Finite Group Databasebeta

← Group #11793904

Character table — Group #11793904

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242224446666668812121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000002i−2i0000002i2i−2i−2i000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000−2i2i000000−2i−2i2i2i000000
χ112222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-122000000-1-1-1-1000000
χ122222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111-2-20000001111000000
χ132222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122000000-1-1-1-1-2-20000001111000000
χ142222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2000000111122000000-1-1-1-1000000
χ152222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-100110000333333−3−3−3−3−3−300000000−i3−i3i3i32i−2i000000−i−iii000000
χ162222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-100110000333333−3−3−3−3−3−300000000i3i3−i3−i3−2i2i000000ii−i−i000000
χ172222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-100110000−3−3−3−3−3−333333300000000−i3−i3i3i3−2i2i000000ii−i−i000000
χ182222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-100110000−3−3−3−3−3−333333300000000i3i3−i3−i32i−2i000000−i−iii000000
χ19222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002222-1-1000000-1-1-1-1-1-10000000000
χ20222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-2110000001111110000000000
χ21222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110022-2-2-1-1000000-1-111110000000000
χ22222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-2111100-2-2221100000011-1-1-1-10000000000
χ232222-2-2222-2-222222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000002-20022000000-2-200000000000000
χ242222-2-2222-2-222222222-2-2-2-22222-22-2-2222222-2-2-200-2-2000000000000000000-2200-2-20000002200000000000000
χ252222-2-222-222-22222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000022-2-200
χ262222-2-222-222-22222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000-2-22200
χ272222-2-2-122-2-22-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3002-200-1-100000011−i3−i3i3i30000000000
χ282222-2-2-122-2-22-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300-220011000000-1-1i3i3−i3−i30000000000
χ292222-2-2-122-2-22-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3002-200-1-100000011i3i3−i3−i30000000000
χ302222-2-2-122-2-22-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300-220011000000-1-1−i3−i3i3i30000000000
χ312-22-22-22222-2-2-2-2-222-222-22-2-2-222-222-222-2-2-2-222-2002-2000000000000000000002i−2i00000000002i−2i2i−2i0000000000
χ322-22-22-22222-2-2-2-2-222-222-22-2-2-222-222-222-2-2-2-222-2002-200000000000000000000−2i2i0000000000−2i2i−2i2i0000000000
χ332-22-22-222-2-222-2-2-222-222-22-2-2-22-22-2-22-2-22222-22-200-22000000000000000000000000000000000000000000002-2
χ342-22-22-222-2-222-2-2-222-222-22-2-2-22-22-2-22-2-22222-22-200-2200000000000000000000000000000000000000000000-22
χ352-22-22-2-1222-2-21-2-22-11-1-112-211-12-2-1-11-1-1-21112-1100-113−33−3003−33−3003−33−300002i−2i−i3i3000000−i3i3−ii−ii0000000000
χ362-22-22-2-1222-2-21-2-22-11-1-112-211-12-2-1-11-1-1-21112-1100-113−33−3003−33−3003−33−30000−2i2ii3−i3000000i3−i3i−ii−i0000000000
χ372-22-22-2-1222-2-21-2-22-11-1-112-211-12-2-1-11-1-1-21112-1100-11−33−3300−33−3300−33−3300002i−2ii3−i3000000i3−i3−ii−ii0000000000
χ382-22-22-2-1222-2-21-2-22-11-1-112-211-12-2-1-11-1-1-21112-1100-11−33−3300−33−3300−33−330000−2i2i−i3i3000000−i3i3i−ii−i0000000000
χ392-22-2-22222-22-2-2-2-222-22-22-22-2-22222-2222-2-2-2-2-2-222i−2i-222i−2i−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ402-22-2-22222-22-2-2-2-222-22-22-22-2-22222-2222-2-2-2-2-2-22−2i2i-22−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ412-22-2-2222-22-22-2-2-222-22-22-22-2-22-2-2-22-2-2-222222-22002-200000000000000002-20000002-22-2000000000000000000
χ422-22-2-2222-22-22-2-2-222-22-22-22-2-22-2-2-22-2-2-222222-22002-20000000000000000-22000000-22-22000000000000000000
χ432-22-2-222-12-22-2-211-12-2-1-221-111-1-1-12-22-1-11-21111-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i00000000−i3i3i3−i3000000003−33−3000000
χ442-22-2-222-12-22-2-211-12-2-1-221-111-1-1-12-22-1-11-21111-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i00000000i3−i3−i3i300000000−33−33000000
χ452-22-2-222-12-22-2-211-12-2-1-221-111-1-1-12-22-1-11-21111-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii00000000−i3i3i3−i300000000−33−33000000
