Finite Group Databasebeta

← Group #308461

Character table — Group #308461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111-1-111-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1111
χ101111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-11111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-111111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1111-1-11111-1
χ17222222222-2-22-222-22222-2-20000-2-20000220000-2-2220000000000-2000000000000
χ18222222222-2-22-222-22222-2-20000-2-20000-2-2000022-2-200000000002000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022000022000022-2-20000000000-2000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000220000-2-20000-2-22200000000002000000000000
χ2122222222-222-22-2-220000-2-222220022-2-200-2-2-2-2000000000000000000020000000
χ2222222222-222-22-2-220000-2-2222200-2-2220022-2-20000000000000000000-20000000
χ2322222222-222-22-2-220000-2-2-2-2-2-200222200-2-2220000000000000000000-20000000
χ2422222222-222-22-2-220000-2-2-2-2-2-200-2-2-2-2002222000000000000000000020000000
χ252-222-22-2-2222-2-22-2-222-2-22-200002-200000000000000000000002-20000002-200000
χ262-222-22-2-2222-2-22-2-222-2-22-200002-20000000000000000000000-22000000-2200000
χ272-222-22-2-2222-2-22-2-2-2-2222-20000-2200000000000000000000002-2000000-2200000
χ282-222-22-2-2222-2-22-2-2-2-2222-20000-220000000000000000000000-220000002-200000
χ292-222-22-2-22-2-2-222-2222-2-2-220000-222i−2i00002i−2i00000000000000000002i−2i00000000
χ302-222-22-2-22-2-2-222-2222-2-2-220000-22−2i2i0000−2i2i0000000000000000000−2i2i00000000
χ312-222-22-2-22-2-2-222-22-2-222-2200002-22i−2i00002i−2i0000000000000000000−2i2i00000000
χ322-222-22-2-22-2-2-222-22-2-222-2200002-2−2i2i0000−2i2i00000000000000000002i−2i00000000
χ332-222-22-2-2-2-2-222-22200002-20000002i−2i0000−2i2i00000022-2-200000002i−2i0000000000
χ342-222-22-2-2-2-2-222-22200002-20000002i−2i0000−2i2i000000-2-2220000000−2i2i0000000000
χ352-222-22-2-2-2-2-222-22200002-2000000−2i2i00002i−2i00000022-2-20000000−2i2i0000000000
χ362-222-22-2-2-2-2-222-22200002-2000000−2i2i00002i−2i000000-2-22200000002i−2i0000000000
χ372-22-2-2-222-200-202202-22-20022−2−20000002-2002−2002-22−22−222−2−20000000000002−20
χ382-22-2-2-222-200-202202-22-20022−2−2000000-22002−200-222−22−2−2−222000000000000−220
χ392-22-2-2-222-200-202202-22-200−2−2220000002-200−22002-2−22−22−2−222000000000000−220
χ402-22-2-2-222-200-202202-22-200−2−222000000-2200−2200-22−22−2222−2−20000000000002−20
χ412-22-2-2-222-200-20220-22-220022−2−20000002-2002−200-22−22−22−2−2220000000000002−20
χ422-22-2-2-222-200-20220-22-220022−2−2000000-22002−2002-2−22−2222−2−2000000000000−220
χ432-22-2-2-222-200-20220-22-2200−2−2220000002-200−2200-222−22−222−2−2000000000000−220
χ442-22-2-2-222-200-20220-22-2200−2−222000000-2200−22002-22−22−2−2−2220000000000002−20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4400-40-4400000000000000000000000000022−22−22220000000000000000000
χ47444-44-4-4-4400-40-44000000000000000000000000000−222222−220000000000000000000
χ48444-44-4-4-4-400404-404-4-44000000000000000000000000000000000000000000000
χ49444-44-4-4-4-400404-40-444-4000000000000000000000000000000000000000000000
χ5044-44-4-44-4000000000000002i2−2i22i2−2i20000000000002i2−2i20000002-22-2000000000000000
χ5144-44-4-44-4000000000000002i2−2i22i2−2i2000000000000−2i22i2000000-22-22000000000000000
χ5244-44-4-44-400000000000000−2i22i2−2i22i20000000000002i2−2i2000000-22-22000000000000000
χ5344-44-4-44-400000000000000−2i22i2−2i22i2000000000000−2i22i20000002-22-2000000000000000
χ5444-4-4-44-4404-40400-4000000000000004i−4i000000000000000000000000000000000
χ5544-4-4-44-4404-40400-400000000000000−4i4i000000000000000000000000000000000
χ5644-4-4-44-440-440-40040000000000000000000000000000000000000000000022−22000
χ5744-4-4-44-440-440-400400000000000000000000000000000000000000000000−2222000
χ584-444-44-4-4-4444-4-44-40000-440000000000000000000000000000000000000000000
χ594-44-4-4-44440040-4-400000002222−22−220000000000−2222000000000000000000000000000
χ604-44-4-4-44440040-4-40000000−22−222222000000000022−22000000000000000000000000000
χ614-4-4-4444-404-40-400400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-4444-404-40-4004000000000000000000000000000000−222222−22000000000000000
χ634-4-4-4444-40-440400-40000004i−4i−4i4i000000000000000000000000000000000000000
χ644-4-4-4444-40-440400-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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