Finite Group Databasebeta

← Group #10849385

Character table — Group #10849385

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444444444444888888888888888888888888888888882424242424242424242424244848
order1222222222344666444444466666612121212121212121212121222244444446666661212121212121212121212121212121244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ81111111111111111-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ911111111111-1-111111-1-1-1111111111111-1-1-1-11111-11-1-11-11-11-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-111111-1-1-1111111111111-1-1-1-11111-11-1-11-11-11-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-11
χ1111111111111-1-111111-1-1-1111111111111-1-1-1-11111-1-11-1-11-11-11-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111-1
χ1211111111111-1-111111-1-1-1111111111111-1-1-1-11111-1-11-1-11-11-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-11
χ1311111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-111111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-11
χ1411111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-111-11-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ1611111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-111-11-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ172222222222-122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222222222-122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-2-1-11111-1-111111111-1-1111100000000000000
χ192222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-11111-1-1-1-11111-222-222-2-2-2-211-1-1-1-111-1-1-1-11111-1-1111100000000000000
χ202222222222-122-1-1-1-2-2222-2-2-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-100000000000000
χ212222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-22-2-22-22-22-211-1-11111-1-111-1-11111-1-11100000000000000
χ222222222222-1-2-2-1-1-122-2-2-222-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-22-2-22-22-221111-1-11111-1-111-1-11111-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-111111111111122-222-2-22-22-1-1-1-111-1-1-1-11111-1-11111-1-100000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-11111111111112-222-222-22-2-1-111-1-1-1-111-1-1-1-11111-1-11100000000000000
χ2522222-2-2-2-22222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2002000000-2-200002200000000-2-2000000000000000000
χ2622222-2-2-2-22222222-2-22-2-22222-2-2-2-2-2-2-2-222222222200-2000000220000-2-200000000-2-2000000000000000000
χ2722222-2-2-2-222-2-222222-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2200-2000000220000-2-20000000022000000000000000000
χ2822222-2-2-2-222-2-2222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2002000000-2-20000220000000022000000000000000000
χ2922222-2-2-2-22-122-1-1-1222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-200200000011−i3i3−i3i3-1-1−i3i3−i3i3−i3i3−i3i311−i3i3−i3i300000000000000
χ3022222-2-2-2-22-122-1-1-1222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-200200000011i3−i3i3−i3-1-1i3−i3i3−i3i3−i3i3−i311i3−i3i3−i300000000000000
χ3122222-2-2-2-22-122-1-1-1-2-22-2-222-1-111111111-1-1-1-1-1-1-1-1200-2000000-1-1−i3i3−i3i311−i3i3−i3i3i3−i3i3−i311i3−i3i3−i300000000000000
χ3222222-2-2-2-22-122-1-1-1-2-22-2-222-1-111111111-1-1-1-1-1-1-1-1200-2000000-1-1i3−i3i3−i311i3−i3i3−i3−i3i3−i3i311−i3i3−i3i300000000000000
χ3322222-2-2-2-22-1-2-2-1-1-122-222-2-2-1-11111-1-1-1-111111111200-2000000-1-1−i3i3i3−i311−i3i3i3−i3−i3i3i3−i3-1-1−i3i3i3−i300000000000000
