Finite Group Databasebeta

← Group #10848334

Character table — Group #10848334

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444444444444888888888888888888888888888888882424242424242424242424244848
order122222222234466644444446666661212121212121212121212122244444444666612121212121212121212121212121212121222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ911111111111-1-1111-1-1-11111111111-1-1-1-1111111111-1-11-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1111-1-1-11111111111-1-1-1-1111111111-1-11-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1111-1-1-11111111111-1-1-1-111111111-11-1-11-11-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1
χ1211111111111-1-1111-1-1-11111111111-1-1-1-111111111-11-1-11-11-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11
χ1311111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11
χ1411111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-11111-1-1-11
χ1611111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111-1
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
χ182222222222-122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-2-2-22-2-21111-1-1-1-1-1-111111111111100000000000000
χ192222222222-122-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111112-2-222-2-2-22-2-1-111-1-11111-1-1-1-1-1-111111100000000000000
χ202222222222-122-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-22-2-2-222-2-2211-1-1-1-11111111111-1-1-1-1-1-100000000000000
χ212222222222-1-2-2-1-1-1-2-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-12-2-22-22-2-2-22-1-111111111-1-11111-1-1-1-11100000000000000
χ222222222222-1-2-2-1-1-1-2-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-22-2-22-22-22-211-1-111111111-1-1-1-11111-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-11111111111112222-2-222-2-2-1-1-1-111-1-1-1-1-1-111111111-1-100000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111-2-22-222-2222111111-1-1-1-111-1-1-1-1-1-1-1-11100000000000000
χ2522222-2-2-22-22222222-2-2000022-2-2-2-222-2-20000000002000-2-200200222-2000000000022-2-2-2-200000000000000
χ2622222-2-2-22-22222222-2-2000022-2-2-2-222-2-2000000000-20002200-200-2-22-20000000000-2-2222200000000000000
χ2722222-2-2-22-22-2-2222-222000022-2-2-2-2-2-22200000000020002-200-20022-220000000000-2-222-2-200000000000000
χ2822222-2-2-22-22-2-2222-222000022-2-2-2-2-2-222000000000-2000-2200200-2-2-22000000000022-2-22200000000000000
χ2922222-2-2-22-2-122-1-1-12-2-20000-1-11111-1-111−i3−i3−i3−i3i3i3i3i302000-2-2002−i3i3-1-1-11−i3−i3i3i3−i3i3−i3−i3i3i3-1-1111100000000000000
χ3022222-2-2-22-2-122-1-1-12-2-20000-1-11111-1-111−i3−i3−i3−i3i3i3i3i30-20002200-2i3−i311-11−i3−i3i3i3i3−i3i3i3−i3−i311-1-1-1-100000000000000
χ3122222-2-2-22-2-122-1-1-12-2-20000-1-11111-1-111i3i3i3i3−i3−i3−i3−i302000-2-2002i3−i3-1-1-11i3i3−i3−i3i3−i3i3i3−i3−i3-1-1111100000000000000
χ3222222-2-2-22-2-122-1-1-12-2-20000-1-11111-1-111i3i3i3i3−i3−i3−i3−i30-20002200-2−i3i311-11i3i3−i3−i3−i3i3−i3−i3i3i311-1-1-1-100000000000000
χ3322222-2-2-22-2-1-2-2-1-1-1-2220000-1-1111111-1-1−i3−i3−i3−i3i3i3i3i3020002-200-2i3−i3-1-11-1i3i3−i3−i3i3−i3−i3−i3i3i311-1-11100000000000000
χ3422222-2-2-22-2-1-2-2-1-1-1-2220000-1-1111111-1-1−i3−i3−i3−i3i3i3i3i30-2000-22002−i3i3111-1i3i3−i3−i3−i3i3i3i3−i3−i3-1-111-1-100000000000000
