Finite Group Databasebeta

← Group #10859062

Character table — Group #10859062

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222444444444444444444444444444444444444888888888888888888888888882424242424242424242424244848
order12222222344446666666224444444444666612121212121212121212121212121212121212124444444412121212121212121212121212121212121244448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ911111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ1011111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ1111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11
χ1211111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111-1
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-1-1-11
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1111-1
χ17222222222-2-2-2-2222222222-2-200002222222222222222-2-2-2-200000000000000-2-2-2-20000-2-200000000-2-200000000000000
χ18222222222-2-2-2-2222222222-2-20000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000022220000-2-2000000002200000000000000
χ19222222222-2-2-2-22222222-2-222000022-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000002-2-2-2000022000000002200000000000000
χ20222222222-2-2-2-22222222-2-2220000-2-222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000-222200002200000000-2-200000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2111111-1-11111-1-1-1-11100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-222-1-11111-1-111111111-1-100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111112222-2-2-2-211-1-1-1-1-1-1-1-1-1-111111100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-22-1-1-1-1-1-111111111111100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-22-211111111-1-1-1-11111-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-21111-1-1-1-11111-1-1-1-111111111-2-22222-22-1-1111111-1-1-1-1-1-1-1-11100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22211111111-1-1-1-1-1-1-1-11111111122-2-2222-211-1-1-1-1111111-1-1-1-1-1-100000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-200002222-1-1-1-1-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3000000-2-211−i3−i3i3i311−i3−i3i3i3−i3−i3i3i31100000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-200002222-1-1-1-1-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3000000-2-211i3i3−i3−i311i3i3−i3−i3i3i3−i3−i31100000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-20000-2-2-2-2-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i300000022-1-1i3i3−i3−i311i3i3−i3−i3−i3−i3i3i3-1-100000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-20000-2-2-2-2-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i300000022-1-1−i3−i3i3i311−i3−i3i3i3i3i3−i3−i3-1-100000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222000022-2-21111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i30000002-211−i3−i3i3i3-1-1i3i3−i3−i3i3i3−i3−i3-1-100000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222000022-2-21111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i30000002-211i3i3−i3−i3-1-1−i3−i3i3i3−i3−i3i3i3-1-100000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2220000-2-22211111111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3000000-22-1-1i3i3−i3−i3-1-1−i3−i3i3i3i3i3−i3−i31100000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2220000-2-22211111111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3000000-22-1-1−i3−i3i3i3-1-1i3i3−i3−i3−i3−i3i3i31100000000000000
χ372222-2-2-2-2222-2-22-2-2-222-22-22-20000000022-2-20000000022-2-2000000002-22-20000002-22-22-22-22-200000000000000000000
χ382222-2-2-2-2222-2-22-2-2-222-22-22-20000000022-2-20000000022-2-200000000-22-22000000-22-222-2-22-2200000000000000000000
