Finite Group Databasebeta

← Group #11792202

Character table — Group #11792202

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121224446688881212121212122424242424242424444444
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000002-2
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000-22
χ112222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12002-1-122000000-1-1-1-1-1-10000000000
χ122222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-211-2-20000001111110000000000
χ132222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111112002-1-1-2-2000000-1-111110000000000
χ142222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111-200-2112200000011-1-1-1-10000000000
χ15222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10220000022-1-1-1-1000000-1-1-1-1000000
χ16222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-200000-2-211110000001111000000
χ17222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-11111111102200000-2-2-1-1-1-10000001111000000
χ18222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111110-2-200000221111000000-1-1-1-1000000
χ192222-2-2222-22-22222222-2-2-2-222-2-2-2-2222-22-2-2-22000000000022-2-200000000200-22200000000-2-200000000000000
χ202222-2-2222-22-22222222-2-2-2-222-2-2-2-2222-22-2-2-22000000000022-2-200000000-2002-2-2000000002200000000000000
χ212222-2-222-22-222222222-2-2-2-222-2-2-2-22-2-22-2222-20000000000-2-2220000000002-2000000022-2-20000000000000000
χ222222-2-222-22-222222222-2-2-2-222-2-2-2-22-2-22-2222-20000000000-2-222000000000-220000000-2-2220000000000000000
χ232222-2-22-12-22-2-1-1222-1-1-2-211-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3200-2-1-10000000011−i3−i3i3i30000000000
χ242222-2-22-12-22-2-1-1222-1-1-2-211-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3-20021100000000-1-1i3i3−i3−i30000000000
χ252222-2-22-12-22-2-1-1222-1-1-2-211-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3200-2-1-10000000011i3i3−i3−i30000000000
χ262222-2-22-12-22-2-1-1222-1-1-2-211-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3-20021100000000-1-1−i3−i3i3i30000000000
χ272222-2-2-12-22-2222-1-1-12-111-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i302-20000000-1-111000000−i3−i3i3i3000000
χ282222-2-2-12-22-2222-1-1-12-111-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i30-22000000011-1-1000000i3i3−i3−i3000000
χ292222-2-2-12-22-2222-1-1-12-111-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i302-20000000-1-111000000i3i3−i3−i3000000
χ302222-2-2-12-22-2222-1-1-12-111-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i30-22000000011-1-1000000−i3−i3i3i3000000
χ312-2-222-22222-2-2-2-22-2-2222-22-2-2-222-2-222-2222-2-2-200000000002-22-200000000000000002i−2i00000000002i−2i2i−2i000000
χ322-2-222-22222-2-2-2-22-2-2222-22-2-2-222-2-222-2222-2-2-200000000002-22-20000000000000000−2i2i0000000000−2i2i−2i2i000000
χ332-2-222-222-2-222-2-22-2-2222-22-2-2-222-2-22-22-2-2-22220000000000-22-22000000000000002-2000000002-22-20000000000
χ342-2-222-222-2-222-2-22-2-2222-22-2-2-222-2-22-22-2-2-22220000000000-22-2200000000000000-2200000000-22-220000000000
χ352-2-222-22-1-2-222112-2-2-1-12-2-1111-1-111-1-22-211-12-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i30000−i3i32-2000000−i3i3-11-110000000000
χ362-2-222-22-1-2-222112-2-2-1-12-2-1111-1-111-1-22-211-12-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i30000i3−i3-22000000i3−i31-11-10000000000
χ372-2-222-22-1-2-222112-2-2-1-12-2-1111-1-111-1-22-211-12-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i30000−i3i3-22000000−i3i31-11-10000000000
χ382-2-222-22-1-2-222112-2-2-1-12-2-1111-1-111-1-22-211-12-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i30000i3−i32-2000000i3−i3-11-110000000000
χ392-2-222-2-1222-2-2-2-2-1112-1-112-211-1-111-1-11-122-21-200−i3i3−i3i30000-11-11−i3i3i3−i3i3−i3−i3i3000000002i−2i3−33−3000000−ii−ii000000
χ402-2-222-2-1222-2-2-2-2-1112-1-112-211-1-111-1-11-122-21-200−i3i3−i3i30000-11-11−i3i3i3−i3i3−i3−i3i300000000−2i2i−33−33000000i−ii−i000000
χ412-2-222-2-1222-2-2-2-2-1112-1-112-211-1-111-1-11-122-21-200i3−i3i3−i30000-11-11i3−i3−i3i3−i3i3i3−i3000000002i−2i−33−33000000−ii−ii000000
χ422-2-222-2-1222-2-2-2-2-1112-1-112-211-1-111-1-11-122-21-200i3−i3i3−i30000-11-11i3−i3−i3i3−i3i3i3−i300000000−2i2i3−33−3000000i−ii−i000000
χ432-2-22-22222-2-22-2-22-2-222-22-22-2-2-2-22222-2-22-222-200000000002-2-220000000000000000000000000000000022-2-200
χ442-2-22-22222-2-22-2-22-2-222-22-22-2-2-2-22222-2-22-222-200000000002-2-2200000000000000000000000000000000-2-22200
χ452-2-22-2222-222-2-2-22-2-222-22-22-2-2-2-2222-222-22-2-222-22-2-222-2-22-222-22-22-2-22-22000000000000000000000000000000
χ462-2-22-2222-222-2-2-22-2-222-22-22-2-2-2-2222-222-22-2-22-22-222-2-222-2-222-2-22-222-22-2000000000000000000000000000000
