Finite Group Databasebeta

← Group #11792280

Character table — Group #11792280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222233444466666636666666121212121212121212121212668812122424242424242424242424242424242424444466881212121212121212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000002-2000000022-2-20000000000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000-220000000-2-2220000000000000000
χ112222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1200222-1-1000000-1-1-1-1-1-10000000000
χ122222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2110000001111110000000000
χ132222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-21111111111112002-2-2-1-1000000-1-111110000000000
χ142222222-122222-1-122-1-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-200-2221100000011-1-1-1-10000000000
χ15222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000022-1-1-1-1000000-1-1-1-1000000
χ16222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-200000-2-211110000001111000000
χ17222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-21111111102200000-2-2-1-1-1-10000001111000000
χ18222222-122222-122-1-12-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110-2-200000221111000000-1-1-1-1000000
χ19222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−302-20000000-1-11100000033−3−3000000
χ20222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−30-22000000011-1-1000000−3−333000000
χ21222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−3333302-20000000-1-111000000−3−333000000
χ22222222-12-2-2-2-2-122-1-12-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−333330-22000000011-1-100000033−3−3000000
χ232222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000200-20022000000-2-200000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000-200200-2-20000002200000000000000
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
χ272222-2-22-12-22-22-1-122-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3200-200-1-100000011−i3−i3i3i30000000000
χ282222-2-22-12-22-22-1-122-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-20020011000000-1-1i3i3−i3−i30000000000
χ292222-2-22-12-22-22-1-122-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3200-200-1-100000011i3i3−i3−i30000000000
χ302222-2-22-12-22-22-1-122-1-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-20020011000000-1-1−i3−i3i3i30000000000
χ312-2-222-22222-2-2-2-2-22-2222-22-2-2-222222-222-2-2-2-2-22-2002-200000000000000000000000000000000000000002i2i−2i−2i00
χ322-2-222-22222-2-2-2-2-22-2222-22-2-2-222222-222-2-2-2-2-22-2002-20000000000000000000000000000000000000000−2i−2i2i2i00
χ332-2-222-222-2-222-2-2-22-2222-22-2-2-22-2-2-2-22-2-2222222-200-22000000000000000000002-200000000002-22-20000000000
χ342-2-222-222-2-222-2-2-22-2222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000000000-220000000000-22-220000000000
χ352-2-222-22-1-2-222-2112-2-1-12-2-1111-1-2-211-1112-1-1-12-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002-2−i3i3000000−i3i3-11-110000000000
χ362-2-222-22-1-2-222-2112-2-1-12-2-1111-1-2-211-1112-1-1-12-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000-22i3−i3000000i3−i31-11-10000000000
χ372-2-222-22-1-2-222-2112-2-1-12-2-1111-1-2-211-1112-1-1-12-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002-2i3−i3000000i3−i3-11-110000000000
χ382-2-222-22-1-2-222-2112-2-1-12-2-1111-1-2-211-1112-1-1-12-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000-22−i3i3000000−i3i31-11-10000000000
χ392-2-22-22222-2-22-2-2-22-222-22-22-2-222-22-2222-2-2-2-22-2200-220000000000000000000000002-200000000002-22-2000000
χ402-2-22-22222-2-22-2-2-22-222-22-22-2-222-22-2222-2-2-2-22-2200-22000000000000000000000000-220000000000-22-22000000
χ412-2-22-2222-222-2-2-2-22-222-22-22-2-22-22-22-2-2-22222-2-222-22-22-22-22-2-222-2-222-2-22000000000000000000000000000000
χ422-2-22-2222-222-2-2-2-22-222-22-22-2-22-22-22-2-2-22222-2-22-222-2-22-22-222-2-222-2-222-2000000000000000000000000000000
χ432-2-22-222-1-222-2-2112-2-1-1-221-111-1-221-11112-1-1-1-21-12-2-112-22-2-111-1-111-1-111-1000000−i3i3000000i3−i3−i3i3i3−i30000000000
