Finite Group Databasebeta

← Group #11792768

Character table — Group #11792768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121224668888881212242424242424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000002i−2i000000002i2i−2i−2i0000000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000−2i2i00000000−2i−2i2i2i0000000000
χ112222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1220000-1-1-1-1-1-100000000000000
χ122222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2000011111100000000000000
χ132222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-11111111122-1-1-2-20000-1-1111100000000000000
χ142222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111-2-21122000011-1-1-1-100000000000000
χ15222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000011111111000000
χ17222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-11111111100000022-2-2000000-1-1-1-11111000000
χ18222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-111111111000000-2-2220000001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000002i−2i00000000−i−iii33−3−3000000
χ20222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i3000000−2i2i00000000ii−i−i−3−333000000
χ21222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000002i−2i00000000−i−iii−3−333000000
χ22222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i3000000−2i2i00000000ii−i−i33−3−3000000
χ232222-2-22222-2-22222222-2-2-2-222-2-2-2-222-22-2-22-22000000000022-2-2000000002-222000000-2-2000000000000000000
χ242222-2-22222-2-22222222-2-2-2-222-2-2-2-222-22-2-22-22000000000022-2-200000000-22-2-200000022000000000000000000
χ252222-2-222-2-2222222222-2-2-2-222-2-2-2-22-22-222-22-20000000000-2-2220000000000000000000000000000000022-2-200
χ262222-2-222-2-2222222222-2-2-2-222-2-2-2-22-22-222-22-20000000000-2-22200000000000000000000000000000000-2-22200
χ272222-2-22-122-2-222-1-12-1-1-2-211-1-11111-12-2-1112-2-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i32-2-1-100000011−i3−i3i3i300000000000000
χ282222-2-22-122-2-222-1-12-1-1-2-211-1-11111-12-2-1112-2-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3-2211000000-1-1i3i3−i3−i300000000000000
χ292222-2-22-122-2-222-1-12-1-1-2-211-1-11111-12-2-1112-2-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i32-2-1-100000011i3i3−i3−i300000000000000
χ302222-2-22-122-2-222-1-12-1-1-2-211-1-11111-12-2-1112-2-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3-2211000000-1-1−i3−i3i3i300000000000000
χ312-2-222-2222-22-2-2-2-2-22222-22-2-2-222-2-222-2-22-2-22200000000002-22-20000000000002-20000002-22-200000000000000
χ322-2-222-2222-22-2-2-2-2-22222-22-2-2-222-2-222-2-22-2-22200000000002-22-2000000000000-22000000-22-2200000000000000
χ332-2-222-222-22-22-2-2-2-22222-22-2-2-222-2-22-222-222-2-20000000000-22-220000000000000000000000000000000000002-2
χ342-2-222-222-22-22-2-2-2-22222-22-2-2-222-2-22-222-222-2-20000000000-22-22000000000000000000000000000000000000-22
χ352-2-222-22-12-22-2-2-2112-1-12-2-1111-1-111-12-21-11-22-1000000−i3i3−i3i3-11-11−i3i3−i3i3−i3i3−i3i300−i3i32-20000−i3i3-11-1100000000000000
χ362-2-222-22-12-22-2-2-2112-1-12-2-1111-1-111-12-21-11-22-1000000−i3i3−i3i3-11-11−i3i3−i3i3−i3i3−i3i300i3−i3-220000i3−i31-11-100000000000000
χ372-2-222-22-12-22-2-2-2112-1-12-2-1111-1-111-12-21-11-22-1000000i3−i3i3−i3-11-11i3−i3i3−i3i3−i3i3−i300−i3i3-220000−i3i31-11-100000000000000
χ382-2-222-22-12-22-2-2-2112-1-12-2-1111-1-111-12-21-11-22-1000000i3−i3i3−i3-11-11i3−i3i3−i3i3−i3i3−i300i3−i32-20000i3−i3-11-1100000000000000
χ392-2-22-22222-2-22-2-2-2-2222-22-22-2-2-2-222222-2-22-2-222-22-22-22-2-222-2-222-2-222-2-22000000000000000000000000000000
χ402-2-22-22222-2-22-2-2-2-2222-22-22-2-2-2-222222-2-22-2-22-22-22-22-222-22-2-22-222-2-222-2000000000000000000000000000000
χ412-2-22-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-2-222-222-20000000000-222-200000000000000002-200000000002-22-2000000
χ422-2-22-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-2-222-222-20000000000-222-20000000000000000-220000000000-22-22000000
χ432-2-22-222-12-2-22-2-2112-1-1-221-11111-1-1-12211-1-2-2-12-22-22-2-111-1-111-1-111-1-111-100−i3i3000000i3−i3−i3i3i3−i300000000000000
χ442-2-22-222-12-2-22-2-2112-1-1-221-11111-1-1-12211-1-2-2-12-22-22-2-111-1-111-1-111-1-111-100i3−i3000000−i3i3i3−i3−i3i300000000000000
χ452-2-22-222-12-2-22-2-2112-1-1-221-11111-1-1-12211-1-2-2-1-22-22-221-1-11-111-11-1-111-1-1100−i3i3000000i3−i3i3−i3−i3i300000000000000
χ462-2-22-222-12-2-22-2-2112-1-1-221-11111-1-1-12211-1-2-2-1-22-22-221-1-11-111-11-1-111-1-1100i3−i3000000−i3i3−i3i3i3−i300000000000000
