Finite Group Databasebeta

← Group #11794337

Character table — Group #11794337

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424224444666688121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000002i−2i000000002i2i−2i−2i000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000−2i2i00000000−2i−2i2i2i000000
χ112222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-12200000000-1-1-1-1000000
χ122222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111-2-2000000001111000000
χ132222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111220000-1-1-1-1-2-2000000001111000000
χ142222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2000011112200000000-1-1-1-1000000
χ152222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-100110000333333−3−3−3−3−3−3000000−i3−i3i3i32i−2i00000000−i−iii000000
χ162222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-100110000333333−3−3−3−3−3−3000000i3i3−i3−i3−2i2i00000000ii−i−i000000
χ172222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-100110000−3−3−3−3−3−3333333000000−i3−i3i3i3−2i2i00000000ii−i−i000000
χ182222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-100110000−3−3−3−3−3−3333333000000i3i3−i3−i32i−2i00000000−i−iii000000
χ19222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002222000000-1-1-1-1-1-1-1-10000000000
χ20222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-2000000111111110000000000
χ21222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-211110022-2-2000000-1-1-1-111110000000000
χ22222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111100-2-2220000001111-1-1-1-10000000000
χ232222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-20000000000000000002-20000000022-2-200000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-2000000000000000000-2200000000-2-22200000000000000
χ252222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000022-2-200
χ262222-2-222-22-222222222-2-2-2-2222-222-22-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000-2-22200
χ272222-2-2-122-22-222-12-1-1-111-2-2-1-1-1-1112-2-1-1-12-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3002-200000000-1-111−i3−i3i3i30000000000
χ282222-2-2-122-22-222-12-1-1-111-2-2-1-1-1-1112-2-1-1-12-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300-220000000011-1-1i3i3−i3−i30000000000
χ292222-2-2-122-22-222-12-1-1-111-2-2-1-1-1-1112-2-1-1-12-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3002-200000000-1-111i3i3−i3−i30000000000
χ302222-2-2-122-22-222-12-1-1-111-2-2-1-1-1-1112-2-1-1-12-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300-220000000011-1-1−i3−i3i3i30000000000
χ3122-2-22-22222-2-2-2-222-2-222-22-2-2-2222-22222-2-2-2-2-22-2002-200000000000000002-200002-22-200000000000000000000
χ3222-2-22-22222-2-2-2-222-2-222-22-2-2-2222-22222-2-2-2-2-22-2002-20000000000000000-220000-22-2200000000000000000000
χ3322-2-22-222-2-222-2-222-2-222-22-2-2-22-2-22-2-2-2-2222222-22-2-222-22-22-22-22-22-22-22-2000000000000000000000000000000
χ3422-2-22-222-2-222-2-222-2-222-22-2-2-22-2-22-2-2-2-2222222-2-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000
χ3522-2-22-22-122-2-2112-1-2-2-12-2-1111-122-2-1-1-1-1-21111-1100-1100003−33−33−3−33−33−332-20000-11-1100000000003−33−3000000
χ3622-2-22-22-122-2-2112-1-2-2-12-2-1111-122-2-1-1-1-1-21111-1100-1100003−33−33−3−33−33−33-2200001-11-10000000000−33−33000000
χ3722-2-22-22-122-2-2112-1-2-2-12-2-1111-122-2-1-1-1-1-21111-1100-110000−33−33−333−33−33−32-20000-11-110000000000−33−33000000
χ3822-2-22-22-122-2-2112-1-2-2-12-2-1111-122-2-1-1-1-1-21111-1100-110000−33−33−333−33−33−3-2200001-11-100000000003−33−3000000
χ3922-2-22-22-1-2-222112-1-2-2-12-2-1111-1-2-2211112-1-1-1-1-112-21-12-22-2-11-11-11-11-11-11000000−i3i3i3−i30000000000−i3i3i3−i3000000
χ4022-2-22-22-1-2-222112-1-2-2-12-2-1111-1-2-2211112-1-1-1-1-112-21-12-22-2-11-11-11-11-11-11000000i3−i3−i3i30000000000i3−i3−i3i3000000
χ4122-2-22-22-1-2-222112-1-2-2-12-2-1111-1-2-2211112-1-1-1-1-11-221-1-22-221-11-11-11-11-11-1000000−i3i3i3−i30000000000i3−i3−i3i3000000
χ4222-2-22-22-1-2-222112-1-2-2-12-2-1111-1-2-2211112-1-1-1-1-11-221-1-22-221-11-11-11-11-11-1000000i3−i3−i3i30000000000−i3i3i3−i3000000
χ4322-2-22-2-12-2-222-2-2-1211-1-112-211-111-1-2-211-12-1-12-112-21-1-11-112-2-11-112-2-11-110000000000003−33−33−33−30000000000
χ4422-2-22-2-12-2-222-2-2-1211-1-112-211-111-1-2-211-12-1-12-112-21-1-11-112-2-11-112-2-11-11000000000000−33−33−33−330000000000
