Finite Group Databasebeta

← Group #299299

Character table — Group #299299

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order12222244444444888888882244448888888888888888888844888888888888222444442488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1111-1-1
χ911111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-111-11-1-11
χ17222222-2-2-2-222222222-2-2-2-22222-2-222-2-20000000000000000-2-20000000022-2-2000000000000
χ18222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-200000000000000002200000000-2-222000000000000
χ19222222-2-2-2-22222-2-2-2-222222222-2-2-2-2220000000000000000-2-200000000-2-222000000000000
χ20222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2220000000000000000220000000022-2-2000000000000
χ212222-2-2222222-2-2222222220000-2-2-2-2-2-2000000000000000000000000000000002-2-20020000
χ222222-2-2222222-2-2222222220000-2-2-2-2-2-200000000000000000000000000000000-22200-20000
χ232222-2-2222222-2-2-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000000000002-2200-20000
χ242222-2-2222222-2-2-2-2-2-2-2-2-2-20000-2-2222200000000000000000000000000000000-22-20020000
χ252222-2-222-2-2-2-2220000000022-2-2-2200002222-2-2-2-2000000002-222-2-200000000000000000000
χ262222-2-222-2-2-2-2220000000022-2-2-220000-2-2-2-22222000000002-2-2-22200000000000000000000
χ272222-2-222-2-2-2-22200000000-2-222-2200002222-2-2-2-200000000-22-2-22200000000000000000000
χ282222-2-222-2-2-2-22200000000-2-222-220000-2-2-2-2222200000000-2222-2-200000000000000000000
χ292222-2-2-2-222-2-2220000000022-2-22-20000000000002222-2-2-2-2-22000022-2-20000000000000000
χ302222-2-2-2-222-2-2220000000022-2-22-2000000000000-2-2-2-22222-220000-2-2220000000000000000
χ312222-2-2-2-222-2-22200000000-2-2222-20000000000002222-2-2-2-22-20000-2-2220000000000000000
χ322222-2-2-2-222-2-22200000000-2-2222-2000000000000-2-2-2-222222-2000022-2-20000000000000000
χ332222-2-2-2-2-2-222-2-22222-2-2-2-2000022-2-2220000000000000000000000000000002-20002-200000
χ342222-2-2-2-2-2-222-2-22222-2-2-2-2000022-2-222000000000000000000000000000000-22000-2200000
χ352222-2-2-2-2-2-222-2-2-2-2-2-2222200002222-2-20000000000000000000000000000002-2000-2200000
χ362222-2-2-2-2-2-222-2-2-2-2-2-2222200002222-2-2000000000000000000000000000000-220002-200000
χ3722-2-22-200002-22-200002i2i−2i−2i2-22-200002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2002−22−2i2−i2i2−i2002i−2i000000000000
χ3822-2-22-200002-22-200002i2i−2i−2i2-22-200002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200−22−22−i2i2−i2i2002i−2i000000000000
χ3922-2-22-200002-22-200002i2i−2i−2i-22-2200002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200−22−22−i2i2−i2i200−2i2i000000000000
χ4022-2-22-200002-22-200002i2i−2i−2i-22-2200002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2002−22−2i2−i2i2−i200−2i2i000000000000
χ4122-2-22-200002-22-20000−2i−2i2i2i2-22-20000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2002−22−2−i2i2−i2i200−2i2i000000000000
χ4222-2-22-200002-22-20000−2i−2i2i2i2-22-20000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200−22−22i2−i2i2−i200−2i2i000000000000
χ4322-2-22-200002-22-20000−2i−2i2i2i-22-220000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200−22−22i2−i2i2−i2002i−2i000000000000
χ4422-2-22-200002-22-20000−2i−2i2i2i-22-220000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2002−22−2−i2i2−i2i2002i−2i000000000000
χ4522-2-2-220000-222-22i2i−2i−2i00002-2-22002i−2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2002−2−22i2−i2−i2i22i−2i00000000000000
χ4622-2-2-220000-222-22i2i−2i−2i00002-2-22002i−2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i200−222−2−i2i2i2−i22i−2i00000000000000
χ4722-2-2-220000-222-22i2i−2i−2i0000-222-2002i−2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i200−222−2−i2i2i2−i2−2i2i00000000000000
χ4822-2-2-220000-222-22i2i−2i−2i0000-222-2002i−2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2002−2−22i2−i2−i2i2−2i2i00000000000000
χ4922-2-2-220000-222-2−2i−2i2i2i00002-2-2200−2i2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2002−2−22−i2i2i2−i2−2i2i00000000000000
χ5022-2-2-220000-222-2−2i−2i2i2i00002-2-2200−2i2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i200−222−2i2−i2−i2i2−2i2i00000000000000
χ5122-2-2-220000-222-2−2i−2i2i2i0000-222-200−2i2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i200−222−2i2−i2−i2i22i−2i00000000000000
χ5222-2-2-220000-222-2−2i−2i2i2i0000-222-200−2i2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2002−2−22−i2i2i2−i22i−2i00000000000000
χ5344444444-4-4-4-4-4-40000000000004-40000000000000000000000000000000000000000000000
χ54444444-4-444-4-4-4-4000000000000-440000000000000000000000000000000000000000000000
χ5544-4-44-40000-44-444i4i−4i−4i0000000000−4i4i00000000000000000000000000000000000000000000
χ5644-4-44-40000-44-44−4i−4i4i4i00000000004i−4i00000000000000000000000000000000000000000000
χ5744-4-4-4400004-4-4400004i4i−4i−4i00000000−4i4i000000000000000000000000000000000000000000
χ5844-4-4-4400004-4-440000−4i−4i4i4i000000004i−4i000000000000000000000000000000000000000000
χ594-44-4004-40000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000022−2222−222i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ604-44-4004-40000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000−2222−2222−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ614-44-4004-4000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000022−2222−22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ624-44-4004-4000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000−2222−22222i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ634-44-400-440000002i2−2i22i2−2i2−2i22i2−2i22i2000000000022−2222−2200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ644-44-400-440000002i2−2i22i2−2i2−2i22i2−2i22i20000000000−2222−22220000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ654-44-400-44000000−2i22i2−2i22i22i2−2i22i2−2i2000000000022−2222−220000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ664-44-400-44000000−2i22i2−2i22i22i2−2i22i2−2i20000000000−2222−222200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ674-4-4400004-4000022−22−222222−22−222200000000002-2-222-2-22000022−22−222200000000000000000000000000
χ684-4-4400004-4000022−22−222222−22−22220000000000-222-2-222-20000−222222−2200000000000000000000000000
χ694-4-4400004-40000−222222−22−222222−2200000000002-2-222-2-220000−222222−2200000000000000000000000000
χ704-4-4400004-40000−222222−22−222222−220000000000-222-2-222-2000022−22−222200000000000000000000000000
χ714-4-440000-44000022−22−2222−222222−2200000000002-2-22-222-222−22−2222000000000000000000000000000000
χ724-4-440000-44000022−22−2222−222222−220000000000-222-22-2-22−222222−22000000000000000000000000000000
χ734-4-440000-440000−222222−2222−22−222200000000002-2-22-222-2−222222−22000000000000000000000000000000
χ744-4-440000-440000−222222−2222−22−22220000000000-222-22-2-2222−22−2222000000000000000000000000000000

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