Finite Group Databasebeta

← Group #11792249

Character table — Group #11792249

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212224466668888121212122424242424242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000
χ112222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-100000000000000
χ122222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000111100000000000000
χ132222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211-2-211-1-1-1-1111111112-22-2-1-1110000-1-11100000000000000
χ142222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211-2-211-1-1-1-111111111-22-2211-1-1000011-1-100000000000000
χ152222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-1-1-2-2111111-1-1-1-111110000−i3i3−i3i30000−i3i3−i3i300000000000000
χ162222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-1-1-2-2111111-1-1-1-111110000i3−i3i3−i30000i3−i3i3−i300000000000000
χ172222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-21122-1-111111111-1-1-1-10000−i3i3i3−i30000−i3i3i3−i300000000000000
χ182222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-21122-1-111111111-1-1-1-10000i3−i3−i3i30000i3−i3−i3i300000000000000
χ19222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000
χ20222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000
χ21222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-211-2-211-2-2-1-1-1-1111111110000000022-2-20000-1-1-1-11111000000
χ22222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-211-2-211-2-2-1-1-1-11111111100000000-2-22200001111-1-1-1-1000000
χ23222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-12211-2-21111-1-1-1-11111000000000000000033−3−333−3−3000000
χ24222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-12211-2-21111-1-1-1-111110000000000000000−3−333−3−333000000
χ25222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-2-2-1-12211111111-1-1-1-1000000000000000033−3−3−3−333000000
χ26222222-12-2-2-2-2-12-1-122-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-2-2-1-12211111111-1-1-1-10000000000000000−3−33333−3−3000000
χ272222-2-2222-22-22222222-2-2-2-22-2-2-2-2222-222-2-22-2000000000022-2-200000000020-20022000000-2-200000000000000
χ282222-2-2222-22-22222222-2-2-2-22-2-2-2-2222-222-2-22-2000000000022-2-2000000000-20200-2-20000002200000000000000
χ292222-2-222-22-222222222-2-2-2-22-2-2-2-222-22-2-222-220000000000-2-2220000000020-2022000000-2-20000000000000000
χ302222-2-222-22-222222222-2-2-2-22-2-2-2-222-22-2-222-220000000000-2-22200000000-2020-2-2000000220000000000000000
χ312222-2-22-12-22-22-122-1-1-1-2-211-11111-1-12-2-1-1112-20000−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i3020-2−i3i3-1-10000i3−i31100000000000000
χ322222-2-22-12-22-22-122-1-1-1-2-211-11111-1-12-2-1-1112-20000−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i30-202i3−i3110000−i3i3-1-100000000000000
χ332222-2-22-12-22-22-122-1-1-1-2-211-11111-1-12-2-1-1112-20000i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i3020-2i3−i3-1-10000−i3i31100000000000000
χ342222-2-22-12-22-22-122-1-1-1-2-211-11111-1-12-2-1-1112-20000i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i30-202−i3i3110000i3−i3-1-100000000000000
χ352222-2-22-1-22-222-122-1-1-1-2-211-11111-1-1-2211-1-1-220000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i320-20-1-1−i3i3000011i3−i300000000000000
χ362222-2-22-1-22-222-122-1-1-1-2-211-11111-1-1-2211-1-1-220000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-202011i3−i30000-1-1−i3i300000000000000
χ372222-2-22-1-22-222-122-1-1-1-2-211-11111-1-1-2211-1-1-220000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i320-20-1-1i3−i3000011−i3i300000000000000
χ382222-2-22-1-22-222-122-1-1-1-2-211-11111-1-1-2211-1-1-220000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-202011−i3i30000-1-1i3−i300000000000000
χ392-2-222-22222-2-2-2-22-2-2222-22-2-222-2-22-2222-22-2-2-200000000002-22-2000000000000000000000000000000002i2i−2i−2i00
χ402-2-222-22222-2-2-2-22-2-2222-22-2-222-2-22-2222-22-2-2-200000000002-22-200000000000000000000000000000000−2i−2i2i2i00
χ412-2-222-222-2-222-2-22-2-2222-22-2-222-2-22-2-2-2-22-22220000000000-22-220000000000000000000000000000000000002-2
χ422-2-222-222-2-222-2-22-2-2222-22-2-222-2-22-2-2-2-22-22220000000000-22-22000000000000000000000000000000000000-22
χ432-2-22-22222-2-22-2-22-2-222-22-22-2-2-2222-22-22-2-22-2200000000002-2-220000000000000000002-2000000002-22-2000000
χ442-2-22-22222-2-22-2-22-2-222-22-22-2-2-2222-22-22-2-22-2200000000002-2-22000000000000000000-2200000000-22-22000000
χ452-2-22-2222-222-2-2-22-2-222-22-22-2-2-2222-2-22-222-22-20000000000-222-200000000000000002-20000002-22-20000000000
