2−i2i2−i2i2−22−22000000000000
χ4022-222-2-2-2002-20-20202i−2i2i−2i0−22−22−22−220000−2i2i000000−i2i2−i2i2-22i2−i2i2−i22−22−2000000000000
χ4122-222-2-2-2002-20-2020−2i2i−2i2i02−22−22−22−200002i−2i000000−i2i2−i2i2-22i2−i2i2−i2−22−22000000000000
χ4222-222-2-2-2002-20-2020−2i2i−2i2i02−22−22−22−20000−2i2i000000−i2i2−i2i22-2−i2i2−i2i22−22−2000000000000
χ4322-222-2-2-2002-20-2020−2i2i−2i2i0−22−22−22−2200002i−2i000000i2−i2i2−i2-22−i2i2−i2i22−22−2000000000000
χ4422-222-2-2-2002-20-2020−2i2i−2i2i0−22−22−22−220000−2i2i000000i2−i2i2−i22-2i2−i2i2−i2−22−22000000000000
χ4522-2-2-222-200-220-20202i−2i−2i2i02−2−22−222−22-2000000002i−2ii2−i2−i2i2002−2−22−i2i2i2−i2000000000000
χ4622-2-2-222-200-220-20202i−2i−2i2i02−2−22−222−2-2200000000−2i2ii2−i2−i2i200−222−2i2−i2−i2i2000000000000
χ4722-2-2-222-200-220-20202i−2i−2i2i0−222−22−2−222-2000000002i−2i−i2i2i2−i200−222−2i2−i2−i2i2000000000000
χ4822-2-2-222-200-220-20202i−2i−2i2i0−222−22−2−22-2200000000−2i2i−i2i2i2−i2002−2−22−i2i2i2−i2000000000000
χ4922-2-2-222-200-220-2020−2i2i2i−2i02−2−22−222−22-200000000−2i2i−i2i2i2−i2002−2−22i2−i2−i2i2000000000000
χ5022-2-2-222-200-220-2020−2i2i2i−2i02−2−22−222−2-22000000002i−2i−i2i2i2−i200−222−2−i2i2i2−i2000000000000
χ5122-2-2-222-200-220-2020−2i2i2i−2i0−222−22−2−222-200000000−2i2ii2−i2−i2i200−222−2−i2i2i2−i2000000000000
χ5222-2-2-222-200-220-2020−2i2i2i−2i0−222−22−2−22-22000000002i−2ii2−i2−i2i2002−2−22i2−i2−i2i2000000000000
χ5344444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000000
χ54444-4-4-4-444444-4-4-4-4-4000040000000000000000000000000000000000000000000000
χ5544-444-4-4-400-44040-400000022−2222−22−2222−222200000000000000000000000000000000000000
χ5644-444-4-4-400-44040-4000000−2222−222222−2222−2200000000000000000000000000000000000000
χ5744-4-4-444-4004-4040-400000022−22−222222−22−222200000000000000000000000000000000000000
χ5844-4-4-444-4004-4040-4000000−222222−22−222222−2200000000000000000000000000000000000000
χ594-444-44-4-44-40040-4000000000000000000000000000000000000000000000000022−2200
χ604-444-44-4-44-40040-40000000000000000000000000000000000000000000000000−222200
χ614-444-44-4-4-4400-404000000000000000000000004i−4i0000000000000000000000000000
χ624-444-44-4-4-4400-40400000000000000000000000−4i4i0000000000000000000000000000
χ634-44-44-44-44-400-4040000000000000000000004i−4i000000000000000000000000000000
χ644-44-44-44-44-400-404000000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-44-4-440040-40000000000000000000000000000000000000000000000022−220000
χ664-44-44-44-4-440040-400000000000000000000000000000000000000000000000−22220000
χ678-8-88-8-888000000000000000000000000000000000000000000000000000000000000
χ688-8-8-888-88000000000000000000000000000000000000000000000000000000000000

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