Finite Group Databasebeta

← Group #11792218

Character table — Group #11792218

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444448812121212121212121212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-2000000000022-2-20000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-220000000000-2-2220000000000
χ112222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ122222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ132222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-20000-1-1-1-1111100000000000000
χ142222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-100000000000000
χ15222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ17222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000000
χ18222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−300002-20000000000-1-11133−3−3000000
χ20222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−30000-22000000000011-1-1−3−333000000
χ21222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−3333300002-20000000000-1-111−3−333000000
χ22222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−333330000-22000000000011-1-133−3−3000000
χ232222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-200000000000000002-200000022-2-2000000000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000-22000000-2-222000000000000000000
χ252222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002-2
χ262222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-22
χ272222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2000000-1-111−i3−i3i3i300000000000000
χ282222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2200000011-1-1i3i3−i3−i300000000000000
χ292222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2000000-1-111i3i3−i3−i300000000000000
χ302222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2200000011-1-1−i3−i3i3i300000000000000
χ312-2-222-22222-2-2-2-2-2-22222-22-2-2-222222-222-2-2-2-2-22-22i−2i2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ322-2-222-22222-2-2-2-2-2-22222-22-2-2-222222-222-2-2-2-2-22-2−2i2i2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ332-2-222-222-2-222-2-2-2-22222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000000000002-20000000000002-22-2000000
χ342-2-222-222-2-222-2-2-2-22222-22-2-2-22-2-2-2-22-2-2222222-200-220000000000000000000000-22000000000000-22-22000000
χ352-2-222-22-122-2-2-2-2112-1-12-2-1111-122-1-11-1-1-2111-2-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii000000003−33−3−i3i3−i3i300000000000000
χ362-2-222-22-122-2-2-2-2112-1-12-2-1111-122-1-11-1-1-2111-2-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii00000000−33−33i3−i3i3−i300000000000000
χ372-2-222-22-122-2-2-2-2112-1-12-2-1111-122-1-11-1-1-2111-2-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000003−33−3i3−i3i3−i300000000000000
χ382-2-222-22-122-2-2-2-2112-1-12-2-1111-122-1-11-1-1-2111-2-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i00000000−33−33−i3i3−i3i300000000000000
χ392-2-222-2-1222-2-211-2-2-12-1-112-211-1-1-122-2-1-11-2111-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000000000000000−i3i3−i3i33−3−33000000
χ402-2-222-2-1222-2-211-2-2-12-1-112-211-1-1-122-2-1-11-2111-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000000000000000i3−i3i3−i3−333−3000000
χ412-2-222-2-1222-2-211-2-2-12-1-112-211-1-1-122-2-1-11-2111-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000000000000000−i3i3−i3i3−333−3000000
χ422-2-222-2-1222-2-211-2-2-12-1-112-211-1-1-122-2-1-11-2111-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000000000000000i3−i3i3−i33−3−33000000
χ432-2-222-2-12-2-22211-2-2-12-1-112-211-111-2-2211-12-1-1-1-11001-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i30000002-200000000−i3i3i3−i3-11-11000000
χ442-2-222-2-12-2-22211-2-2-12-1-112-211-111-2-2211-12-1-1-1-11001-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3000000-2200000000i3−i3−i3i31-11-1000000
χ452-2-222-2-12-2-22211-2-2-12-1-112-211-111-2-2211-12-1-1-1-11001-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i30000002-200000000i3−i3−i3i3-11-11000000
χ462-2-222-2-12-2-22211-2-2-12-1-112-211-111-2-2211-12-1-1-1-11001-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3000000-2200000000−i3i3i3−i31-11-1000000
χ472-2-22-22222-2-22-2-2-2-2222-22-22-2-222-22-2222-2-2-2-22-2200-220000000000000000002-2000000002-2-2200000000000000
χ482-2-22-22222-2-22-2-2-2-2222-22-22-2-222-22-2222-2-2-2-22-2200-22000000000000000000-2200000000-222-200000000000000
χ492-2-22-2222-222-2-2-2-2-2222-22-22-2-22-22-22-2-2-22222-2-22002-2000000000000000000000000000000000000000022-2-200
χ502-2-22-2222-222-2-2-2-2-2222-22-22-2-22-22-22-2-2-22222-2-22002-20000000000000000000000000000000000000000-2-22200
χ512-2-22-222-12-2-22-2-2112-1-1-221-111-12-2-11-1-1-1-211121-1001-100003−3−333−3−333−3−33002-200003−3−33-111-100000000000000
χ522-2-22-222-12-2-22-2-2112-1-1-221-111-12-2-11-1-1-1-211121-1001-100003−3−333−3−333−3−3300-220000−333−31-1-1100000000000000
χ532-2-22-222-12-2-22-2-2112-1-1-221-111-12-2-11-1-1-1-211121-1001-10000−333−3−333−3−333−3002-20000−333−3-111-100000000000000
χ542-2-22-222-12-2-22-2-2112-1-1-221-111-12-2-11-1-1-1-211121-1001-10000−333−3−333−3−333−300-2200003−3−331-1-1100000000000000
χ554444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ604444-4-44-2-44-4444-2-24-2-2-4-422-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-2-244-24-222-4-4-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-244-24-222-4-4-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-10011000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-1001100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000002-22-200
χ6844-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000-22-2200
χ694-44-400440000-44-44-4-440000-44-400000000000000000000000000000000000000000000000000000000002-2-2200
χ704-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000000000000000000000-222-200
χ714-4-444-44-2-4-444-4-4224-2-24-4-2222-2-4-422-2224-2-2-24-22002-20000000000000000000000000000000000000000000000
χ724-4-444-4-2-244-4-42222-2-21-22-22-1-11-2-2-2-221122-1-121-14i−4i1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000
χ734-4-444-4-2-244-4-42222-2-21-22-22-1-11-2-2-2-221122-1-121-1−4i4i1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000
χ744-4-444-4-2-2-4-4442222-2-21-22-22-1-112222-2-1-1-2-211-21-100-11−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ754-4-444-4-2-2-4-4442222-2-21-22-22-1-112222-2-1-1-2-211-21-100-112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ764-4-44-444-2-444-4-4-4224-2-2-442-222-2-442-22224-2-2-2-42-200-220000000000000000000000000000000000000000000000
χ774-4-44-44-244-4-4422-4-4-24-22-2-4422-2-224-44-2-22-422-22-2002-20000000000000000000000000000000000000000000000
χ784-4-44-44-24-444-422-4-4-24-22-2-4422-22-2-44-422-24-2-222-200-220000000000000000000000000000000000000000000000
χ794-4-44-44-2-24-4-442222-2-212-22-2-1-11-22-22-21122-1-1-2-1100-11000023−23−2323−333−3−333−3000000000000000000000000000000
χ804-4-44-44-2-24-4-442222-2-212-22-2-1-11-22-22-21122-1-1-2-1100-110000−232323−233−3−333−3−33000000000000000000000000000000
χ814-4-44-44-2-2-444-42222-2-212-22-2-1-112-22-22-1-1-2-2112-11001-1000000003-3-33-333-3000000000000000000000000000000
χ824-4-44-44-2-2-444-42222-2-212-22-2-1-112-22-22-1-1-2-2112-11001-100000000-333-33-3-33000000000000000000000000000000
χ8388-8-8008-400008-8-44-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-4444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-4444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-884-4-84-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-884-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-44-44420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-44-44420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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