χ462-2-22-2222-222-2-2-22-2-222-22-22-2-2-2222-2-22-222-22-20000000000-222-20000000000000000-22000000-22-220000000000
χ472-2-22-22-122-2-221-2-11-22-11-1-22111-1-1-11-112-2-221-1003−3003−300-111-13−33−33−33−300000000002-200003−3−33-11-11000000
χ482-2-22-22-122-2-221-2-11-22-11-1-22111-1-1-11-112-2-221-1003−3003−300-111-13−33−33−33−30000000000-220000−333−31-11-1000000
χ492-2-22-22-122-2-221-2-11-22-11-1-22111-1-1-11-112-2-221-100−3300−3300-111-1−33−33−33−3300000000002-20000−333−3-11-11000000
χ502-2-22-22-122-2-221-2-11-22-11-1-22111-1-1-11-112-2-221-100−3300−3300-111-1−33−33−33−330000000000-2200003−3−331-11-1000000
χ512-2-22-22-12-222-21-2-11-22-11-1-22111-1-1-111-1-222-2-11003−300−33001-1-113−33−3−33−33000000002-2000000-11-11−333−3000000
χ522-2-22-22-12-222-21-2-11-22-11-1-22111-1-1-111-1-222-2-11003−300−33001-1-113−33−3−33−3300000000-220000001-11-13−3−33000000
χ532-2-22-22-12-222-21-2-11-22-11-1-22111-1-1-111-1-222-2-1100−33003−3001-1-11−33−333−33−3000000002-2000000-11-113−3−33000000
χ542-2-22-22-12-222-21-2-11-22-11-1-22111-1-1-111-1-222-2-1100−33003−3001-1-11−33−333−33−300000000-220000001-11-1−333−3000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-442222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ594444-4-4-244-44-4-24-2-244-222-4-4-22222-2-2-2244-4-4-220000000000-2-22200000000000000000000000000000000000000
χ604444-4-4-24-44-44-24-2-244-222-4-4-22222-2-22-2-4-4442-2000000000022-2-200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-22-2-222-220000−2i32i300−2i32i311-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-22-2-222-2200002i3−2i3002i3−2i311-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-1112-222-2-22-20000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-1112-222-2-22-200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ6544-4-40044000044-4-4-4-44000040000-4-40000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ6644-4-40044000044-4-4-4-44000040000-4-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ674-44-400440000-4-4-444-440000-40000-440000000000000000000000000000000000000000000000000000002-2-2200
χ684-44-400440000-4-4-444-440000-40000-44000000000000000000000000000000000000000000000000000000-222-200
χ694-4-444-44-244-4-4-424-42-2-24-4-222-2-222-2244-22-22-4-40000000000-22-2200000000000000000000000000000000000000
χ704-4-444-44-2-4-444-424-42-2-24-4-222-2-222-22-4-42-22-24400000000002-22-200000000000000000000000000000000000000
χ714-4-444-4-2444-4-42-4-22-44-2-224-42-2-222-22-2-24-44-4220000000000-22-2200000000000000000000000000000000000000
χ724-4-444-4-24-4-4442-4-22-44-2-224-42-2-222-2222-44-44-2-200000000002-22-200000000000000000000000000000000000000
χ734-4-444-4-2-244-4-422-222-21-22-22-111-1-11-1-2-2-22-222200000000001-11-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ744-4-444-4-2-244-4-422-222-21-22-22-111-1-11-1-2-2-22-222200000000001-11-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ754-4-444-4-2-2-4-44422-222-21-22-22-111-1-11-1222-22-2-2-20000000000-11-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ764-4-444-4-2-2-4-44422-222-21-22-22-111-1-11-1222-22-2-2-20000000000-11-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ774-4-44-444-24-4-44-424-42-2-2-442-2222-2-2-224-4-222-2-440000000000-222-200000000000000000000000000000000000000
χ784-4-44-444-2-444-4-424-42-2-2-442-2222-2-2-22-442-2-224-400000000002-2-2200000000000000000000000000000000000000
χ794-4-44-44-2-24-4-4422-222-212-22-2-1-1-1111-1-22-222-22-20023−230023−23001-1-11−33−33−33−33000000000000000000000000000000
χ804-4-44-44-2-24-4-4422-222-212-22-2-1-1-1111-1-22-222-22-200−232300−2323001-1-113−33−33−33−3000000000000000000000000000000
χ814-4-44-44-2-2-444-422-222-212-22-2-1-1-1111-12-22-2-22-220023−2300−232300-111-1−33−333−33−3000000000000000000000000000000
χ824-4-44-44-2-2-444-422-222-212-22-2-1-1-1111-12-22-2-22-2200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000
χ8388-8-8008-400008-4-8-844-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-4844-8-8-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-4-444442000026-66-6-2-2000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-4-44444200002-66-66-2-2000000000000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-84-88-44-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-84-48-8-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-40000444-4-4420000-26-6-66-22000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-40000444-4-4420000-2-666-6-22000000000000000000000000000000000000000000000000000000000000

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