Finite Group Databasebeta

← Group #307692

Character table — Group #307692

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1111-1-111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111111111-1-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-111-1-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-1-111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-111-1-11111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111111-1-111-1-111-1-1-11
χ17222222222-222-2-22-2-2-2000000002222-2-2-2-20000000022-2-20000002-200000000000000
χ18222222222-222-2-22-2-2-2000000002222-2-2-2-200000000-2-222000000-2200000000000000
χ19222222222-222-2-22-2-2-200000000-2-2-2-222220000000022-2-2000000-2200000000000000
χ20222222222-222-2-22-2-2-200000000-2-2-2-2222200000000-2-2220000002-200000000000000
χ2122222222-22-2-222-22-2-22222-2-2-2-2000000000000000000002222-2-20000000000000000
χ2222222222-22-2-222-22-2-22222-2-2-2-200000000000000000000-2-2-2-2220000000000000000
χ2322222222-22-2-222-22-2-2-2-2-2-222220000000000000000000022-2-2-220000000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-2222200000000000000000000-2-2222-20000000000000000
χ252-2-222-2-222-2-2-2222-22-222-2-222-2-200000000000000000000000000002i−2i2i−2i0000000000
χ262-2-222-2-222-2-2-2222-22-222-2-222-2-20000000000000000000000000000−2i2i−2i2i0000000000
χ272-2-222-2-222-2-2-2222-22-2-2-222-2-22200000000000000000000000000002i−2i−2i2i0000000000
χ282-2-222-2-222-2-2-2222-22-2-2-222-2-2220000000000000000000000000000−2i2i2i−2i0000000000
χ292-2-222-2-22-2222-2-2-222-200000000000000002i2i2i2i−2i−2i−2i−2i2i−2i2i−2i000000000000002-2000000
χ302-2-222-2-22-2222-2-2-222-200000000000000002i2i2i2i−2i−2i−2i−2i−2i2i−2i2i00000000000000-22000000
χ312-2-222-2-22-2222-2-2-222-20000000000000000−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i00000000000000-22000000
χ322-2-222-2-22-2222-2-2-222-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i2i−2i2i000000000000002-2000000
χ332-2-222-2-22-2-22222-2-2-2222-2-2-2-22200000000000000002i−2i−2i2i0000000000002i−2i00000000
χ342-2-222-2-22-2-22222-2-2-2222-2-2-2-2220000000000000000−2i2i2i−2i000000000000−2i2i00000000
χ352-2-222-2-22-2-22222-2-2-22-2-22222-2-200000000000000002i−2i−2i2i000000000000−2i2i00000000
χ362-2-222-2-22-2-22222-2-2-22-2-22222-2-20000000000000000−2i2i2i−2i0000000000002i−2i00000000
χ372-2-2-2-22220-2002-202002-22-2000022−2−222−2−222−2−222−2−200002-22-20000000000002−22−200
χ382-2-2-2-22220-2002-202002-22-2000022−2−222−2−222−2−222−2−20000-22-22000000000000−22−2200
χ392-2-2-2-22220-2002-202002-22-20000−2−222−2−222−2−222−2−22200002-22-2000000000000−22−2200
χ402-2-2-2-22220-2002-202002-22-20000−2−222−2−222−2−222−2−2220000-22-220000000000002−22−200
χ412-2-2-2-22220-2002-20200-22-22000022−2−222−2−2−2−222−2−22200002-2-220000000000002−2−2200
χ422-2-2-2-22220-2002-20200-22-22000022−2−222−2−2−2−222−2−2220000-222-2000000000000−222−200
χ432-2-2-2-22220-2002-20200-22-220000−2−222−2−22222−2−222−2−200002-2-22000000000000−222−200
χ442-2-2-2-22220-2002-20200-22-220000−2−222−2−22222−2−222−2−20000-222-20000000000002−2−2200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-4-4-4404004-40-4004-4-440000000000000000000000000000000000000000000000
χ47444-4-4-4-4404004-40-400-444-40000000000000000000000000000000000000000000000
χ48444-4-4-4-440-400-44040000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ49444-4-4-4-440-400-4404000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ5044-44-44-4-4404-400-4000000000000000000022−2222−2222−2222−2200000000000000000000000000
χ5144-44-44-4-4404-400-40000000000000000000−2222−2222−2222−222200000000000000000000000000
χ5244-44-44-4-4-40-44004000000000004i−4i4i−4i00000000000000000000000000000000000000
χ5344-44-44-4-4-40-4400400000000000−4i4i−4i4i00000000000000000000000000000000000000
χ5444-4-44-44-4000000000000002i2−2i22i2−2i2000022−2222−222i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ5544-4-44-44-4000000000000002i2−2i22i2−2i20000−2222−2222−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ5644-4-44-44-400000000000000−2i22i2−2i22i2000022−2222−22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ5744-4-44-44-400000000000000−2i22i2−2i22i20000−2222−22222i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ584-444-4-44-440-4400-40000000000000004-4-440000000000000000000000000000000000
χ594-444-4-44-440-4400-4000000000000000-444-40000000000000000000000000000000000
χ604-444-4-44-4-404-400400000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ614-444-4-44-4-404-40040000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ624-44-444-4-4000000000000002i2−2i2−2i22i22i2−2i2−2i22i200002-2-222-2-2200000000000000000000000000
χ634-44-444-4-4000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000-222-2-222-200000000000000000000000000
χ644-44-444-4-400000000000000−2i22i22i2−2i22i2−2i2−2i22i20000-222-2-222-200000000000000000000000000
χ654-44-444-4-400000000000000−2i22i22i2−2i2−2i22i22i2−2i200002-2-222-2-2200000000000000000000000000
χ664-4-444-4-4444-4-4-4-444-4400000000000000000000000000000000000000000000000000
χ674-4-4-4-44440400-440-400000000002222−22−22−22−2222220000000000000000000000000000000000
χ684-4-4-4-44440400-440-40000000000−22−2222222222−22−220000000000000000000000000000000000

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