Finite Group Databasebeta

← Group #11792275

Character table — Group #11792275

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212224466668888121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
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
χ112222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-1000000
χ122222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-2001100001111000000
χ132222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111020200-1-100-2-200-1-100001111000000
χ142222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110-20-20011002200110000-1-1-1-1000000
χ15222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-10000000000
χ16222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-201100-2-200110011110000000000
χ17222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111112020-1-100-2-200-1-10011110000000000
χ18222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-20-20110022001100-1-1-1-10000000000
χ192222-2-2222-22-22222222-2-2-2-222-2-2-2-2222-22-2-2-22000000000022-2-200000000020-20022000000-2-200000000000000
χ202222-2-2222-22-22222222-2-2-2-222-2-2-2-2222-22-2-2-22000000000022-2-2000000000-20200-2-20000002200000000000000
χ212222-2-222-22-222222222-2-2-2-222-2-2-2-22-2-22-2222-20000000000-2-2220000000020-2022000000-2-20000000000000000
χ222222-2-222-22-222222222-2-2-2-222-2-2-2-22-2-22-2222-20000000000-2-22200000000-2020-2-2000000220000000000000000
χ232222-2-22-12-22-222-1-12-1-1-2-211-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3020-200-1-1000000110000−i3−i3i3i3000000
χ242222-2-22-12-22-222-1-12-1-1-2-211-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i30-2020011000000-1-10000i3i3−i3−i3000000
χ252222-2-22-12-22-222-1-12-1-1-2-211-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3020-200-1-1000000110000i3i3−i3−i3000000
χ262222-2-22-12-22-222-1-12-1-1-2-211-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i30-2020011000000-1-10000−i3−i3i3i3000000
χ272222-2-2-12-22-22-1-122-12-111-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i320-20-1-10000001100−i3−i3i3i30000000000
χ282222-2-2-12-22-22-1-122-12-111-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i3-202011000000-1-100i3i3−i3−i30000000000
χ292222-2-2-12-22-22-1-122-12-111-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i320-20-1-10000001100i3i3−i3−i30000000000
χ302222-2-2-12-22-22-1-122-12-111-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i3-202011000000-1-100−i3−i3i3i30000000000
χ312-22-22-22222-2-2-2-2-2-22222-22-2-2-222-2-222-2222-2-2-200000000002-22-2000000000000000000000000000000002i2i−2i−2i00
χ322-22-22-22222-2-2-2-2-2-22222-22-2-2-222-2-222-2222-2-2-200000000002-22-200000000000000000000000000000000−2i−2i2i2i00
χ332-22-22-222-2-222-2-2-2-22222-22-2-2-222-2-22-22-2-2-22222-22-22-22-22-2-22-222-22-22-22-2000000000000000000000000000000
χ342-22-22-222-2-222-2-2-2-22222-22-2-2-222-2-22-22-2-2-2222-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000
χ352-22-22-22-1-2-222-2-2112-1-12-2-1111-1-111-1-22-211-12-12-22-22-2-11-111-11-1-11-11-11-11000000−i3i3000000−i3i30000−i3i3−i3i3000000
χ362-22-22-22-1-2-222-2-2112-1-12-2-1111-1-111-1-22-211-12-12-22-22-2-11-111-11-1-11-11-11-11000000i3−i3000000i3−i30000i3−i3i3−i3000000
χ372-22-22-22-1-2-222-2-2112-1-12-2-1111-1-111-1-22-211-12-1-22-22-221-11-11-11-11-11-11-11-1000000−i3i3000000−i3i30000i3−i3i3−i3000000
χ382-22-22-22-1-2-222-2-2112-1-12-2-1111-1-111-1-22-211-12-1-22-22-221-11-11-11-11-11-11-11-1000000i3−i3000000i3−i30000−i3i3−i3i3000000
χ392-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-11-2-22-122-2-11-112-22-21-11-1-11-11-11-110000−i3i3000000−i3i300−i3i3−i3i30000000000
χ402-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-11-2-22-122-2-11-112-22-21-11-1-11-11-11-110000i3−i3000000i3−i300i3−i3i3−i30000000000
χ412-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-11-2-22-12-221-11-1-22-221-11-11-11-11-11-10000−i3i3000000−i3i300i3−i3i3−i30000000000
χ422-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-11-2-22-12-221-11-1-22-221-11-11-11-11-11-10000i3−i3000000i3−i300−i3i3−i3i30000000000
χ432-22-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-2-22-222-200000000002-2-2200000000000000002-20000002-2-220000000000
χ442-22-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-2-22-222-200000000002-2-220000000000000000-22000000-222-20000000000
χ452-22-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-222-22-2-220000000000-222-20000000000000000002-2000000002-2-22000000