χ442-2-22-222-1-222-2-2112-2-1-1-221-111-1-221-11112-1-1-1-21-12-2-112-22-2-111-1-111-1-111-1000000i3−i3000000−i3i3i3−i3−i3i30000000000
χ452-2-22-222-1-222-2-2112-2-1-1-221-111-1-221-11112-1-1-1-21-1-22-11-22-221-1-111-1-111-1-11000000−i3i3000000i3−i3i3−i3−i3i30000000000
χ462-2-22-222-1-222-2-2112-2-1-1-221-111-1-221-11112-1-1-1-21-1-22-11-22-221-1-111-1-111-1-11000000i3−i3000000−i3i3−i3i3i3−i30000000000
χ472-2-22-22-122-2-221-2-2-112-11-1-2211-1-112-22-1-11-211-11-1001-13−3−3300003−3−33−333−3000000002-23−33−3000000-11-11000000
χ482-2-22-22-122-2-221-2-2-112-11-1-2211-1-112-22-1-11-211-11-1001-13−3−3300003−3−33−333−300000000-22−33−330000001-11-1000000
χ492-2-22-22-122-2-221-2-2-112-11-1-2211-1-112-22-1-11-211-11-1001-1−333−30000−333−33−3−33000000002-2−33−33000000-11-11000000
χ502-2-22-22-122-2-221-2-2-112-11-1-2211-1-112-22-1-11-211-11-1001-1−333−30000−333−33−3−3300000000-223−33−30000001-11-1000000
χ512-2-22-22-12-222-21-2-2-112-11-1-2211-11-1-22-211-12-1-111-12-2-11-11-112-2-22-111-1-111-100000000003−3−33000000−333−3000000
χ522-2-22-22-12-222-21-2-2-112-11-1-2211-11-1-22-211-12-1-111-12-2-11-11-112-2-22-111-1-111-10000000000−333−30000003−3−33000000
χ532-2-22-22-12-222-21-2-2-112-11-1-2211-11-1-22-211-12-1-111-1-22-111-11-1-222-21-1-111-1-1100000000003−3−330000003−3−33000000
χ542-2-22-22-12-222-21-2-2-112-11-1-2211-11-1-22-211-12-1-111-1-22-111-11-1-222-21-1-111-1-110000000000−333−3000000−333−3000000
χ554444444-2-4-4-4-44-2-244-2-244-2-2-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000
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
χ604444-4-44-2-44-444-2-244-2-2-4-422-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-244-2-24-222-4-4-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-244-2-24-222-4-4-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000
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
χ6744-4-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000002-22-200
χ6844-4-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000-22-2200
χ694-44-400440000-4-44-44-440000-44-400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ704-44-400440000-4-44-44-440000-44-40000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ714-4-444-44-244-4-4-4224-4-2-24-4-2222-244-2-22-2-2-4222-4-2200-220000000000000000000000000000000000000000000000
χ724-4-444-4-2444-4-42-4-4-224-2-224-422-2-2-244-4-2-22-4222-2200-220000000000000000000000000000000000000000000000
χ734-4-444-4-24-4-4442-4-4-224-2-224-422-222-4-4422-24-2-2-2-22002-20000000000000000000000000000000000000000000000
χ744-4-444-4-2-244-4-4222-22-21-22-22-1-11-2-2-2-221122-1-121-1001-1000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ754-4-444-4-2-244-4-4222-22-21-22-22-1-11-2-2-2-221122-1-121-1001-100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ764-4-444-4-2-2-4-444222-22-21-22-22-1-112222-2-1-1-2-211-21-100-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ774-4-444-4-2-2-4-444222-22-21-22-22-1-112222-2-1-1-2-211-21-100-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ784-4-44-444-24-4-44-4224-4-2-2-442-222-24-4-22-2-2-2-422242-2002-20000000000000000000000000000000000000000000000
χ794-4-44-44-2-24-4-44222-22-212-22-2-1-11-22-22-21122-1-1-2-1100-1123−23−23230000−333−33−3−33000000000000000000000000000000
χ804-4-44-44-2-24-4-44222-22-212-22-2-1-11-22-22-21122-1-1-2-1100-11−232323−2300003−3−33−333−3000000000000000000000000000000
χ814-4-44-44-2-2-444-4222-22-212-22-2-1-112-22-22-1-1-2-2112-114-41-1-22-22-222-21-1-111-1-11000000000000000000000000000000
χ824-4-44-44-2-2-444-4222-22-212-22-2-1-112-22-22-1-1-2-2112-11-441-12-22-22-2-22-111-1-111-1000000000000000000000000000000
χ8388-8-8008-400008-44-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-48-844-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-4-44444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-4-44444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-84-4-884-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-884-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-4000044-44-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-88-800-4-4000044-44-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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