Finite Group Databasebeta

← Group #10695714

Character table — Group #10695714

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order1222222222344666444666666121212128888121224242424242424244444121212121212121244444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222222-2-2222-2-2-2222222-2-2-2-20000-2-200000000000000000000000022-2-2000000
χ1022222222222-2-2222-2-2-2222222-2-2-2-20000-2-2000000000000000000000000-2-222000000
χ112222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ122222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ132222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-1111100000000000000
χ142222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-100000000000000
χ15222222-2-2-2-2222222-2-2222-2-2-2-222220000-2-2000000000000000000000000000000002-2
χ16222222-2-2-2-2222222-2-2222-2-2-2-222220000-2-200000000000000000000000000000000-22
χ17222222-2-2-2-22-2-222222-222-2-2-2-2-2-2-2-200002200000000002i−2i00002i2i−2i−2i00000000000000
χ18222222-2-2-2-22-2-222222-222-2-2-2-2-2-2-2-20000220000000000−2i2i0000−2i−2i2i2i00000000000000
χ19222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111110000-1-13333−3−3−3−3002i−2i−i3i3−i3i3−i−iii00000000000000
χ20222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111110000-1-13333−3−3−3−300−2i2ii3−i3i3−i3ii−i−i00000000000000
χ21222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111110000-1-1−3−3−3−33333002i−2ii3−i3i3−i3−i−iii00000000000000
χ22222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111110000-1-1−3−3−3−3333300−2i2i−i3i3−i3i3ii−i−i00000000000000
χ232222-2-222-2-22222222-2-2-2-22-2-2222-2-200002-2000000000000000000000000000022-2-200
χ242222-2-222-2-22222222-2-2-2-22-2-2222-2-200002-20000000000000000000000000000-2-22200
χ252222-2-222-2-22-2-2222-222-2-22-2-22-2-22222-2-2-2222-2-222-2-200000000000000000000000000
χ262222-2-222-2-22-2-2222-222-2-22-2-22-2-222-2-222-22-2-222-2-22200000000000000000000000000
χ272222-2-222-2-2-1-2-2-1-1-1-22211-111-111-1-122-2-21-1-1-111-1-1110000−i3i3i3−i3−i3i3−i3i300000000000000
χ282222-2-222-2-2-1-2-2-1-1-1-22211-111-111-1-122-2-21-1-1-111-1-1110000i3−i3−i3i3i3−i3i3−i300000000000000
χ292222-2-222-2-2-1-2-2-1-1-1-22211-111-111-1-1-2-2221-111-1-111-1-10000−i3i3i3−i3i3−i3i3−i300000000000000
χ302222-2-222-2-2-1-2-2-1-1-1-22211-111-111-1-1-2-2221-111-1-111-1-10000i3−i3−i3i3−i3i3−i3i300000000000000
χ312222-2-2-2-222222222-22-2-2-2-222-222-2-20000-22000000002-20022-2-2000000000000000000
χ322222-2-2-2-222222222-22-2-2-2-222-222-2-20000-2200000000-2200-2-222000000000000000000
χ332222-2-2-2-2222-2-22222-22-2-2-222-2-2-22200002-20000000000000000000022-2-20000000000
χ342222-2-2-2-2222-2-22222-22-2-2-222-2-2-22200002-200000000000000000000-2-2220000000000
χ352222-2-2-2-222-122-1-1-1-22-2111-1-11-1-11100001-133−3−3−3−3332-200-1-1113−3−3300000000000000
χ362222-2-2-2-222-122-1-1-1-22-2111-1-11-1-11100001-133−3−3−3−333-220011-1-1−333−300000000000000
χ372222-2-2-2-222-122-1-1-1-22-2111-1-11-1-11100001-1−3−33333−3−32-200-1-111−333−300000000000000
χ382222-2-2-2-222-122-1-1-1-22-2111-1-11-1-11100001-1−3−33333−3−3-220011-1-13−3−3300000000000000
χ392-2-222-2-222-22002-2-20002-2-22-220000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000000000000000002i−2i2−22−200
χ402-2-222-2-222-22002-2-20002-2-22-220000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000000000000000−2i2i−22−2200
χ412-2-222-2-222-22002-2-20002-2-22-220000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000000000000000002i−2i−22−2200
χ422-2-222-2-222-22002-2-20002-2-22-220000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000000000000000−2i2i2−22−200
χ432-2-22-22-22-222002-2-2000-22-2-2220000−i2i2i2−i200−i2i2i2−i2−i2i2i2−i200000000000000002i−2i002−2−2200
χ442-2-22-22-22-222002-2-2000-22-2-2220000−i2i2i2−i200−i2i2i2−i2−i2i2i2−i20000000000000000−2i2i00−222−200
χ452-2-22-22-22-222002-2-2000-22-2-2220000i2−i2−i2i200i2−i2−i2i2i2−i2−i2i200000000000000002i−2i00−222−200
χ462-2-22-22-22-222002-2-2000-22-2-2220000i2−i2−i2i200i2−i2−i2i2i2−i2−i2i20000000000000000−2i2i002−2−2200
χ474444444444-2-4-4-2-2-2-4-4-4-2-2-2-2-2-222220000220000000000000000000000000000000000
χ48444444-4-4-4-4-244-2-2-2-4-44-2-22222-2-2-2-20000220000000000000000000000000000000000
χ494444-4-444-4-4-244-2-2-24-4-422-222-2-2-2220000-220000000000000000000000000000000000
χ504444-4-4-4-444-2-4-4-2-2-24-44222-2-2222-2-20000-220000000000000000000000000000000000
χ514-44-400000044-4-4-440000000004-400000000000000000000000000002i−2i2i−2i0000000000
χ524-44-400000044-4-4-440000000004-40000000000000000000000000000−2i2i−2i2i0000000000
χ534-44-40000004-44-4-44000000000-4400000000000000000000000000002i−2i−2i2i0000000000
χ544-44-40000004-44-4-44000000000-440000000000000000000000000000−2i2i2i−2i0000000000
χ554-4-444-44-4-444004-4-40004-44-44-400000000000000000000000000000000000000000000
χ564-4-444-44-4-44-200-222000-22-22-220000000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ574-4-444-44-4-44-200-222000-22-22-220000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ584-4-444-4-444-4-200-222000-222-22-20000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ594-4-444-4-444-4-200-222000-222-22-200002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ604-4-44-444-44-44004-4-4000-4444-4-400000000000000000000000000000000000000000000
χ614-4-44-444-44-4-200-2220002-2-2-2220000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ624-4-44-444-44-4-200-2220002-2-2-2220000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ634-4-44-44-44-44-200-2220002-222-2-20000−2i22i22i2−2i200i2−i2−i2i2i2−i2−i2i200000000000000000000000000
χ644-4-44-44-44-44-200-2220002-222-2-200002i2−2i2−2i22i200−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ6588-8-8000000800-88-800000000000000000000000000000000000000000000000000000
χ6688-8-8000000-4004-440000000000043−430000000000000000000000000000000000000000
χ6788-8-8000000-4004-4400000000000−43430000000000000000000000000000000000000000
χ688-88-8000000-48-844-4000000000-44000000000000000000000000000000000000000000
χ698-88-8000000-4-8844-40000000004-4000000000000000000000000000000000000000000

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