χ462-22-2-222-12-22-2-211-12-2-1-221-111-1-1-12-22-1-11-21111-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii00000000i3−i3−i3i3000000003−33−3000000
χ472-22-2-222-1-22-22-211-12-2-1-221-111-111-22-211-12-1-1-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i32-2000000-11-1100000000−i3i3i3−i3000000
χ482-22-2-222-1-22-22-211-12-2-1-221-111-111-22-211-12-1-1-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3-220000001-11-100000000i3−i3−i3i3000000
χ492-22-2-222-1-22-22-211-12-2-1-221-111-111-22-211-12-1-1-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i32-2000000-11-1100000000i3−i3−i3i3000000
χ502-22-2-222-1-22-22-211-12-2-1-221-111-111-22-211-12-1-1-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3-220000001-11-100000000−i3i3i3−i3000000
χ512-22-2-22-122-22-21-2-22-11-11-1-2211-122-11-1-1-1-2111-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i000000−i3i3000000i3−i33−3−330000000000
χ522-22-2-22-122-22-21-2-22-11-11-1-2211-122-11-1-1-1-2111-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i000000i3−i3000000−i3i3−333−30000000000
χ532-22-2-22-122-22-21-2-22-11-11-1-2211-122-11-1-1-1-2111-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii000000−i3i3000000i3−i3−333−30000000000
χ542-22-2-22-122-22-21-2-22-11-11-1-2211-122-11-1-1-1-2111-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii000000i3−i3000000−i3i33−3−330000000000
χ55444444-24-4-4-4-4-2444-2-2-2-2-244-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-100002323−3−3−3−3−23−233333000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-10000−23−2333332323−3−3−3−3000000000000000000000000000000
χ604444-4-44-24-4-444-2-2-244-2-4-422-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000
χ614444-4-44-2-444-44-2-2-244-2-4-422-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-2444-2-2-222-4-4-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-1−2i3−2i32i32i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-12i32i3−2i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-100110000003i3i−3i−3i00−3i−3i3i3i000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-10011000000−3i−3i3i3i003i3i−3i−3i000000000000000000000000000000
χ6744-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6844-4-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-44-44-44-244-4-4-422-24-4-24-4-2222-2-2244-4-2-22-422-2-2200-220000000000000000000000000000000000000000000000
χ704-44-44-44-2-4-444-422-24-4-24-4-2222-22-2-4-4422-24-2-22-22002-20000000000000000000000000000000000000000000000
χ714-44-44-4-24-4-4442-4-44-22-2-224-422-2-4422-2224-2-2-2-4-22002-20000000000000000000000000000000000000000000000
χ724-44-44-4-2-244-4-4222-2-221-22-22-1-11-22-2-221122-1-1-21-1001-123−2323−2300−33−3300−33−33000000000000000000000000000000
χ734-44-44-4-2-244-4-4222-2-221-22-22-1-11-22-2-221122-1-1-21-1001-1−2323−2323003−33−3003−33−3000000000000000000000000000000
χ744-44-44-4-2-2-4-444222-2-221-22-22-1-112-222-2-1-1-2-21121-100-110000003-33-300-33-33000000000000000000000000000000
χ754-44-44-4-2-2-4-444222-2-221-22-22-1-112-222-2-1-1-2-21121-100-11000000-33-33003-33-3000000000000000000000000000000
χ764-44-4-44-24-44-442-4-44-22-22-2-4422-2-4-42-22224-2-2-242-200-220000000000000000000000000000000000000000000000
χ774-44-4-44-2-24-44-4222-2-2212-22-2-1-11-2-2-22-21122-1-12-114i−4i-11−2i2i2i−2i−2i2ii−i−ii−2i2ii−i−ii000000000000000000000000000000
χ784-44-4-44-2-24-44-4222-2-2212-22-2-1-11-2-2-22-21122-1-12-11−4i4i-112i−2i−2i2i2i−2i−iii−i2i−2i−iii−i000000000000000000000000000000
χ794-44-4-44-2-2-44-44222-2-2212-22-2-1-11222-22-1-1-2-211-2-11001-10000−2i32i3i3−i3−i3i32i3−2i3−i3i3i3−i3000000000000000000000000000000
χ804-44-4-44-2-2-44-44222-2-2212-22-2-1-11222-22-1-1-2-211-2-11001-100002i3−2i3−i3i3i3−i3−2i32i3i3−i3−i3i3000000000000000000000000000000
χ814-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ8388-8-8008-400008-444-8-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-48-8-844-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-4-44444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-4-44444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-84-44-88-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-4800004-88-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-4000044-444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-4000044-444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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