Finite Group Databasebeta

← Group #315360

Character table — Group #315360

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888844444444444488888888888888888844882244
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11-1-11
χ17222222222-22-2-222-2-2-222220000-2-2-2-20000220000-2-20000000000000000002-2000000
χ18222222222-22-2-222-2-2-222220000-2-2-2-20000-2-2000022000000000000000000-22000000
χ19222222222-22-2-222-2-2-2-2-2-2-2000022220000220000-2-2000000000000000000-22000000
χ20222222222-22-2-222-2-2-2-2-2-2-2000022220000-2-20000220000000000000000002-2000000
χ2122222222-22-222-2-22-2-200002222000022-2-20022-2-200-2-2000000000000000000000000
χ2222222222-22-222-2-22-2-2000022220000-2-22200-2-22200-2-2000000000000000000000000
χ2322222222-22-222-2-22-2-20000-2-2-2-2000022-2-200-2-2220022000000000000000000000000
χ2422222222-22-222-2-22-2-20000-2-2-2-20000-2-2220022-2-20022000000000000000000000000
χ252222-2-2-2-222-2-2-22-22-2200002i2i−2i−2i00000000000000002i−2i22-2-22i2i−2i−2i0000000000000000
χ262222-2-2-2-222-2-2-22-22-2200002i2i−2i−2i00000000000000002i−2i-2-222−2i−2i2i2i0000000000000000
χ272222-2-2-2-222-2-2-22-22-220000−2i−2i2i2i0000000000000000−2i2i22-2-2−2i−2i2i2i0000000000000000
χ282222-2-2-2-222-2-2-22-22-220000−2i−2i2i2i0000000000000000−2i2i-2-2222i2i−2i−2i0000000000000000
χ292222-2-2-2-2-222-2-2-2222-222-2-22i2i−2i−2i22-2-2000000000000−2i2i0000000000002i2i−2i−2i00000000
χ302222-2-2-2-2-222-2-2-2222-222-2-2−2i−2i2i2i22-2-20000000000002i−2i000000000000−2i−2i2i2i00000000
χ312222-2-2-2-2-222-2-2-2222-2-2-2222i2i−2i−2i-2-222000000000000−2i2i000000000000−2i−2i2i2i00000000
χ322222-2-2-2-2-222-2-2-2222-2-2-222−2i−2i2i2i-2-2220000000000002i−2i0000000000002i2i−2i−2i00000000
χ332222-2-2-2-2-2-2222-22-2-2222-2-20000-2-22200000000000000000000002i2i−2i−2i0000002i−2i0000
χ342222-2-2-2-2-2-2222-22-2-2222-2-20000-2-2220000000000000000000000−2i−2i2i2i000000−2i2i0000
χ352222-2-2-2-2-2-2222-22-2-22-2-222000022-2-200000000000000000000002i2i−2i−2i000000−2i2i0000
χ362222-2-2-2-2-2-2222-22-2-22-2-222000022-2-20000000000000000000000−2i−2i2i2i0000002i−2i0000
χ372-22-22-22-20202-200-2002−22−22-22-22−22−2002i−2i00002i−2i0000i2−i2i2−i2i2−i2i2−i200002−22−200000000
χ382-22-22-22-20202-200-2002−22−22-22-22−22−200−2i2i0000−2i2i0000−i2i2−i2i2−i2i2−i2i200002−22−200000000
χ392-22-22-22-20202-200-2002−22−2-22-222−22−2002i−2i0000−2i2i0000−i2i2−i2i2i2−i2i2−i20000−22−2200000000
χ402-22-22-22-20202-200-2002−22−2-22-222−22−200−2i2i00002i−2i0000i2−i2i2−i2−i2i2−i2i20000−22−2200000000
χ412-22-22-22-20202-200-200−22−222-22-2−22−22002i−2i00002i−2i0000−i2i2−i2i2−i2i2−i2i20000−22−2200000000
χ422-22-22-22-20202-200-200−22−222-22-2−22−2200−2i2i0000−2i2i0000i2−i2i2−i2i2−i2i2−i20000−22−2200000000
χ432-22-22-22-20202-200-200−22−22-22-22−22−22002i−2i0000−2i2i0000i2−i2i2−i2−i2i2−i2i200002−22−200000000
χ442-22-22-22-20202-200-200−22−22-22-22−22−2200−2i2i00002i−2i0000−i2i2−i2i2i2−i2i2−i200002−22−200000000
χ452-22-2-22-22020-2200-2002−2−222i−2i−2i2i2−2−222-200002i−2i000000i2−i2−i2i2−222−20000i2−i2−i2i200000000
χ462-22-2-22-22020-2200-2002−2−222i−2i−2i2i2−2−22-220000−2i2i000000−i2i2i2−i22−2−220000i2−i2−i2i200000000
χ472-22-2-22-22020-2200-2002−2−22−2i2i2i−2i2−2−222-20000−2i2i000000−i2i2i2−i2−222−20000−i2i2i2−i200000000
χ482-22-2-22-22020-2200-2002−2−22−2i2i2i−2i2−2−22-2200002i−2i000000i2−i2−i2i22−2−220000−i2i2i2−i200000000
χ492-22-2-22-22020-2200-200−222−22i−2i−2i2i−222−22-200002i−2i000000−i2i2i2−i22−2−220000−i2i2i2−i200000000
χ502-22-2-22-22020-2200-200−222−22i−2i−2i2i−222−2-220000−2i2i000000i2−i2−i2i2−222−20000−i2i2i2−i200000000
χ512-22-2-22-22020-2200-200−222−2−2i2i2i−2i−222−22-20000−2i2i000000i2−i2−i2i22−2−220000i2−i2−i2i200000000
χ522-22-2-22-22020-2200-200−222−2−2i2i2i−2i−222−2-2200002i−2i000000−i2i2i2−i2−222−20000i2−i2−i2i200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ544444-4-4-4-44-4-4444-4-44-400000000000000000000000000000000000000000000000000
χ5544-4-444-4-440-400-4400000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ5644-4-444-4-440-400-440000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ5744-4-444-4-4-404004-400000000000000000000000004i−4i00000000000000000000000000
χ5844-4-444-4-4-404004-40000000000000000000000000−4i4i00000000000000000000000000
χ5944-4-4-4-44440400-4-400000000000000000004i−4i00000000000000000000000000000000
χ6044-4-4-4-44440400-4-40000000000000000000−4i4i00000000000000000000000000000000
χ6144-4-4-4-444-40-40044000000000000000000000000000000000000022−22−2222000000000000
χ6244-4-4-4-444-40-400440000000000000000000000000000000000000−222222−22000000000000
χ634-44-44-44-40-40-440040022−2222−220000−2222−222200000000000000000000000000000000000000
χ644-44-44-44-40-40-4400400−2222−2222000022−2222−2200000000000000000000000000000000000000
χ654-44-4-44-440-404-40040022−22−22220000−222222−2200000000000000000000000000000000000000
χ664-44-4-44-440-404-400400−222222−22000022−22−222200000000000000000000000000000000000000
χ678-8-888-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-88-888-8000000000000000000000000000000000000000000000000000000000000

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