Finite Group Databasebeta

← Group #11792741

Character table — Group #11792741

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242224446666668812121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1
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
χ112222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-100-1-100000000000000
χ122222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111001100000000000000
χ132222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-200-1-1-1-111001100000000000000
χ142222222-1222222-1-1-12-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-222001111-1-100-1-100000000000000
χ15222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000002200-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2000000-2-20011111111000000
χ17222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-11111-2-2-2-211111111000022000000-2-200-1-1-1-11111000000
χ18222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-200000022001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-1001133−3−300003333−3−3−3−30000000000002i−2i00−i3−i3i3i3−i−iii000000
χ20222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-1001133−3−300003333−3−3−3−3000000000000−2i2i00i3i3−i3−i3ii−i−i000000
χ21222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3−3330000−3−3−3−333330000000000002i−2i00i3i3−i3−i3−i−iii000000
χ22222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1-2-2-21111-21111-1-10011−3−3330000−3−3−3−33333000000000000−2i2i00−i3−i3i3i3ii−i−i000000
χ232222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-20000000000000000002-20000002200-2-200000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-2-22-2222222-2-2-200-2-2000000000000000000-22000000-2-2002200000000000000
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
χ272222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-200−i3−i3i3i3-1-1001100000000000000
χ282222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-2200i3i3−i3−i31100-1-100000000000000
χ292222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-200i3i3−i3−i3-1-1001100000000000000
χ302222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1112-2-1-1-12-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-2200−i3−i3i3i31100-1-100000000000000
χ312-2-222-22222-2-2-2-2-2-22222-22-2-2-22-22-2-2-2-2-2222222-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000
χ322-2-222-22222-2-2-2-2-2-22222-22-2-2-22-22-2-2-2-2-2222222-2-222-2-22-22-22-22-22-22-22-22000000000000000000000000000000
χ332-2-222-222-2-222-2-2-2-22222-22-2-2-222-222222-2-2-2-2-22-200-22000000000000000000002-200000000002-22-20000000000
χ342-2-222-222-2-222-2-2-2-22222-22-2-2-222-222222-2-2-2-2-22-200-2200000000000000000000-220000000000-22-220000000000
χ352-2-222-22-122-2-2-2-211-12-12-2-1111-11-11-2-211-12-1-12-112-2-112-22-2-11-11-11-11-11-11000000−i3i3−i3i3−i3i300−i3i300000000000000
χ362-2-222-22-122-2-2-2-211-12-12-2-1111-11-11-2-211-12-1-12-112-2-112-22-2-11-11-11-11-11-11000000i3−i3i3−i3i3−i300i3−i300000000000000
χ372-2-222-22-122-2-2-2-211-12-12-2-1111-11-11-2-211-12-1-12-11-22-11-22-221-11-11-11-11-11-1000000−i3i3−i3i3i3−i300i3−i300000000000000
χ382-2-222-22-122-2-2-2-211-12-12-2-1111-11-11-2-211-12-1-12-11-22-11-22-221-11-11-11-11-11-1000000i3−i3i3−i3−i3i300−i3i300000000000000
χ392-2-222-2-1222-2-211-2-22-1-1-112-211-1-22-211112-1-1-1-1-112-2-11-11-112-22-2-11-11-11-110000000000000000−i3i3i3−i3−i3i3−i3i3000000
χ402-2-222-2-1222-2-211-2-22-1-1-112-211-1-22-211112-1-1-1-1-112-2-11-11-112-22-2-11-11-11-110000000000000000i3−i3−i3i3i3−i3i3−i3000000
χ412-2-222-2-1222-2-211-2-22-1-1-112-211-1-22-211112-1-1-1-1-11-22-111-11-1-22-221-11-11-11-10000000000000000−i3i3i3−i3i3−i3i3−i3000000
χ422-2-222-2-1222-2-211-2-22-1-1-112-211-1-22-211112-1-1-1-1-11-22-111-11-1-22-221-11-11-11-10000000000000000i3−i3−i3i3−i3i3−i3i3000000
χ432-2-222-2-12-2-22211-2-22-1-1-112-211-12-22-1-1-1-1-21111-11001-13−3−3300003−33−3−33−3300002-20000000000-11-113−3−33000000
χ442-2-222-2-12-2-22211-2-22-1-1-112-211-12-22-1-1-1-1-21111-11001-13−3−3300003−33−3−33−330000-2200000000001-11-1−333−3000000