χ392222-2-2-2-2222-2-22-2-2-222-2-22-2200000000-2-2220000000022-2-2000000002-2-220000002-22-2-22-22-2200000000000000000000
χ402222-2-2-2-2222-2-22-2-2-222-2-22-2200000000-2-2220000000022-2-200000000-222-2000000-22-22-222-22-200000000000000000000
χ412222-2-2-2-22-2-2222-2-2-222-22-2-222i2i−2i−2i000022-2-200000000-2-2222i2i−2i−2i2i2i−2i−2i00002i−2i00000000-2200002i−2i2i−2i0000000000000000
χ422222-2-2-2-22-2-2222-2-2-222-22-2-22−2i−2i2i2i000022-2-200000000-2-222−2i−2i2i2i−2i−2i2i2i0000−2i2i00000000-220000−2i2i−2i2i0000000000000000
χ432222-2-2-2-22-2-2222-2-2-222-2-222-22i2i−2i−2i0000-2-22200000000-2-2222i2i−2i−2i2i2i−2i−2i0000−2i2i000000002-20000−2i2i−2i2i0000000000000000
χ442222-2-2-2-22-2-2222-2-2-222-2-222-2−2i−2i2i2i0000-2-22200000000-2-222−2i−2i2i2i−2i−2i2i2i00002i−2i000000002-200002i−2i2i−2i0000000000000000
χ452222-2-2-2-2-122-2-2-1111-1-112-22-200000000-1-11133−3−333−3−3-1-11133−3−3−3−3332-22-200003−3-11-11-11-11-113−3−333−300000000000000
χ462222-2-2-2-2-122-2-2-1111-1-112-22-200000000-1-11133−3−333−3−3-1-111−3−33333−3−3-22-2200003−31-11-1-111-11-1−333−33−300000000000000
χ472222-2-2-2-2-122-2-2-1111-1-112-22-200000000-1-111−3−333−3−333-1-11133−3−3−3−333-22-220000−331-11-1-111-11-13−3−33−3300000000000000
χ482222-2-2-2-2-122-2-2-1111-1-112-22-200000000-1-111−3−333−3−333-1-111−3−33333−3−32-22-20000−33-11-11-11-11-11−333−3−3300000000000000
χ492222-2-2-2-2-122-2-2-1111-1-11-22-220000000011-1-133−3−3−3−333-1-11133−3−3−3−3332-2-2200003−3-11-111-11-11-1−333−3−3300000000000000
χ502222-2-2-2-2-122-2-2-1111-1-11-22-220000000011-1-133−3−3−3−333-1-111−3−33333−3−3-222-200003−31-11-11-1-11-113−3−33−3300000000000000
χ512222-2-2-2-2-122-2-2-1111-1-11-22-220000000011-1-1−3−33333−3−3-1-11133−3−3−3−333-222-20000−331-11-11-1-11-11−333−33−300000000000000
χ522222-2-2-2-2-122-2-2-1111-1-11-22-220000000011-1-1−3−33333−3−3-1-111−3−33333−3−32-2-220000−33-11-111-11-11-13−3−333−300000000000000
χ532222-2-2-2-2-1-2-222-1111-1-112-2-222i2i−2i−2i0000-1-11133−3−333−3−311-1-1−i−iii−i−iii00002i−2i00−33−i3i3i3−i31-1−i3i3i3−i3−ii−ii−3300000000000000
χ542222-2-2-2-2-1-2-222-1111-1-112-2-222i2i−2i−2i0000-1-111−3−333−3−33311-1-1−i−iii−i−iii00002i−2i003−3i3−i3−i3i31-1i3−i3−i3i3−ii−ii3−300000000000000
χ552222-2-2-2-2-1-2-222-1111-1-112-2-22−2i−2i2i2i0000-1-11133−3−333−3−311-1-1ii−i−iii−i−i0000−2i2i00−33i3−i3−i3i31-1i3−i3−i3i3i−ii−i−3300000000000000
χ562222-2-2-2-2-1-2-222-1111-1-112-2-22−2i−2i2i2i0000-1-111−3−333−3−33311-1-1ii−i−iii−i−i0000−2i2i003−3−i3i3i3−i31-1−i3i3i3−i3i−ii−i3−300000000000000
χ572222-2-2-2-2-1-2-222-1111-1-11-222-22i2i−2i−2i000011-1-133−3−3−3−33311-1-1−i−iii−i−iii0000−2i2i00−33−i3i3i3−i3-11i3−i3−i3i3i−ii−i3−300000000000000
χ582222-2-2-2-2-1-2-222-1111-1-11-222-22i2i−2i−2i000011-1-1−3−33333−3−311-1-1−i−iii−i−iii0000−2i2i003−3i3−i3−i3i3-11−i3i3i3−i3i−ii−i−3300000000000000
χ592222-2-2-2-2-1-2-222-1111-1-11-222-2−2i−2i2i2i000011-1-133−3−3−3−33311-1-1ii−i−iii−i−i00002i−2i00−33i3−i3−i3i3-11−i3i3i3−i3−ii−ii3−300000000000000
χ602222-2-2-2-2-1-2-222-1111-1-11-222-2−2i−2i2i2i000011-1-1−3−33333−3−311-1-1ii−i−iii−i−i00002i−2i003−3−i3i3i3−i3-11i3−i3−i3i3−ii−ii−3300000000000000
χ612-2-2222-2-222-22-2-22-2-2-22200002-22-200000000000000002-22-22-22-22-22-2000000000000000000000000002i−2i00002i−2i000000
χ622-2-2222-2-222-22-2-22-2-2-22200002-22-200000000000000002-22-22-22-22-22-200000000000000000000000000−2i2i0000−2i2i000000
χ632-2-2222-2-222-22-2-22-2-2-2220000-22-2200000000000000002-22-2-22-22-22-22000000000000000000000000002i−2i0000−2i2i000000
χ642-2-2222-2-222-22-2-22-2-2-2220000-22-2200000000000000002-22-2-22-22-22-2200000000000000000000000000−2i2i00002i−2i000000