χ3522222-2-2-22-2-1-2-2-1-1-1-2220000-1-1111111-1-1i3i3i3i3−i3−i3−i3−i3020002-200-2−i3i3-1-11-1−i3−i3i3i3−i3i3i3i3−i3−i311-1-11100000000000000
χ3622222-2-2-22-2-1-2-2-1-1-1-2220000-1-1111111-1-1i3i3i3i3−i3−i3−i3−i30-2000-22002i3−i3111-1−i3−i3i3i3i3−i3−i3−i3i3i3-1-111-1-100000000000000
χ372222-22-2-2-22222222-22-20000-2-222-2-222-2-200000000200-2-2000202200-220000-2-22-22-200000000000000000000
χ382222-22-2-2-22222222-22-20000-2-222-2-222-2-200000000-20022000-20-2-200-22000022-22-2200000000000000000000
χ392222-22-2-2-222-2-22222-220000-2-222-2-2-2-22200000000200-22000-2022002-20000-2-2-22-2200000000000000000000
χ402222-22-2-2-222-2-22222-220000-2-222-2-2-2-22200000000-2002-200020-2-2002-20000222-22-200000000000000000000
χ412222-22-2-2-22-122-1-1-1-22-2000011-1-111-1-111−i3−i3i3i3−i3−i3i3i3200-2-200020-1-1−i3i31-1−i3i3−i3i311-11-11−i3i3−i3i3−i3i300000000000000
χ422222-22-2-2-22-122-1-1-1-22-2000011-1-111-1-111−i3−i3i3i3−i3−i3i3i3-20022000-2011i3−i31-1−i3i3−i3i3-1-11-11-1i3−i3i3−i3i3−i300000000000000
χ432222-22-2-2-22-122-1-1-1-22-2000011-1-111-1-111i3i3−i3−i3i3i3−i3−i3200-2-200020-1-1i3−i31-1i3−i3i3−i311-11-11i3−i3i3−i3i3−i300000000000000
χ442222-22-2-2-22-122-1-1-1-22-2000011-1-111-1-111i3i3−i3−i3i3i3−i3−i3-20022000-2011−i3i31-1i3−i3i3−i3-1-11-11-1−i3i3−i3i3−i3i300000000000000
χ452222-22-2-2-22-1-2-2-1-1-12-22000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i3200-22000-20-1-1i3−i3-11i3−i3i3−i3111-11-1−i3i3−i3i3i3−i300000000000000
χ462222-22-2-2-22-1-2-2-1-1-12-22000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i3-2002-20002011−i3i3-11i3−i3i3−i3-1-1-11-11i3−i3i3−i3−i3i300000000000000
χ472222-22-2-2-22-1-2-2-1-1-12-22000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i3200-22000-20-1-1−i3i3-11−i3i3−i3i3111-11-1i3−i3i3−i3−i3i300000000000000
χ482222-22-2-2-22-1-2-2-1-1-12-22000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i3-2002-20002011i3−i3-11−i3i3−i3i3-1-1-11-11−i3i3−i3i3i3−i300000000000000
χ492222-2-222-2-2222222-2-2222-2-2-2-2-2-222222222-2-2-2-22200-200002000000-2-22-2-2200000000000000000000000000
χ502222-2-222-2-2222222-2-22-2-222-2-2-2-2222222-2-22222-2-20020000-2000000-2-2-222-200000000000000000000000000
χ512222-2-222-2-22-2-222222-222-2-2-2-2-2-222-2-2-2-222-2-2-2-2220020000-200000022-222-200000000000000000000000000
χ522222-2-222-2-22-2-222222-2-2-222-2-2-2-222-2-2-2-2-2-22222-2-200-200002000000222-2-2200000000000000000000000000
χ532222-2-222-2-2-122-1-1-1-2-2222-2-21111-1-1-1-1-1-1-1-11111-1-100-20000200−i3i3−i3i311-111-1i3−i3−i3i3i3−i3−i3i3i3−i3i3−i300000000000000
χ542222-2-222-2-2-122-1-1-1-2-2222-2-21111-1-1-1-1-1-1-1-11111-1-100-20000200i3−i3i3−i311-111-1−i3i3i3−i3−i3i3i3−i3−i3i3−i3i300000000000000
χ552222-2-222-2-2-122-1-1-1-2-22-2-2221111-1-1-1-1-1-111-1-1-1-1110020000-200−i3i3i3−i3111-1-11i3−i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000000
χ562222-2-222-2-2-122-1-1-1-2-22-2-2221111-1-1-1-1-1-111-1-1-1-1110020000-200i3−i3−i3i3111-1-11−i3i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000000
χ572222-2-222-2-2-1-2-2-1-1-122-222-2-21111-1-11111-1-11111-1-10020000-200−i3i3i3−i3-1-11-1-11i3−i3i3−i3−i3i3−i3i3i3−i3−i3i300000000000000
χ582222-2-222-2-2-1-2-2-1-1-122-222-2-21111-1-11111-1-11111-1-10020000-200i3−i3−i3i3-1-11-1-11−i3i3−i3i3i3−i3i3−i3−i3i3i3−i300000000000000