χ462-22-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-222-22-2-220000000000-222-2000000000000000000-2200000000-222-2000000
χ472-22-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2221-11-2-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3000000−i3i3002-200i3−i30000-111-1000000
χ482-22-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2221-11-2-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3000000i3−i300-2200−i3i300001-1-11000000
χ492-22-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2221-11-2-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3000000−i3i300-2200i3−i300001-1-11000000
χ502-22-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2221-11-2-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3000000i3−i3002-200−i3i30000-111-1000000
χ512-22-2-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1112-22-1-200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i30000−i3i3002-200i3−i300-111-10000000000
χ522-22-2-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1112-22-1-200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i30000i3−i300-2200−i3i3001-1-110000000000
χ532-22-2-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1112-22-1-200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i30000−i3i300-2200i3−i3001-1-110000000000
χ542-22-2-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1112-22-1-200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i30000i3−i3002-200−i3i300-111-10000000000
χ554444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000222200000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000222200000000000000000000000000000000000000
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
χ614444-4-44-2-44-4444-2-24-2-2-4-422-2-22222-2-4-442-2-242000000000022-2-200000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-244-24-222-4-4-2-22222-2-2-224-4-4240000000000-2-22200000000000000000000000000000000000000
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
χ6744-4-4004400004-44-4-4-4400004-40000-40000000000000000000000000000000000000000000000000000002-22-200
χ6844-4-4004400004-44-4-4-4400004-40000-4000000000000000000000000000000000000000000000000000000-22-2200
χ694-44-44-44-244-4-4-4-4224-2-24-4-2222-2-222-24-44-2-22-420000000000-22-2200000000000000000000000000000000000000
χ704-44-44-4-2444-4-422-4-4-24-2-224-422-2-222-2-22-244-42-40000000000-22-2200000000000000000000000000000000000000
χ714-44-44-4-2-244-4-42222-2-21-22-22-1-111-1-11-22-2-2-222200000000001-11-13-3-33-333-3000000000000000000000000000000
χ724-44-44-4-2-244-4-42222-2-21-22-22-1-111-1-11-22-2-2-222200000000001-11-1-333-33-3-33000000000000000000000000000000
χ734-44-44-4-2-2-4-4442222-2-21-22-22-1-111-1-112-2222-2-2-24-4-22-22-22-22-11-111-11-11-11-1000000000000000000000000000000
χ744-44-44-4-2-2-4-4442222-2-21-22-22-1-111-1-112-2222-2-2-2-442-22-22-22-2-11-11-11-11-11-11000000000000000000000000000000
χ754-44-4-444-24-4-44-4-4224-2-2-442-22222-2-2-24-4-4-22-2420000000000-222-200000000000000000000000000000000000000
χ764-44-4-44-24-444-422-4-4-24-22-2-442222-2-2-22-2-2-44-42400000000002-2-2200000000000000000000000000000000000000
χ774-44-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-222-22-2-2200−2i32i32i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ784-44-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-222-22-2-22002i3−2i3−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ794-44-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-2-22-222-2000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ804-44-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-2-22-222-20000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ814-4-4400440000-44-44-4-440000-440000-40000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ824-4-4400440000-44-44-4-440000-440000-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ8388-8-8008-400008-8-44-84-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-84-8-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-4444200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-4444200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-884-4-84-400004-400004000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-4800004-4-884-8-400004-400004000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004-44-44420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004-44-44420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000

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