Finite Group Databasebeta

← Group #10832465

Character table — Group #10832465

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888888888888888881212121224242424242448484848
order12222222344446666666222444466661212121212121212222224666666666666888812121212242424242424242488888888884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-111-1-1111111111111-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111111111111-1-111-1-1111111111111-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111
χ8111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ9111111-1-11111111-1-1-1-11-111-1-11111-1-1111-1-1-1-11-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-111-1-11-11-1
χ10111111-1-11111111-1-1-1-11-111-1-11111-1-1111-1-1-1-11-111-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-11-1-111-11-11
χ11111111-1-11111111-1-1-1-11-111-1-11111-1-1111-1-1-1-11-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-11-111-1-1-11-11
χ12111111-1-11111111-1-1-1-11-111-1-11111-1-1111-1-1-1-11-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-11-1-1111-11-1
χ13111111-1-11111111-1-1-1-11-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-11-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-1111-1-11
χ14111111-1-11111111-1-1-1-11-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-11-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1111-1-1-111-1
χ15111111-1-11111111-1-1-1-11-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11-1-1-111-111-1
χ16111111-1-11111111-1-1-1-11-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1111-1-11-1-11
χ17222222222-2-2-2-22222222200-2-2002222-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i0000
χ18222222222-2-2-2-22222222200-2-2002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ1922222222-12222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2022222222-12222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-111111111-2-2-2-2-1-1-1-11111111100000000000000
χ2122222222-12222-1-1-1-1-1-1-12-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-22222-21111-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000
χ2222222222-12222-1-1-1-1-1-1-12-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111122221111-1-1-1-1-1-1-1-100000000000000
χ23222222-2-22-2-2-2-222-2-2-2-22-200220022-2-2-2-2-22222-200000000000000000000000000000000000000002i−2i−2i2i0000
χ24222222-2-22-2-2-2-222-2-2-2-22-200220022-2-2-2-2-22222-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ25222222-2-2-12222-1-11111-1-222-2-222-1-111-1-1-11111-1-222-2-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000
χ26222222-2-2-12222-1-11111-1-222-2-222-1-111-1-1-11111-1-2-2-222-2-1-1111111-1-1-1-1-2-222-1-1111111-1-1-1-100000000000000
χ27222222-2-2-12222-1-11111-1-2-2-2-2-2-2-2-1-111-1-1-11111-1222-2-2211-1-1-1-1-1-11111-2-22211-1-11111-1-1-1-100000000000000
χ28222222-2-2-12222-1-11111-1-2-2-2-2-2-2-2-1-111-1-1-11111-12-2-222211-1-11111-1-1-1-122-2-211-1-1-1-1-1-1111100000000000000
χ292222-2-222222-2-22222222-2222-2-2-2-2-2-2-22-2-222-2-2220000-22222000000000000-2-2-2-20000000000000000000000
χ302222-2-222222-2-22222222-2-2-22-222-2-2-2-22-2-222-2-22-200002-2-2-2-200000000000022220000000000000000000000
χ312222-2-2222-2-2222222222-200-2200-2-2-2-2-222-2-222-200000000000000000000000000000000002222-2-200000000
χ322222-2-2222-2-2222222222-200-2200-2-2-2-2-222-2-222-20000000000000000000000000000000000-2-2-2-22200000000
