Finite Group Databasebeta

← Group #11795349

Character table — Group #11795349

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444448812121212121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000002i−2i0000000000002i2i−2i−2i000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000−2i2i000000000000−2i−2i2i2i000000
χ112222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-10000-1-1-1-1-1-10000000000
χ122222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001100001111110000000000
χ132222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-20000-1-10000-1-111110000000000
χ142222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-222000011000011-1-1-1-10000000000
χ15222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200-1-1-1-1000000-1-1-1-1000000
χ16222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20011110000001111000000
χ17222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-200-1-1-1-10000001111000000
χ18222222-122222-1-122-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-222001111000000-1-1-1-1000000
χ19222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−30000002i−2i00−i3−i3i3i3000000−i−iii000000
χ20222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−3000000−2i2i00i3i3−i3−i3000000ii−i−i000000
χ21222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−333330000002i−2i00i3i3−i3−i3000000−i−iii000000
χ22222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−33333000000−2i2i00−i3−i3i3i3000000ii−i−i000000
χ232222-2-2222-2-222222222-2-2-2-22222-222-2-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000022-2-200
χ242222-2-2222-2-222222222-2-2-2-22222-222-2-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000-2-22200
χ252222-2-222-222-22222222-2-2-2-2222-22-2-22222222-2-2-200-2-200000000000000002-2000000220000-2-200000000000000
χ262222-2-222-222-22222222-2-2-2-2222-22-2-22222222-2-2-200-2-20000000000000000-22000000-2-200002200000000000000
χ272222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2000000-1-1000011−i3−i3i3i30000000000
χ282222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22000000110000-1-1i3i3−i3−i30000000000
χ292222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2000000-1-1000011i3i3−i3−i30000000000
χ302222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-2211-1-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22000000110000-1-1−i3−i3i3i30000000000
χ3122-2-22-22222-2-2-222-2-2-222-22-2-2-222-22-2-2-2-22222-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000
χ3222-2-22-22222-2-2-222-2-2-222-22-2-2-222-22-2-2-2-22222-22-2-222-2-22-22-22-22-22-22-22-22000000000000000000000000000000
χ3322-2-22-222-2-222-222-2-2-222-22-2-2-22-22-22222-2-2-2-222-200-22000000000000000000002i−2i00002i−2i2i−2i0000000000000000
χ3422-2-22-222-2-222-222-2-2-222-22-2-2-22-22-22222-2-2-2-222-200-2200000000000000000000−2i2i0000−2i2i−2i2i0000000000000000
χ3522-2-22-22-122-2-2-22-11-21-12-2-1111-12-2-111112-1-1-1-2-112-2-112-22-2-11-11-11-11-11-11000000003−300003−33−33−30000000000
χ3622-2-22-22-122-2-2-22-11-21-12-2-1111-12-2-111112-1-1-1-2-112-2-112-22-2-11-11-11-11-11-1100000000−330000−33−33−330000000000
χ3722-2-22-22-122-2-2-22-11-21-12-2-1111-12-2-111112-1-1-1-2-11-22-11-22-221-11-11-11-11-11-1000000003−300003−3−33−330000000000
χ3822-2-22-22-122-2-2-22-11-21-12-2-1111-12-2-111112-1-1-1-2-11-22-11-22-221-11-11-11-11-11-100000000−330000−333−33−30000000000
χ3922-2-22-2-1222-2-21-12-21-2-1-112-211-1-112-2-211-12-1-11-112-2-11-11-112-22-2-11-11-11-1100000000003−3−330000003−33−3000000
χ4022-2-22-2-1222-2-21-12-21-2-1-112-211-1-112-2-211-12-1-11-112-2-11-11-112-22-2-11-11-11-110000000000−333−3000000−33−33000000
χ4122-2-22-2-1222-2-21-12-21-2-1-112-211-1-112-2-211-12-1-11-11-22-111-11-1-22-221-11-11-11-100000000003−3−33000000−33−33000000
χ4222-2-22-2-1222-2-21-12-21-2-1-112-211-1-112-2-211-12-1-11-11-22-111-11-1-22-221-11-11-11-10000000000−333−30000003−33−3000000
χ4322-2-22-2-12-2-2221-12-21-2-1-112-211-11-1-222-1-11-211-1-11001-13−3−3300003−33−3−33−3300002i−2i0000−ii−ii000000i3−i3−i3i3000000
χ4422-2-22-2-12-2-2221-12-21-2-1-112-211-11-1-222-1-11-211-1-11001-13−3−3300003−33−3−33−330000−2i2i0000i−ii−i000000−i3i3i3−i3000000
χ4522-2-22-2-12-2-2221-12-21-2-1-112-211-11-1-222-1-11-211-1-11001-1−333−30000−33−333−33−300002i−2i0000−ii−ii000000−i3i3i3−i3000000