χ652-2-22-2-2222-222-2-2-222-22-200002i−2i−2i2i0000000000000000-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000002-200002i−2i0000
χ662-2-22-2-2222-222-2-2-222-22-200002i−2i−2i2i0000000000000000-222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000-220000−2i2i0000
χ672-2-22-2-2222-222-2-2-222-22-20000−2i2i2i−2i0000000000000000-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000002-20000−2i2i0000
χ682-2-22-2-2222-222-2-2-222-22-20000−2i2i2i−2i0000000000000000-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000-2200002i−2i0000
χ6944-4-44-4-44400004-44-4-4-4400000000004i−4i000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ7044-4-44-4-44400004-44-4-4-440000000000−4i4i00000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ7144-4-44-4-44-20000-22-2222-200000000004i−4i−2i32i3−2i32i323−2323−23−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7244-4-44-4-44-20000-22-2222-200000000004i−4i2i3−2i32i3−2i3−2323−2323−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7344-4-44-4-44-20000-22-2222-20000000000−4i4i−2i32i3−2i32i3−2323−23232i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7444-4-44-4-44-20000-22-2222-20000000000−4i4i2i3−2i32i3−2i323−2323−232i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7544-4-4-444-44000044-44-4-4-4000000004-40000004-4-4400000000000000000000000000000000000000000000000000000000
χ7644-4-4-444-44000044-44-4-4-400000000-44000000-444-400000000000000000000000000000000000000000000000000000000
χ7744-4-4-444-4-20000-2-22-2222000000004-400−2i32i32i3−2i3-222-2−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ7844-4-4-444-4-20000-2-22-2222000000004-4002i3−2i3−2i32i3-222-22i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ7944-4-4-444-4-20000-2-22-222200000000-4400−2i32i32i3−2i32-2-222i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ8044-4-4-444-4-20000-2-22-222200000000-44002i3−2i3−2i32i32-2-22−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ814-44-44-44-440000-4-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ824-44-44-44-440000-4-4-444-440000000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ834-44-4-44-4440000-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200000000
χ844-44-4-44-4440000-444-44-4-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200000000
χ854-4-4444-4-44-44-44-44-4-4-444000000000000000000000000-44-44000000000000000000000000000000000000000000000000
χ864-4-4444-4-4-24-44-42-2222-2-200004-44-40000000000000000-22-22-22-22-22-220000000000000000000000000000000000000000
χ874-4-4444-4-4-24-44-42-2222-2-20000-44-440000000000000000-22-222-22-22-22-20000000000000000000000000000000000000000
χ884-4-4444-4-4-2-44-442-2222-2-20000000000000000000000002-22-2−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000
χ894-4-4444-4-4-2-44-442-2222-2-20000000000000000000000002-22-22i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000
χ904-4-44-4-44444-4-44-4-444-44-40000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ914-4-44-4-444-24-4-4422-2-22-22000000000000000000000000-222-223−23−2323−232323−230000000000000000000000000000000000000000
χ924-4-44-4-444-24-4-4422-2-22-22000000000000000000000000-222-2−232323−2323−23−23230000000000000000000000000000000000000000
χ934-4-44-4-444-2-444-422-2-22-2200004i−4i−4i4i00000000000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ944-4-44-4-444-2-444-422-2-22-220000−4i4i4i−4i00000000000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ958-88-88-88-8-40000444-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-88-400004-4-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000

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