χ332222-2-222-122-2-2-1-1-1-1-1-1-1-2222-2-2-21111-111-1-111-120000-2-1-1-1-1−i3−i3i3i3−i3−i3i3i300001111−i3−i3i3i3−i3−i3i3i300000000000000
χ342222-2-222-122-2-2-1-1-1-1-1-1-1-2222-2-2-21111-111-1-111-120000-2-1-1-1-1i3i3−i3−i3i3i3−i3−i300001111i3i3−i3−i3i3i3−i3−i300000000000000
χ352222-2-222-122-2-2-1-1-1-1-1-1-1-2-2-22-2221111-111-1-111-1-2000021111−i3−i3i3i3−i3−i3i3i30000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ362222-2-222-122-2-2-1-1-1-1-1-1-1-2-2-22-2221111-111-1-111-1-2000021111i3i3−i3−i3i3i3−i3−i30000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ372222-2-2-2-2222-2-222-2-2-2-22222-22-2-2-2-2222-2-2-2-2222-20000222-2-2000000000000-2-2220000000000000000000000
χ382222-2-2-2-2222-2-222-2-2-2-222-2-2-2222-2-2222-2-2-2-222220000-2-2-22200000000000022-2-20000000000000000000000
χ392222-2-2-2-22-2-22222-2-2-2-222002-200-2-222-22222-2-2-2000000000000000000000000000000000022-2-2-2200000000
χ402222-2-2-2-22-2-22222-2-2-2-222002-200-2-222-22222-2-2-20000000000000000000000000000000000-2-2222-200000000
χ412222-2-2-2-2-122-2-2-1-11111-1222-22-2-211-1-1-11111-1-1-1-200002-1-111−i3−i3i3i3i3i3−i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ422222-2-2-2-2-122-2-2-1-11111-1222-22-2-211-1-1-11111-1-1-1-200002-1-111i3i3−i3−i3−i3−i3i3i3000011-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ432222-2-2-2-2-122-2-2-1-11111-12-2-2-222211-1-1-11111-1-1-120000-211-1-1−i3−i3i3i3i3i3−i3−i30000-1-111i3i3−i3−i3−i3−i3i3i300000000000000
χ442222-2-2-2-2-122-2-2-1-11111-12-2-2-222211-1-1-11111-1-1-120000-211-1-1i3i3−i3−i3−i3−i3i3i30000-1-111−i3−i3i3i3i3i3−i3−i300000000000000
χ452-2-222-2002-222-2-2-20000202-2002-22-200-22-2000020002-202-20000002-22-2002-22-20000002-22-200000000000000
χ462-2-222-2002-222-2-2-20000202-2002-22-200-22-200002000-2202-2000000-22-2200-222-2000000-22-2200000000000000
χ472-2-222-2002-222-2-2-2000020-2200-222-200-22-2000020002-20-220000002-22-200-22-22000000-22-2200000000000000
χ482-2-222-2002-222-2-2-2000020-2200-222-200-22-200002000-220-22000000-22-22002-2-220000002-22-200000000000000
χ492-2-222-200-1-222-211−i3−i3i3i3-102-2002-2-11−i3i31-11−i3i3−i3i3-10002-20-11−i3i3−i3i3−i3i3-11-11002-2-11−i3i3−i3i3−i3i3-11-1100000000000000
χ502-2-222-200-1-222-211−i3−i3i3i3-102-2002-2-11−i3i31-11−i3i3−i3i3-1000-220-11−i3i3i3−i3i3−i31-11-100-22-11−i3i3i3−i3i3−i31-11-100000000000000
χ512-2-222-200-1-222-211−i3−i3i3i3-10-2200-22-11−i3i31-11−i3i3−i3i3-10002-201-1i3−i3−i3i3−i3i3-11-1100-221-1i3−i3i3−i3i3−i31-11-100000000000000
χ522-2-222-200-1-222-211−i3−i3i3i3-10-2200-22-11−i3i31-11−i3i3−i3i3-1000-2201-1i3−i3i3−i3i3−i31-11-1002-21-1i3−i3−i3i3−i3i3-11-1100000000000000
χ532-2-222-200-1-222-211i3i3−i3−i3-102-2002-2-11i3−i31-11i3−i3i3−i3-10002-20-11i3−i3i3−i3i3−i3-11-11002-2-11i3−i3i3−i3i3−i3-11-1100000000000000
χ542-2-222-200-1-222-211i3i3−i3−i3-102-2002-2-11i3−i31-11i3−i3i3−i3-1000-220-11i3−i3−i3i3−i3i31-11-100-22-11i3−i3−i3i3−i3i31-11-100000000000000
χ552-2-222-200-1-222-211i3i3−i3−i3-10-2200-22-11i3−i31-11i3−i3i3−i3-10002-201-1−i3i3i3−i3i3−i3-11-1100-221-1−i3i3−i3i3−i3i31-11-100000000000000
χ562-2-222-200-1-222-211i3i3−i3−i3-10-2200-22-11i3−i31-11i3−i3i3−i3-1000-2201-1−i3i3−i3i3−i3i31-11-1002-21-1−i3i3i3−i3i3−i3-11-1100000000000000
χ572-2-22-22002-22-22-2-20000202-200-22-2200-2-220000202-20002-2002-2-2200002-200-22002-2-22000000000000000000