χ4622-2-22-2-12-2-2221-12-21-2-1-112-211-11-1-222-1-11-211-1-11001-1−333−30000−33−333−33−30000−2i2i0000i−ii−i000000i3−i3−i3i3000000
χ4722-2-2-22222-22-2-222-2-2-22-22-22-2-22222-2222-2-2-2-2-2-22002-2000000000000000000000000000000000000000000002-2
χ4822-2-2-22222-22-2-222-2-2-22-22-22-2-22222-2222-2-2-2-2-2-22002-200000000000000000000000000000000000000000000-22
χ4922-2-2-2222-22-22-222-2-2-22-22-22-2-22-2-2-22-2-2-222222-2200-220000000000000000002i−2i0000000000002i−2i−2i2i0000000000
χ5022-2-2-2222-22-22-222-2-2-22-22-22-2-22-2-2-22-2-2-222222-2200-22000000000000000000−2i2i000000000000−2i2i2i−2i0000000000
χ5122-2-2-222-1-22-22-22-11-21-1-221-111-1-2-21-11112-1-1-121-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3002i−2i00003−30000−33−iii−i0000000000
χ5222-2-2-222-1-22-22-22-11-21-1-221-111-1-2-21-11112-1-1-121-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300−2i2i0000−3300003−3i−i−ii0000000000
χ5322-2-2-222-1-22-22-22-11-21-1-221-111-1-2-21-11112-1-1-121-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3002i−2i0000−3300003−3−iii−i0000000000
χ5422-2-2-222-1-22-22-22-11-21-1-221-111-1-2-21-11112-1-1-121-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300−2i2i00003−30000−33i−i−ii0000000000
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
χ604444-4-44-24-4-4444-2-24-2-2-4-422-2-2-24-4-2-2222-422242200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-4-44-2-244-24-222-4-4-2-2-2-2244-4222-422-22200-2-20000000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-2-244-24-222-4-4-2-2-22-2-4-44-2-2-24-2-222200220000000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2-22-1-122-1-1-2-1-10011000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2-22-1-122-1-1-2-1-1001100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2122221112-222-211-2-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2122221112-222-211-2-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ6744-4-44-44-2-4-444-44-22-42-24-4-2222-2-442-2-2-2-2-42224-22002-20000000000000000000000000000000000000000000000
χ6844-4-44-4-2-244-4-42-2-22221-22-22-1-11-22-222-1-1-2-21121-14-41-1-22-22-22-221-11-11-11-1000000000000000000000000000000
χ6944-4-44-4-2-244-4-42-2-22221-22-22-1-11-22-222-1-1-2-21121-1-441-12-22-22-22-2-11-11-11-11000000000000000000000000000000
χ7044-4-44-4-2-2-4-4442-2-22221-22-22-1-112-22-2-21122-1-1-21-100-1123−23−23230000−33−333−33−3000000000000000000000000000000
χ7144-4-44-4-2-2-4-4442-2-22221-22-22-1-112-22-2-21122-1-1-21-100-11−232323−2300003−33−3−33−33000000000000000000000000000000
χ7244-4-4-444-24-44-4-44-22-42-2-442-222-244-22-2-2-2-4222-42-200-220000000000000000000000000000000000000000000000
χ7344-4-4-44-244-44-42-24-42-4-22-2-4422-2-2-24-44-2-22-42222-200-220000000000000000000000000000000000000000000000
χ7444-4-4-44-24-44-442-24-42-4-22-2-4422-222-44-422-24-2-2-22-2002-20000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-44-42-2-222212-22-2-1-11-2-2-22-21122-1-12-11001-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7644-4-4-44-2-24-44-42-2-222212-22-2-1-11-2-2-22-21122-1-12-11001-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ7744-4-4-44-2-2-44-442-2-222212-22-2-1-11222-22-1-1-2-211-2-1100-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ7844-4-4-44-2-2-44-442-2-222212-22-2-1-11222-22-1-1-2-211-2-1100-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ794-44-4004400004-4-4-4-44400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-4004400004-4-4-4-44400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-4-4-444-440000-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ824-4-4400440000-4-4-444-440000-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ838-88-8008-400008-844-8-4-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-480000-44-8-848-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000-44444-4200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000-44444-4200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-8-84-484-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48000044-88-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-40000444-4-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-40000444-4-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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