χ472-2-22-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-12-22-2-22-111-11-1-11-11-111-11-10000−i3i300000000i3−i3−i3i3i3−i30000000000
χ482-2-22-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-12-22-2-22-111-11-1-11-11-111-11-10000i3−i300000000−i3i3i3−i3−i3i30000000000
χ492-2-22-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-1-22-222-21-1-111-1-111-11-1-11-110000−i3i300000000i3−i3i3−i3−i3i30000000000
χ502-2-22-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-1-22-222-21-1-111-1-111-11-1-11-110000i3−i300000000−i3i3−i3i3i3−i30000000000
χ512-2-22-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-2122-2-111-12-2-221-1-11-11-111-11-100000000003−3−330000003−3−33000000
χ522-2-22-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-2122-2-111-12-2-221-1-11-11-111-11-10000000000−333−3000000−333−3000000
χ532-2-22-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-212-221-1-11-222-21-1-111-11-1-11-1100000000003−3−33000000−333−3000000
χ542-2-22-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-212-221-1-11-222-21-1-111-11-1-11-110000000000−333−30000003−3−33000000
χ554444444-2-4-4-4-4-2-2444-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000222200000000000000000000000000000000000000
χ56444444-24-4-4-4-444-2-2-24-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000222200000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-133-3-3-3-333000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-3-33333-3-3000000000000000000000000000000
χ614444-4-44-2-44-44-2-2444-2-2-4-422-2-22222-2-4-442-2-242000000000022-2-200000000000000000000000000000000000000
χ624444-4-4-244-44-444-2-2-24-222-4-4-2-22222-2-2-224-4-4240000000000-2-22200000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-2-22-2222-2000000−2i3−2i32i32i311-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-2-22-2222-20000002i32i3−2i3−2i311-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-1122-22-2-2-2200−2i3−2i32i32i30000-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-1122-22-2-2-22002i32i3−2i3−2i30000-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ6744-4-4004400004-4-44-4-4400004-40000-40000000000000000000000000000000000000000000000000000002-22-200
χ6844-4-4004400004-4-44-4-4400004-40000-4000000000000000000000000000000000000000000000000000000-22-2200
χ694-44-400440000-44-4-44-440000-440000-40000000000000000000000000000000000000000000000000000002-2-2200
χ704-44-400440000-44-4-44-440000-440000-4000000000000000000000000000000000000000000000000000000-222-200
χ714-4-444-44-244-4-4224-4-4-2-24-4-2222-2-222-24-44-2-22-420000000000-22-2200000000000000000000000000000000000000
χ724-4-444-4-24-4-444-4-4-2224-2-224-422-2-222-22-22-4-44-2400000000002-22-200000000000000000000000000000000000000
χ734-4-444-4-2-244-4-422-222-21-22-22-1-111-1-11-22-2-2-222200−2i32i3−2i32i300001-11-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000
χ744-4-444-4-2-244-4-422-222-21-22-22-1-111-1-11-22-2-2-2222002i3−2i32i3−2i300001-11-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000
χ754-4-444-4-2-2-4-44422-222-21-22-22-1-111-1-112-2222-2-2-2000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ764-4-444-4-2-2-4-44422-222-21-22-22-1-111-1-112-2222-2-2-20000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ774-4-44-444-24-4-44224-4-4-2-2-442-22222-2-2-24-4-4-22-2420000000000-222-200000000000000000000000000000000000000
χ784-4-44-44-244-4-44-4-4-2224-22-2-442222-2-2-2-2224-44-2-40000000000-222-200000000000000000000000000000000000000
χ794-4-44-44-2-24-4-4422-222-212-22-2-1-1-1-1111-222-22-2-2200000000001-1-113-3-333-3-33000000000000000000000000000000
χ804-4-44-44-2-24-4-4422-222-212-22-2-1-1-1-1111-222-22-2-2200000000001-1-11-333-3-333-3000000000000000000000000000000
χ814-4-44-44-2-2-444-422-222-212-22-2-1-1-1-11112-2-22-222-24-4-222-2-222-2-111-11-11-1-11-11000000000000000000000000000000
χ824-4-44-44-2-2-444-422-222-212-22-2-1-1-1-11112-2-22-222-2-442-2-222-2-22-111-1-11-111-11-1000000000000000000000000000000
χ8388-8-8008-40000-44-88-84-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-4800008-84-44-8-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-444-444200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-444-444200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000
χ878-88-8008-400004-4-8-884-400004-400004000000000000000000000000000000000000000000000000000000000000
χ888-88-800-480000-8844-4-8-400004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-444-4420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-444-4420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000

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