Finite Group Databasebeta

← Group #11867171

Character table — Group #11867171

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121288888888224424446612121212121224242424242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111111-11-111-1-1-1-11111-1-111-1-1-1-11-1
χ101111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-11
χ111111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-11
χ121111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-11-11-1-11111-1-1-1-111-1-111-1-11-1
χ131111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-11111-11-11-1-11111-1-111-1-111-1-1-1-1-11
χ141111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-1
χ151111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111-1
χ161111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111111-11-111-1-1-1-111-1-111-1-111-1-1-11
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000022-2-2000000000000000000002-200
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000-2-22200000000000000000000-2200
χ192222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002002-1-100-1-100-1-1-1-100000000
χ202222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-200-211001100111100000000
χ212222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-111111111222200000000-200-211001100-1-1-1-100000000
χ222222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000000002002-1-100-1-100111100000000
χ23222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000022000-1-100-1-10000-1-1-1-10000
χ24222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000-2-2000110011000011110000
χ25222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-1111111110000222200000-2-20001100110000-1-1-1-10000
χ26222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-20000022000-1-100-1-1000011110000
χ272222-2-222-222-22222222-2-2-2-22-2-2-2-222-222-222-2-20000000000-2-222000000000000000022-2-200000000000000000000-2200
χ282222-2-222-222-22222222-2-2-2-22-2-2-2-222-222-222-2-20000000000-2-2220000000000000000-2-222000000000000000000002-200
χ292222-2-22-12-2-22-12-12-12-1-2-211-11111-1-12-2-2-1112-12-2-1-11122-2-2-1-111-1-1-1-1111122-2-200000000200-2-1-1001100-1-11100000000
χ302222-2-22-12-2-22-12-12-12-1-2-211-11111-1-12-2-2-1112-12-2-1-11122-2-2-1-111-1-1-1-11111-2-22200000000-20021100-1-10011-1-100000000
χ312222-2-22-12-2-22-12-12-12-1-2-211-11111-1-12-2-2-1112-1-2211-1-1-2-222-1-1111111-1-1-1-122-2-200000000-20021100-1-100-1-11100000000
χ322222-2-22-12-2-22-12-12-12-1-2-211-11111-1-12-2-2-1112-1-2211-1-1-2-222-1-1111111-1-1-1-1-2-22200000000200-2-1-100110011-1-100000000
χ332222-2-2-122-2-222-12-12-1-111-2-2-11111-1-1-1112-2-2-122-222-2-2-1-111-1-111-1-1-1-11111000022-2-200000-220001100-1-10000-1-1110000
χ342222-2-2-122-2-222-12-12-1-111-2-2-11111-1-1-1112-2-2-122-222-2-2-1-111-1-111-1-1-1-111110000-2-222000002-2000-1-10011000011-1-10000
χ352222-2-2-122-2-222-12-12-1-111-2-2-11111-1-1-1112-2-2-12-22-2-22211-1-1-1-1111111-1-1-1-1000022-2-2000002-2000-1-100110000-1-1110000
χ362222-2-2-122-2-222-12-12-1-111-2-2-11111-1-1-1112-2-2-12-22-2-22211-1-1-1-1111111-1-1-1-10000-2-22200000-220001100-1-1000011-1-10000
χ372-2-222-22222-2-2-22-2-22-222-22-2-222-2-22-222-222-2-2-200000000002-22-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ382-2-222-22222-2-2-22-2-22-222-22-2-222-2-22-222-222-2-2-200000000002-22-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ392-2-222-222-2-222-22-2-22-222-22-2-222-2-22-2-2-22-2-22220000000000-22-220000000000002-22-2000000000000000000002-22-20000
χ402-2-222-222-2-222-22-2-22-222-22-2-222-2-22-2-2-22-2-22220000000000-22-22000000000000-22-2200000000000000000000-22-220000
χ412-2-222-22-122-2-2121-2-1-2-12-2-111-1-111-1122-2-1-11-21003−33−30000-11-1133−3−333−3−32i−2i2i−2i000000000000−i3i300−i3i300−ii−ii00000000
χ422-2-222-22-122-2-2121-2-1-2-12-2-111-1-111-1122-2-1-11-21003−33−30000-11-1133−3−333−3−3−2i2i−2i2i000000000000i3−i300i3−i300i−ii−i00000000
χ432-2-222-22-122-2-2121-2-1-2-12-2-111-1-111-1122-2-1-11-2100−33−330000-11-11−3−333−3−3332i−2i2i−2i000000000000i3−i300i3−i300−ii−ii00000000
χ442-2-222-22-122-2-2121-2-1-2-12-2-111-1-111-1122-2-1-11-2100−33−330000-11-11−3−333−3−333−2i2i−2i2i000000000000−i3i300−i3i300i−ii−i00000000
χ452-2-222-2-12-2-222-2-1-2121-1-112-21-1-111-1111-1-2-22-120000003−33−31-11-13−33−33−33−300002-22-200000000003−3003−30000-11-110000
χ462-2-222-2-12-2-222-2-1-2121-1-112-21-1-111-1111-1-2-22-120000003−33−31-11-13−33−33−33−30000-22-220000000000−3300−3300001-11-10000
χ472-2-222-2-12-2-222-2-1-2121-1-112-21-1-111-1111-1-2-22-12000000−33−331-11-1−33−33−33−3300002-22-20000000000−3300−330000-11-110000
χ482-2-222-2-12-2-222-2-1-2121-1-112-21-1-111-1111-1-2-22-12000000−33−331-11-1−33−33−33−330000-22-2200000000003−3003−300001-11-10000
χ492-2-22-22222-22-2-22-2-22-22-22-22-2-2-2222-22-222-22-2-200000000002-2-22000000002i−2i−2i2i000000000000000000002i−2i−2i2i00000000