χ3422222-2-2-2-22-1-2-2-1-1-122-222-2-2-1-11111-1-1-1-111111111200-2000000-1-1i3−i3−i3i311i3−i3−i3i3i3−i3−i3i3-1-1i3−i3−i3i300000000000000
χ3522222-2-2-2-22-1-2-2-1-1-1-2-2-22222-1-1111111111111-1-1-1-1-200200000011−i3i3i3−i3-1-1−i3i3i3−i3i3−i3−i3i3-1-1i3−i3−i3i300000000000000
χ3622222-2-2-2-22-1-2-2-1-1-1-2-2-22222-1-1111111111111-1-1-1-1-200200000011i3−i3−i3i3-1-1i3−i3−i3i3−i3i3i3−i3-1-1−i3i3i3−i300000000000000
χ372222-222-2-2-222222200-22-200-2-222-2-2000022-2-200000000002-2-2200000000000022-2-22-2-2-22200000000000000
χ382222-222-2-2-222222200-22-200-2-222-2-2000022-2-20000000000-222-2000000000000-2-2222-222-2-200000000000000
χ392222-222-2-2-22-2-2222002-2200-2-222-2-20000-2-222000000000022-2-20000000000002222-22-2-2-2-200000000000000
χ402222-222-2-2-22-2-2222002-2200-2-222-2-20000-2-2220000000000-2-222000000000000-2-2-2-2-22222200000000000000
χ412222-222-2-2-2-122-1-1-100-22-20011-1-111−i3−i3i3i3-1-111−i3−i3i3i30000002-2-22−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3-1-111-1111-1-100000000000000
χ422222-222-2-2-2-122-1-1-100-22-20011-1-111−i3−i3i3i3-1-111−i3−i3i3i3000000-222-2−i3i3i3−i3−i3i3−i3i3−i3i3i3−i311-1-1-11-1-11100000000000000
χ432222-222-2-2-2-122-1-1-100-22-20011-1-111i3i3−i3−i3-1-111i3i3−i3−i30000002-2-22i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3-1-111-1111-1-100000000000000
χ442222-222-2-2-2-122-1-1-100-22-20011-1-111i3i3−i3−i3-1-111i3i3−i3−i3000000-222-2i3−i3−i3i3i3−i3i3−i3i3−i3−i3i311-1-1-11-1-11100000000000000
χ452222-222-2-2-2-1-2-2-1-1-1002-220011-1-111−i3−i3i3i311-1-1−i3−i3i3i300000022-2-2i3−i3−i3i3−i3i3i3−i3i3−i3i3−i3-1-1-1-11-1111100000000000000
χ462222-222-2-2-2-1-2-2-1-1-1002-220011-1-111−i3−i3i3i311-1-1−i3−i3i3i3000000-2-222i3−i3i3−i3i3−i3i3−i3−i3i3−i3i311111-1-1-1-1-100000000000000
χ472222-222-2-2-2-1-2-2-1-1-1002-220011-1-111i3i3−i3−i311-1-1i3i3−i3−i300000022-2-2−i3i3i3−i3i3−i3−i3i3−i3i3−i3i3-1-1-1-11-1111100000000000000
χ482222-222-2-2-2-1-2-2-1-1-1002-220011-1-111i3i3−i3−i311-1-1i3i3−i3−i3000000-2-222−i3i3−i3i3−i3i3−i3i3i3−i3i3−i311111-1-1-1-1-100000000000000
χ492222-2-2-222-222222200-2-2200-2-2-2-222000022-2-2000002-20-2200000022-2-200-2-2220000-22000000000000000000
χ502222-2-2-222-222222200-2-2200-2-2-2-222000022-2-200000-2202-2000000-2-2220022-2-20000-22000000000000000000
χ512222-2-2-222-22-2-22220022-200-2-2-2-2220000-2-22200000220-2-2000000222200-2-2-2-200002-2000000000000000000
χ522222-2-2-222-22-2-22220022-200-2-2-2-2220000-2-22200000-2-2022000000-2-2-2-200222200002-2000000000000000000
χ532222-2-2-222-2-122-1-1-100-2-22001111-1-1−i3−i3i3i3-1-111i3i3−i3−i302-20-220000i3−i3-1-111−i3i311-1-1−i3i3i3−i31-1i3−i3−i3i300000000000000
χ542222-2-2-222-2-122-1-1-100-2-22001111-1-1−i3−i3i3i3-1-111i3i3−i3−i30-2202-20000i3−i311-1-1−i3i3-1-111i3−i3−i3i31-1−i3i3i3−i300000000000000
χ552222-2-2-222-2-122-1-1-100-2-22001111-1-1i3i3−i3−i3-1-111−i3−i3i3i302-20-220000−i3i3-1-111i3−i311-1-1i3−i3−i3i31-1−i3i3i3−i300000000000000
χ562222-2-2-222-2-122-1-1-100-2-22001111-1-1i3i3−i3−i3-1-111−i3−i3i3i30-2202-20000−i3i311-1-1i3−i3-1-111−i3i3i3−i31-1i3−i3−i3i300000000000000
χ572222-2-2-222-2-1-2-2-1-1-10022-2001111-1-1−i3−i3i3i311-1-1i3i3−i3−i30220-2-20000−i3i3-1-1-1-1i3−i31111−i3i3−i3i3-11i3−i3i3−i300000000000000
χ582222-2-2-222-2-1-2-2-1-1-10022-2001111-1-1−i3−i3i3i311-1-1i3i3−i3−i30-2-20220000−i3i31111i3−i3-1-1-1-1i3−i3i3−i3-11−i3i3−i3i300000000000000
