Finite Group Databasebeta

← Group #293776

Character table — Group #293776

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444444444444888888888888888844444444244444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1111-11-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-1-1-1-11-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-11111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-111-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111-1-111-1-1-1-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11111-1-1111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-222-2-2-2-2000000000000000000220022-20-2000000000000000
χ182222222222-2-222-2-222-2-222-2-2-2-2000000000000000000-2-200-2-2202000000000000000
χ192222222222-2-222-2-2-2-222-2-222-2-20000000000000000002200-2-220-2000000000000000
χ202222222222-2-222-2-2-2-222-2-222-2-2000000000000000000-2-20022-202000000000000000
χ2122222222-2-222-2-2222222-2-2-2-2-2-200000000000000002200-2-2000200000-20000000000
χ2222222222-2-222-2-2222222-2-2-2-2-2-20000000000000000-2-20022000-20000020000000000
χ2322222222-2-222-2-222-2-2-2-22222-2-200000000000000002200-2-2000-20000020000000000
χ2422222222-2-222-2-222-2-2-2-22222-2-20000000000000000-2-20022000200000-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000002-22-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000-22-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000002-2-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000-222-200000000000
χ292-222-2-22-22-2002-2002i−2i002i−2i00002222−2−2−2−2i2i2i2i2−i2−i2−i2−i2002-2002i−2i0000000000002−2i2−i200
χ302-222-2-22-22-2002-2002i−2i002i−2i00002222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-2200−2i2i000000000000−22−i2i200
χ312-222-2-22-22-2002-2002i−2i002i−2i0000−2−2−2−22222−i2−i2−i2−i2i2i2i2i2002-2002i−2i000000000000−22−i2i200
χ322-222-2-22-22-2002-2002i−2i002i−2i0000−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-2200−2i2i0000000000002−2i2−i200
χ332-222-2-22-22-2002-200−2i2i00−2i2i00002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-200−2i2i0000000000002−2−i2i200
χ342-222-2-22-22-2002-200−2i2i00−2i2i00002222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-22002i−2i000000000000−22i2−i200
χ352-222-2-22-22-2002-200−2i2i00−2i2i0000−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-200−2i2i000000000000−22i2−i200
χ362-222-2-22-22-2002-200−2i2i00−2i2i0000−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-22002i−2i0000000000002−2−i2i200
χ372-22-22-2-222-222-22-2-2000000002-2000000002i2i−2i−2i2i2i−2i−2i2i−2i002i−2i0000000000002-2000000
χ382-22-22-2-222-222-22-2-2000000002-2000000002i2i−2i−2i2i2i−2i−2i−2i2i00−2i2i000000000000-22000000
χ392-22-22-2-222-222-22-2-2000000002-200000000−2i−2i2i2i−2i−2i2i2i2i−2i002i−2i000000000000-22000000
χ402-22-22-2-222-222-22-2-2000000002-200000000−2i−2i2i2i−2i−2i2i2i−2i2i00−2i2i0000000000002-2000000
χ412-22-22-2-22-22222-2-2-200000000-222i2i−2i−2i2i2i−2i−2i000000002i−2i00−2i2i00000000002-200000000
χ422-22-22-2-22-22222-2-2-200000000-222i2i−2i−2i2i2i−2i−2i00000000−2i2i002i−2i0000000000-2200000000
χ432-22-22-2-22-22222-2-2-200000000-22−2i−2i2i2i−2i−2i2i2i000000002i−2i00−2i2i0000000000-2200000000
χ442-22-22-2-22-22222-2-2-200000000-22−2i−2i2i2i−2i−2i2i2i00000000−2i2i002i−2i00000000002-200000000
χ45444-4-44-4-44400-4-4000000000000000000002222−22−22−22−22222200000000000000000000000000
χ46444-4-44-4-44400-4-400000000000000000000−22−2222222222−22−2200000000000000000000000000
χ47444-4-44-4-4-4-400440000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ48444-4-44-4-4-4-40044000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ4944-44-4-4-44004-4004-40000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000
χ5044-44-4-4-44004-4004-4000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000
χ5144-44-4-4-4400-4400-4400000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000
χ5244-44-4-4-4400-4400-440000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000
χ5344-4-44-44-400000000004i−4i0000002-2-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ5444-4-44-44-400000000004i−4i000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ5544-4-44-44-40000000000−4i4i0000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ5644-4-44-44-40000000000−4i4i000000-222-22-2-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ574-444-4-44-4-4400-44004i−4i00−4i4i0000000000000000000000000000000000000000000000
χ584-444-4-44-4-4400-4400−4i4i004i−4i0000000000000000000000000000000000000000000000
χ594-44-44-4-444-4-4-4-444400000000-44000000000000000000000000000000000000000000
χ604-44-44-4-44-44-4-44-444000000004-4000000000000000000000000000000000000000000
χ614-4-4444-4-4000000000000004i−4i002i−2i2i−2i−2i2i−2i2i2-22-2-22-2200000000000000000000000000
χ624-4-4444-4-4000000000000004i−4i00−2i2i−2i2i2i−2i2i−2i-22-222-22-200000000000000000000000000
χ634-4-4444-4-400000000000000−4i4i002i−2i2i−2i−2i2i−2i2i-22-222-22-200000000000000000000000000
χ644-4-4444-4-400000000000000−4i4i00−2i2i−2i2i2i−2i2i−2i2-22-2-22-2200000000000000000000000000
χ654-4-4-4-4444004-400-4400000000000000000022−22−222222−22−222200000000000000000000000000
χ664-4-4-4-4444004-400-44000000000000000000−222222−22−222222−2200000000000000000000000000
χ674-4-4-4-444400-44004-4000000000022−22−222222−22−22220000000000000000000000000000000000
χ684-4-4-4-444400-44004-40000000000−222222−22−222222−220000000000000000000000000000000000

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