χ502-2-22-22222-22-2-22-2-22-22-22-22-2-2-2222-22-222-22-2-200000000002-2-2200000000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000
χ512-2-22-2222-22-22-22-2-22-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-20000000000002-2-22000000000000000000002-2-220000
χ522-2-22-2222-22-22-22-2-22-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-2000000000000-222-200000000000000000000-222-20000
χ532-2-22-222-12-22-2121-2-1-2-1-221-1111-1-1-112-22-11-1-21003−3−330000-111-133−3−3−3−3332i−2i−2i2i000000000000−i3i300i3−i300−iii−i00000000
χ542-2-22-222-12-22-2121-2-1-2-1-221-1111-1-1-112-22-11-1-21003−3−330000-111-133−3−3−3−333−2i2i2i−2i000000000000i3−i300−i3i300i−i−ii00000000
χ552-2-22-222-12-22-2121-2-1-2-1-221-1111-1-1-112-22-11-1-2100−333−30000-111-1−3−33333−3−32i−2i−2i2i000000000000i3−i300−i3i300−iii−i00000000
χ562-2-22-222-12-22-2121-2-1-2-1-221-1111-1-1-112-22-11-1-2100−333−30000-111-1−3−33333−3−3−2i2i2i−2i000000000000−i3i300i3−i300i−i−ii00000000
χ572-2-22-22-12-22-22-2-1-2121-11-1-22111-1-1-111-11-22-2-120000003−3−331-1-113−33−3−33−3300002-2-220000000000−33003−30000-111-10000
χ582-2-22-22-12-22-22-2-1-2121-11-1-22111-1-1-111-11-22-2-120000003−3−331-1-113−33−3−33−330000-222-200000000003−300−3300001-1-110000
χ592-2-22-22-12-22-22-2-1-2121-11-1-22111-1-1-111-11-22-2-12000000−333−31-1-11−33−333−33−300002-2-2200000000003−300−330000-111-10000
χ602-2-22-22-12-22-22-2-1-2121-11-1-22111-1-1-111-11-22-2-12000000−333−31-1-11−33−333−33−30000-222-20000000000−33003−300001-1-110000
χ614444444-2-4-4-4-4-24-24-24-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000222200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-44-24-24-2-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000222200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-2-444-4-24-24-24-2-4-422-22222-2-2-4442-2-2-42000000000022-2-200000000000000000000000000000000000000000000
χ684444-4-4-24-444-44-24-24-2-222-4-4-22222-2-22-2-2-4442-4000000000022-2-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-222-222-2-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-222-222-2-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-2-22-2-2220000000000-1-1113-3-33-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-2-22-2-2220000000000-1-111-333-33-3-33000000000000000000000000000000000000
χ7344-4-4004400004-4-44-4-44000040000-4-400000000000000000000000000000000000000004i−4i000000000000000000000000
χ7444-4-4004400004-4-44-4-44000040000-4-40000000000000000000000000000000000000000−4i4i000000000000000000000000
χ754-44-400440000-4-44-4-4440000-40000-44000000000000000000000000000000000000004-400000000000000000000000000
χ764-44-400440000-4-44-4-4440000-40000-4400000000000000000000000000000000000000-4400000000000000000000000000
χ774-4-444-44-2-4-444242-4-2-4-24-4-222-2-222-22-4-4422-24-200000000002-22-200000000000000000000000000000000000000000000
χ784-4-444-4-2444-4-4-4-2-4242-2-224-42-2-222-22-2-2244-42-40000000000-22-2200000000000000000000000000000000000000000000
χ794-4-444-4-2-244-4-42-222-221-22-22-111-1-11-1-2-22-2-22220023−2323−2300001-11-1−3−333−3−333000000000000000000000000000000000000
χ804-4-444-4-2-244-4-42-222-221-22-22-111-1-11-1-2-22-2-222200−2323−232300001-11-133−3−333−3−3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-4442-222-221-22-22-111-1-11-122-222-2-2-200000023−2323−23-11-11−33−33−33−33000000000000000000000000000000000000
χ824-4-444-4-2-2-4-4442-222-221-22-22-111-1-11-122-222-2-2-2000000−2323−2323-11-113−33−33−33−3000000000000000000000000000000000000
χ834-4-44-444-2-44-44242-4-2-4-2-442-2222-2-2-22-44-42-224-200000000002-2-2200000000000000000000000000000000000000000000
χ844-4-44-44-244-44-4-4-2-4242-22-2-44222-2-2-22-22-24-442-40000000000-222-200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-42-222-2212-22-2-1-1-1111-1-22-2-22-2220023−23−232300001-1-11−3−33333−3−3000000000000000000000000000000000000
χ864-4-44-44-2-24-44-42-222-2212-22-2-1-1-1111-1-22-2-22-22200−232323−2300001-1-1133−3−3−3−333000000000000000000000000000000000000
χ874-4-44-44-2-2-44-442-222-2212-22-2-1-1-1111-12-222-22-2-200000023−23−2323-111-1−33−333−33−3000000000000000000000000000000000000
χ884-4-44-44-2-2-44-442-222-2212-22-2-1-1-1111-12-222-22-2-2000000−232323−23-111-13−33−3−33−33000000000000000000000000000000000000
χ8988-8-8008-40000-4-8484-8-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-48000084-8-4-84-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-444-4442000026-66-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-444200002-66-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-400004-8-4-848-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-480000-8484-8-4-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-444-420000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-444-420000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000000

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