χ592222-2-2-222-2-1-2-2-1-1-10022-2001111-1-1i3i3−i3−i311-1-1−i3−i3i3i30220-2-20000i3−i3-1-1-1-1−i3i31111i3−i3i3−i3-11−i3i3−i3i300000000000000
χ602222-2-2-222-2-1-2-2-1-1-10022-2001111-1-1i3i3−i3−i311-1-1−i3−i3i3i30-2-20220000i3−i31111−i3i3-1-1-1-1−i3i3−i3i3-11i3−i3i3−i300000000000000
χ6122-2-2-22-22-222002-2-22i−2i0002i−2i2-22-22-22i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000000000002i−2i002-200
χ6222-2-2-22-22-222002-2-22i−2i0002i−2i2-22-22-22i−2i2i−2i00002i−2i2i−2i00000000000000000000000000000000000000−2i2i00-2200
χ6322-2-2-22-22-222002-2-2−2i2i000−2i2i2-22-22-2−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000000000000000002i−2i00-2200
χ6422-2-2-22-22-222002-2-2−2i2i000−2i2i2-22-22-2−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000000000000000−2i2i002-200
χ6522-2-2-2-22-2222002-2-22i−2i000−2i2i2-2-22-222i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000002i−2i002-20000
χ6622-2-2-2-22-2222002-2-22i−2i000−2i2i2-2-22-222i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000000000−2i2i00-220000
χ6722-2-2-2-22-2222002-2-2−2i2i0002i−2i2-2-22-22−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000002i−2i00-220000
χ6822-2-2-2-22-2222002-2-2−2i2i0002i−2i2-2-22-22−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000000000−2i2i002-20000
χ6944-4-444-4-44-44004-4-40000000-444-4-440000000000000000000000000000000000000000000000000000000000
χ7044-4-444-4-44-4-200-22200000002-2-222-223−23−2323000023−23−23230000000000000000000000000000000000000000000000
χ7144-4-444-4-44-4-200-22200000002-2-222-2−232323−230000−232323−230000000000000000000000000000000000000000000000
χ7244-4-44-444-4-44004-4-40000000-44-444-40000000000000000000000000000000000000000000000000000000000
χ7344-4-44-444-4-4-200-22200000002-22-2-2223−23−23230000−232323−230000000000000000000000000000000000000000000000
χ7444-4-44-444-4-4-200-22200000002-22-2-22−232323−23000023−23−23230000000000000000000000000000000000000000000000
χ7544-4-4-44-44-44-200-2224i−4i0004i−4i-22-22-22−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000000000000000000000
χ7644-4-4-44-44-44-200-222−4i4i000−4i4i-22-22-222i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000000000000000000000
χ7744-4-4-4-44-444-200-2224i−4i000−4i4i-222-22-2−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000000000000000
χ7844-4-4-4-44-444-200-222−4i4i0004i−4i-222-22-22i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000000000000000
χ794-44-400000044i−4i-44-4000000000000000004i−4i000000000000000000000000000000000000002-22i−2i0000000000
χ804-44-400000044i−4i-44-4000000000000000004i−4i00000000000000000000000000000000000000-22−2i2i0000000000
χ814-44-40000004−4i4i-44-400000000000000000−4i4i000000000000000000000000000000000000002-2−2i2i0000000000
χ824-44-40000004−4i4i-44-400000000000000000−4i4i00000000000000000000000000000000000000-222i−2i0000000000
χ838-88-8000000-48i−8i4-4400000000000000000−4i4i0000000000000000000000000000000000000000000000000000
χ848-88-8000000-4−8i8i4-44000000000000000004i−4i0000000000000000000000000000000000000000000000000000
χ858-8-88000000800-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88000000-40044-40000000000000000000−4i34i300000000000000000000000000000000000000000000000000
χ878-8-88000000-40044-400000000000000000004i3−4i300000000000000000000000000000000000000000000000000

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