χ472-2-22-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1-1-2-221122-2-11-112-2-22-111-1-111-1-111-100000000000000003−33−33−3−33000000
χ482-2-22-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1-1-2-221122-2-11-112-2-22-111-1-111-1-111-10000000000000000−33−33−333−3000000
χ492-2-22-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1-1-2-22112-221-11-1-222-2-111-11-1-111-1-1100000000000000003−33−3−333−3000000
χ502-2-22-22-122-2-2211-2-2-12-11-1-221111-1-1-1-1-1-2-22112-221-11-1-222-2-111-11-1-111-1-110000000000000000−33−333−3−33000000
χ512-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-11122-2-1-1-200−i3i3i3−i300001-1-11−i3i3i3−i3i3−i3−i3i3000000002-2000000−i3i3i3−i3-11-11000000
χ522-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-11122-2-1-1-200−i3i3i3−i300001-1-11−i3i3i3−i3i3−i3−i3i300000000-22000000i3−i3−i3i31-11-1000000
χ532-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-11122-2-1-1-200i3−i3−i3i300001-1-11i3−i3−i3i3−i3i3i3−i3000000002-2000000i3−i3−i3i3-11-11000000
χ542-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-11122-2-1-1-200i3−i3−i3i300001-1-11i3−i3−i3i3−i3i3i3−i300000000-22000000−i3i3i3−i31-11-1000000
χ554444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-420000000000222200000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-4-44-2-4-44444-2-24-2-2-4-422-2-22222-2-442-2-2-442000000000022-2-200000000000000000000000000000000000000
χ614444-4-4-2444-4-4-2-244-24-222-4-4-2-22222-2-224-4-4-2240000000000-2-22200000000000000000000000000000000000000
χ624444-4-4-24-4-444-2-244-24-222-4-4-2-22222-22-2-4442-2-4000000000022-2-200000000000000000000000000000000000000
χ634444-4-4-2-244-4-4-2-2-2-2-2-21222211-1-1-1-11-22-222-22-2000000−2i3−2i32i32i311-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-244-4-4-2-2-2-2-2-21222211-1-1-1-11-22-222-22-20000002i32i3−2i3−2i311-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-4-444-2-2-2-2-2-21222211-1-1-1-112-22-2-22-220000000000-1-11133-3-3-3-333000000000000000000000000000000
χ664444-4-4-2-2-4-444-2-2-2-2-2-21222211-1-1-1-112-22-2-22-220000000000-1-111-3-33333-3-3000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4400004-40000-40000000000000000000000000000000000000000000000000000000022−2200
χ6844-4-4004400004-44-4-4-4400004-40000-400000000000000000000000000000000000000000000000000000000−222200
χ694-44-400440000-44-44-4-440000-440000-400000000000000000000000000000000000000000000000000000022−220000
χ704-44-400440000-44-44-4-440000-440000-4000000000000000000000000000000000000000000000000000000−22220000
χ714-4-444-44-2-44-44-4-4224-2-24-4-2222-2-222-2-44-22-24-4200000000002-22-200000000000000000000000000000000000000
χ724-4-444-4-244-44-422-4-4-24-2-224-422-2-222-2-22-44-42-240000000000-22-2200000000000000000000000000000000000000
χ734-4-444-4-24-44-4422-4-4-24-2-224-422-2-222-22-24-44-22-400000000002-22-200000000000000000000000000000000000000
χ744-4-444-4-2-24-44-42222-2-21-22-22-1-111-1-11-222-222-2-2000000−2i32i3−2i32i31-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ754-4-444-4-2-24-44-42222-2-21-22-22-1-111-1-11-222-222-2-20000002i3−2i32i3−2i31-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ764-4-444-4-2-2-44-442222-2-21-22-22-1-111-1-112-2-22-2-2220000000000-11-113-33-3-33-33000000000000000000000000000000
χ774-4-444-4-2-2-44-442222-2-21-22-22-1-111-1-112-2-22-2-2220000000000-11-11-33-333-33-3000000000000000000000000000000
χ784-4-44-444-2-444-4-4-4224-2-2-442-22222-2-2-2-4-4-2-2244200000000002-2-2200000000000000000000000000000000000000
χ794-4-44-44-2-24-4-442222-2-212-22-2-1-1-1-1111-2-222-222-24-4-22-22-222-21-1-111-1-111-1-11000000000000000000000000000000
χ804-4-44-44-2-24-4-442222-2-212-22-2-1-1-1-1111-2-222-222-2-442-22-22-2-221-1-11-111-1-111-1000000000000000000000000000000
χ814-4-44-44-2-2-444-42222-2-212-22-2-1-1-1-111122-2-22-2-2200−2i32i32i3−2i30000-111-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000
χ824-4-44-44-2-2-444-42222-2-212-22-2-1-1-1-111122-2-22-2-22002i3−2i3−2i32i30000-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000
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
χ878-88-8008-40000-884-4-84-400004-400004000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-884-8-400004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-44-44420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-44-44420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000

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