χ452-2-222-2-12-2-22211-2-22-1-1-112-211-12-22-1-1-1-1-21111-11001-1−333−30000−33−333−33−300002-20000000000-11-11−333−3000000
χ462-2-222-2-12-2-22211-2-22-1-1-112-211-12-22-1-1-1-1-21111-11001-1−333−30000−33−333−33−30000-2200000000001-11-13−3−33000000
χ472-2-22-22222-2-22-2-2-2-2222-22-22-2-22-2-22-22-2-22222-2-2200-2200000000000000002-200002-2-2200000000000000000000
χ482-2-22-22222-2-22-2-2-2-2222-22-22-2-22-2-22-22-2-22222-2-2200-220000000000000000-220000-222-200000000000000000000
χ492-2-22-2222-222-2-2-2-2-2222-22-22-2-2222-22-222-2-2-2-22-22002-2000000000000000000000000000000000000000000002-2
χ502-2-22-2222-222-2-2-2-2-2222-22-22-2-2222-22-222-2-2-2-22-22002-200000000000000000000000000000000000000000000-22
χ512-2-22-222-12-2-22-2-211-12-1-221-111-111-1-2211-12-1-1-21-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i32-20000-111-1−i3i300i3−i300000000000000
χ522-2-22-222-12-2-22-2-211-12-1-221-111-111-1-2211-12-1-1-21-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-2200001-1-11i3−i300−i3i300000000000000
χ532-2-22-222-12-2-22-2-211-12-1-221-111-111-1-2211-12-1-1-21-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i32-20000-111-1i3−i300−i3i300000000000000
χ542-2-22-222-12-2-22-2-211-12-1-221-111-111-1-2211-12-1-1-21-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-2200001-1-11−i3i300i3−i300000000000000
χ554444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2222-4-4222-422-4-2-200220000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
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
χ604444-4-44-2-44-4444-2-2-24-2-4-422-2-2-22-2-2-44222-42242200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-2-2444-2-222-4-4-2-2-24-4-4-22-2-24-2-2-222200220000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-2444-2-222-4-4-2-2-2-4442-222-4222-22200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2211-2-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-10011000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-1-122-1-1-2-1-1001100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6844-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ704-44-400440000-44-44-4-440000-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ714-4-444-44-2-4-444-4-422-24-24-4-2222-2-22-244-2-22-422-4-22002-20000000000000000000000000000000000000000000000
χ724-4-444-4-2-244-4-42222-2-21-22-22-1-112-2222-1-1-2-211-21-14-41-1-22-22-22-221-11-11-11-1000000000000000000000000000000
χ734-4-444-4-2-244-4-42222-2-21-22-22-1-112-2222-1-1-2-211-21-1-441-12-22-22-22-2-11-11-11-11000000000000000000000000000000
χ744-4-444-4-2-2-4-4442222-2-21-22-22-1-11-22-2-2-21122-1-121-100-1123−23−23230000−33−333−33−3000000000000000000000000000000
χ754-4-444-4-2-2-4-4442222-2-21-22-22-1-11-22-2-2-21122-1-121-100-11−232323−2300003−33−3−33−33000000000000000000000000000000
χ764-4-44-444-2-444-4-4-422-24-2-442-222-2-2-224-4-2-22-42242-200-220000000000000000000000000000000000000000000000
χ774-4-44-44-244-4-4422-4-44-2-22-2-4422-2-4-442-2224-2-2-222-2002-20000000000000000000000000000000000000000000000
χ784-4-44-44-24-444-422-4-44-2-22-2-4422-244-4-22-2-2-4222-22-200-220000000000000000000000000000000000000000000000
χ794-4-44-44-2-24-4-442222-2-212-22-2-1-1122-22-2-1-1-2-2112-1100-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ804-4-44-44-2-24-4-442222-2-212-22-2-1-1122-22-2-1-1-2-2112-1100-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ814-4-44-44-2-2-444-42222-2-212-22-2-1-11-2-22-221122-1-1-2-11001-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ824-4-44-44-2-2-444-42222-2-212-22-2-1-11-2-22-221122-1-1-2-11001-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ8388-8-8008-400008-8-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-4444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-4444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-884-44-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-88-84-400004-440000000000000000000000000000000000000000000000000000000000000000
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).