χ582-2-22-22002-22-22-2-20000202-200-22-2200-2-22000020-220002-200-222-20000-2200-2200-222-2000000000000000000
χ592-2-22-22002-22-22-2-2000020-22002-2-2200-2-220000202-2000-22002-2-220000-22002-200-222-2000000000000000000
χ602-2-22-22002-22-22-2-2000020-22002-2-2200-2-22000020-22000-2200-222-200002-2002-2002-2-22000000000000000000
χ612-2-22-2200-1-22-2211−i3−i3i3i3-102-200-221-1i3−i311-1−i3i3i3−i3-102-2000-11−i3i3-111-1−i3i3i3−i32-2001-1i3−i3-111-1−i3i3i3−i300000000000000
χ622-2-22-2200-1-22-2211−i3−i3i3i3-102-200-221-1i3−i311-1−i3i3i3−i3-10-22000-11−i3i31-1-11i3−i3−i3i3-22001-1i3−i31-1-11i3−i3−i3i300000000000000
χ632-2-22-2200-1-22-2211−i3−i3i3i3-10-22002-21-1i3−i311-1−i3i3i3−i3-102-20001-1i3−i3-111-1−i3i3i3−i3-2200-11−i3i31-1-11i3−i3−i3i300000000000000
χ642-2-22-2200-1-22-2211−i3−i3i3i3-10-22002-21-1i3−i311-1−i3i3i3−i3-10-220001-1i3−i31-1-11i3−i3−i3i32-200-11−i3i3-111-1−i3i3i3−i300000000000000
χ652-2-22-2200-1-22-2211i3i3−i3−i3-102-200-221-1−i3i311-1i3−i3−i3i3-102-2000-11i3−i3-111-1i3−i3−i3i32-2001-1−i3i3-111-1i3−i3−i3i300000000000000
χ662-2-22-2200-1-22-2211i3i3−i3−i3-102-200-221-1−i3i311-1i3−i3−i3i3-10-22000-11i3−i31-1-11−i3i3i3−i3-22001-1−i3i31-1-11−i3i3i3−i300000000000000
χ672-2-22-2200-1-22-2211i3i3−i3−i3-10-22002-21-1−i3i311-1i3−i3−i3i3-102-20001-1−i3i3-111-1i3−i3−i3i3-2200-11i3−i31-1-11−i3i3i3−i300000000000000
χ682-2-22-2200-1-22-2211i3i3−i3−i3-10-22002-21-1−i3i311-1i3−i3−i3i3-10-220001-1−i3i31-1-11−i3i3i3−i32-200-11i3−i3-111-1i3−i3−i3i300000000000000
χ6944444444-2-4-4-4-4-2-2-2-2-2-2-2400-4-400-2-2-2-222222222000000000000000000000000000000000000000000000000
χ70444444-4-4-2-4-4-4-4-2-22222-2-4004400-2-222222-2-2-2-22000000000000000000000000000000000000000000000000
χ714444-4-444-2-4-444-2-2-2-2-2-2-2-400-440022222-2-222-2-22000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-444-2-22222-24004-40022-2-22-2-2-2-2222000000000000000000000000000000000000000000000000
χ7344-4-4004-4400004-44-44-4-400000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ7444-4-4004-4400004-44-44-4-4000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ7544-4-400-44400004-4-44-44-400000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ7644-4-400-44400004-4-44-44-4000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ774-4-444-40044-4-44-4-40000400000004-4004-440000-4000000000000000000000000000000000000000000000000
χ784-4-444-400-24-4-4422−2i3−2i32i32i3-20000000-22−2i32i3-22-22i3−2i32i3−2i32000000000000000000000000000000000000000000000000
χ794-4-444-400-24-4-44222i32i3−2i3−2i3-20000000-222i3−2i3-22-2−2i32i3−2i32i32000000000000000000000000000000000000000000000000
χ804-4-44-440044-44-4-4-4000040000000-440044-40000-4000000000000000000000000000000000000000000000000
χ814-4-44-4400-24-44-422−2i3−2i32i32i3-200000002-22i3−2i3-2-222i3−2i3−2i32i32000000000000000000000000000000000000000000000000
χ824-4-44-4400-24-44-4222i32i3−2i3−2i3-200000002-2−2i32i3-2-22−2i32i32i3−2i32000000000000000000000000000000000000000000000000
χ8388-8-8008-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-88-40000-444-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8000080000-880000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-88-80000-400004-4−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ878-88-80000-400004-44i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000000000000000

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