χ592222-2-222-2-2-1-2-2-1-1-122-2-2-2221111-1-1111111-1-1-1-11100-20000200−i3i3−i3i3-1-1-111-1i3−i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000
χ602222-2-222-2-2-1-2-2-1-1-122-2-2-2221111-1-1111111-1-1-1-11100-20000200i3−i3i3−i3-1-1-111-1−i3i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000
χ6122-2-22-22-2-222002-2-20002i−2i2i−2i2-22-22-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002-2002i−2i0000
χ6222-2-22-22-2-222002-2-20002i−2i2i−2i2-22-22-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000-2200−2i2i0000
χ6322-2-22-22-2-222002-2-2000−2i2i−2i2i2-22-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002-200−2i2i0000
χ6422-2-22-22-2-222002-2-2000−2i2i−2i2i2-22-22-20000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000-22002i−2i0000
χ6522-2-2-222-22-22002-2-20002i−2i−2i2i-22-222-200002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000002i−2i002-200
χ6622-2-2-222-22-22002-2-20002i−2i−2i2i-22-222-200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000−2i2i00-2200
χ6722-2-2-222-22-22002-2-2000−2i2i2i−2i-22-222-20000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000002i−2i00-2200
χ6822-2-2-222-22-22002-2-2000−2i2i2i−2i-22-222-20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000−2i2i002-200
χ6944-4-444-44-4-44004-4-400000004-4-44-440000000000000000000000000000000000000000000000000000000000
χ7044-4-444-44-4-4-200-2220000000-222-22-2000023−2323−23−2323−23230000000000000000000000000000000000000000000000
χ7144-4-444-44-4-4-200-2220000000-222-22-20000−2323−232323−2323−230000000000000000000000000000000000000000000000
χ7244-4-44-44-4-44-200-2220004i−4i4i−4i-22-22-220000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ7344-4-44-44-4-44-200-222000−4i4i−4i4i-22-22-2200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ7444-4-4-444-44-4-200-2220004i−4i−4i4i2-22-2-220000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ7544-4-4-444-44-4-200-222000−4i4i4i−4i2-22-2-2200002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ7644-4-4-4-4-44444004-4-40000000-444-4-440000000000000000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-200-22200000002-2-222-2000023−23−232323−23−23230000000000000000000000000000000000000000000000
χ7844-4-4-4-4-4444-200-22200000002-2-222-20000−232323−23−232323−230000000000000000000000000000000000000000000000
χ794-44-400000044i−4i-44-400000000000004i−4i0000000000000000000000000000000000000000002-22i−2i0000000000
χ804-44-400000044i−4i-44-400000000000004i−4i000000000000000000000000000000000000000000-22−2i2i0000000000
χ814-44-40000004−4i4i-44-40000000000000−4i4i0000000000000000000000000000000000000000002-2−2i2i0000000000
χ824-44-40000004−4i4i-44-40000000000000−4i4i000000000000000000000000000000000000000000-222i−2i0000000000
χ838-88-8000000-48i−8i4-440000000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ848-88-8000000-4−8i8i4-4400000000000004i−4i00000000000000000000000000000000000000000000000000000000
χ858-8-88000000800-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88000000-40044-400000000000000043−43000000000000000000000000000000000000000000000000000000
χ878-8-88000000-40044-4000000000000000−4343000000000000000000000000000000000000000000000000000000

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