χ4522-2-22-2-12-2-222-2-2-1211-1-112-211-111-1-2-211-12-1-12-11-221-11-11-1-221-11-1-221-11-10000000000003−33−3−33−330000000000
χ4622-2-22-2-12-2-222-2-2-1211-1-112-211-111-1-2-211-12-1-12-11-221-11-11-1-221-11-1-221-11-1000000000000−33−333−33−30000000000
χ4722-2-2-22222-2-22-2-222-2-22-22-22-2-222-222-222-2-2-2-22-2200-22000000000000000000000000000000000000000000002i−2i
χ4822-2-2-22222-2-22-2-222-2-22-22-22-2-222-222-222-2-2-2-22-2200-2200000000000000000000000000000000000000000000−2i2i
χ4922-2-2-2222-222-2-2-222-2-22-22-22-2-22-22-2-22-2-22222-2-22002-2000000000000000000002i−2i00000000002i−2i−2i2i0000000000
χ5022-2-2-2222-222-2-2-222-2-22-22-22-2-22-22-2-22-2-22222-2-22002-200000000000000000000−2i2i0000000000−2i2i2i−2i0000000000
χ5122-2-2-22-12-222-2-2-2-1211-11-1-2211-11-11-2211-12-1-1-21-100-11−i3i3i3−i300−i3i3i3−i300−i3i3i3−i300002i−2i0000003−3−33−iii−i0000000000
χ5222-2-2-22-12-222-2-2-2-1211-11-1-2211-11-11-2211-12-1-1-21-100-11−i3i3i3−i300−i3i3i3−i300−i3i3i3−i30000−2i2i000000−333−3i−i−ii0000000000
χ5322-2-2-22-12-222-2-2-2-1211-11-1-2211-11-11-2211-12-1-1-21-100-11i3−i3−i3i300i3−i3−i3i300i3−i3−i3i300002i−2i000000−333−3−iii−i0000000000
χ5422-2-2-22-12-222-2-2-2-1211-11-1-2211-11-11-2211-12-1-1-21-100-11i3−i3−i3i300i3−i3−i3i300i3−i3−i3i30000−2i2i0000003−3−33i−i−ii0000000000
χ55444444-24-4-4-4-444-24-2-2-2-2-244-2-2-2222-4-4222-422-4-2-200220000000000000000000000000000000000000000000000
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
χ604444-4-44-24-44-4-2-24-244-2-4-422-2-2-24-4-4-22-2-24-2-2-222200220000000000000000000000000000000000000000000000
χ614444-4-44-2-44-44-2-24-244-2-4-422-2-2-2-4442-222-4222-22200-2-20000000000000000000000000000000000000000000000
χ624444-4-4-24-44-4444-24-2-2-222-4-4-2-2-22-2-2-44222-42242200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-1−2i3−2i32i32i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-12i32i3−2i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-100110000003i3i−3i−3i00−3i−3i3i3i000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-10011000000−3i−3i3i3i003i3i−3i−3i000000000000000000000000000000
χ6744-4-44-4-2444-4-4-4-4-2422-2-224-422-2-2-2244-2-22-422-4-2200-220000000000000000000000000000000000000000000000
χ6844-4-44-4-2-244-4-422-2-2221-22-22-1-11-2-22-2-21122-1-121-1001-1000023−23−33−33−23233−33−3000000000000000000000000000000
χ6944-4-44-4-2-244-4-422-2-2221-22-22-1-11-2-22-2-21122-1-121-1001-10000−23233−33−323−23−33−33000000000000000000000000000000
χ7044-4-44-4-2-2-4-44422-2-2221-22-22-1-1122-222-1-1-2-211-21-14-4-11-22-22-221-11-1-221-11-1000000000000000000000000000000
χ7144-4-44-4-2-2-4-44422-2-2221-22-22-1-1122-222-1-1-2-211-21-1-44-112-22-22-2-11-112-2-11-11000000000000000000000000000000
χ7244-4-4-444-24-4-44224-2-4-4-2-442-222-24-44-22-2-2-4222-22-2002-20000000000000000000000000000000000000000000000
χ7344-4-4-444-2-444-4224-2-4-4-2-442-222-2-44-42-2224-2-2-222-200-220000000000000000000000000000000000000000000000
χ7444-4-4-44-244-4-44-4-4-2422-22-2-4422-2-22-24-4-2-22-42242-2002-20000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-4422-2-22212-22-2-1-11-22-2-221122-1-1-2-1100-110000003i−3i−3i3i00−3i3i3i−3i000000000000000000000000000000
χ7644-4-4-44-2-24-4-4422-2-22212-22-2-1-11-22-2-221122-1-1-2-1100-11000000−3i3i3i−3i003i−3i−3i3i000000000000000000000000000000
χ7744-4-4-44-2-2-444-422-2-22212-22-2-1-112-222-2-1-1-2-2112-11001-1−2i32i32i3−2i300i3−i3−i3i300i3−i3−i3i3000000000000000000000000000000
χ7844-4-4-44-2-2-444-422-2-22212-22-2-1-112-222-2-1-1-2-2112-11001-12i3−2i3−2i32i300−i3i3i3−i300−i3i3i3−i3000000000000000000000000000000
χ794-44-4004400004-4-4-44-4400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-4004400004-4-4-44-4400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-44-4-4-4440000-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-44-4-4-4440000-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ838-88-8008-40000-44-848-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4800008-84-8-44-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000-4444-44200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000-4444-44200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88008-400004-4-84-88-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-480000-884-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004-4444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004-4444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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