Finite Group Databasebeta

← Group #11870825

Character table — Group #11870825

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12222233446666663444446666666666612121212121212121212121212121212121212121212121212124444888888884444444424242424242424244444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ511111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ711111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ811111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ91111-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-1-1111-1-111-1-1-111-1-1-111-1
χ101111-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-111-1-1-111-1-111-111-1-11-1-11
χ111111-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1111-1-111-1-111
χ121111-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11111-1-1
χ131111-1-111111111111-1-111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-111-111-1-111-1-1-1-1-1111-1-11
χ141111-1-111111111111-1-111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-111-111-1
χ151111-1-111111111111-1-111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1
χ161111-1-111111111111-1-111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1111-1-1-1-111
χ1722222222-2-222222220000-222222222222-2-2-2-2-2-200000000-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-222222220000-222222222222-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ192222222-1222-12-12-1-12222222-1-1-1-1-1-1-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-12222222-1-1-1-1-1-1-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ212222222-1222-12-12-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-122-1-12-1-2-211-2-211-1-1-1-11111111100000000222200000-20-20000-1-1-1-1000000101
χ222222222-1222-12-12-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-122-1-12-1-2-211-2-211-1-1-1-11111111100000000-2-2-2-20000020200001111000000-10-1
χ23222222-1222-12-12-12-122222-1-122-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-122222-1-122-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ25222222-1222-12-12-12-1-2-2-2-22-1-122-1-1-1-1-1-1-1-1-122-1211-2-211-2-2-1-1-1-1111111110000222200000000-20-20-1-1-1-10000000001010
χ26222222-1222-12-12-12-1-2-2-2-22-1-122-1-1-1-1-1-1-1-1-122-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000020201111000000000-10-10
χ272222-2-222-2-2222222200002-2-2-2-22-2-2-2-222-2-2-2-22200000000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ282222-2-222-2-2222222200002-2-2-2-22-2-2-2-222-2-2-2-22200000000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ292222-2-22-1222-12-12-1-122-2-2-2-2-211-11111-1-122-1-1-2122-1-1-2-211-1-111-1-1-1-111110000000022-2-200000-2020000-1-111000000-101
χ302222-2-22-1222-12-12-1-122-2-2-2-2-211-11111-1-122-1-1-2122-1-1-2-211-1-111-1-1-1-1111100000000-2-2220000020-2000011-1-100000010-1
χ312222-2-22-1222-12-12-1-1-2-222-2-2-211-11111-1-122-1-1-21-2-21122-1-1-1-1111111-1-1-1-10000000022-2-20000020-20000-1-11100000010-1
χ322222-2-22-1222-12-12-1-1-2-222-2-2-211-11111-1-122-1-1-21-2-21122-1-1-1-1111111-1-1-1-100000000-2-22200000-202000011-1-1000000-101
χ332222-2-2-1222-12-12-12-122-2-2-211-2-2-11111-1-1-1-1221-2-1-12211-2-2-1-111-1-1-1-11111000022-2-20000000020-20-1-11100000000010-10
χ342222-2-2-1222-12-12-12-122-2-2-211-2-2-11111-1-1-1-1221-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-202011-1-1000000000-1010
χ352222-2-2-1222-12-12-12-1-2-222-211-2-2-11111-1-1-1-1221-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2020-1-111000000000-1010
χ362222-2-2-1222-12-12-12-1-2-222-211-2-2-11111-1-1-1-1221-211-2-2-1-122-1-1111111-1-1-1-10000-2-2220000000020-2011-1-100000000010-10
χ3722-2-22-2220022-2-2-2-22000002-22-2222-2-2-2-20000000000000000000000000022-2-22−22−22−22−22-20000002−22−22−22−2000000000
χ3822-2-22-2220022-2-2-2-22000002-22-2222-2-2-2-20000000000000000000000000022-2-2−22−22−22−222-2000000−22−22−22−22000000000
χ3922-2-22-2220022-2-2-2-22000002-22-2222-2-2-2-200000000000000000000000000-2-2222−22−2−22−22-220000002−22−2−22−22000000000
χ4022-2-22-2220022-2-2-2-22000002-22-2222-2-2-2-200000000000000000000000000-2-222−22−222−22−2-22000000−22−222−22−2000000000
χ4122-2-2-22220022-2-2-2-2200000-22-222-2-222-2-20000000000000000000000000022-2-22−2−222−2−22-220000002−2−222−2−22000000000
χ4222-2-2-22220022-2-2-2-2200000-22-222-2-222-2-20000000000000000000000000022-2-2−222−2−222−2-22000000−222−2−222−2000000000
χ4322-2-2-22220022-2-2-2-2200000-22-222-2-222-2-200000000000000000000000000-2-2222−2−22−222−22-20000002−2−22−222−2000000000
χ4422-2-2-22220022-2-2-2-2200000-22-222-2-222-2-200000000000000000000000000-2-222−222−22−2−222-2000000−222−22−2−22000000000
χ452-2-2200222-2-2-222-2-22002i−2i00000-200002-22-22-20000002i−2i2i−2i2-20000002i2i−2i−2i2i−2i2i−2i00000000002i−2i0000000000000002-20000
χ462-2-2200222-2-2-222-2-22002i−2i00000-200002-22-22-20000002i−2i2i−2i2-20000002i2i−2i−2i−2i2i−2i2i0000000000−2i2i000000000000000-220000
χ472-2-2200222-2-2-222-2-2200−2i2i00000-200002-22-22-2000000−2i2i−2i2i2-2000000−2i−2i2i2i2i−2i2i−2i00000000002i−2i000000000000000-220000
χ482-2-2200222-2-2-222-2-2200−2i2i00000-200002-22-22-2000000−2i2i−2i2i2-2000000−2i−2i2i2i−2i2i−2i2i0000000000−2i2i0000000000000002-20000
χ492-2-220022-22-2-222-2-222i−2i0000000-200002-2-22-22002i−2i2i−2i0000-22002i2i−2i−2i00002i−2i2i−2i0000000000−2i2i00000000000002-2000000
χ502-2-220022-22-2-222-2-222i−2i0000000-200002-2-22-22002i−2i2i−2i0000-22002i2i−2i−2i0000−2i2i−2i2i00000000002i−2i0000000000000-22000000
χ512-2-220022-22-2-222-2-22−2i2i0000000-200002-2-22-2200−2i2i−2i2i0000-2200−2i−2i2i2i00002i−2i2i−2i0000000000−2i2i0000000000000-22000000
χ522-2-220022-22-2-222-2-22−2i2i0000000-200002-2-22-2200−2i2i−2i2i0000-2200−2i−2i2i2i0000−2i2i−2i2i00000000002i−2i00000000000002-2000000
χ534444444-2-4-44-24-24-2-20000-444-2-2-2-2-2-2-2-2-2-4-422-42000000002222000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-24-24-20000-4-2-244-2-2-2-2-2-2-222-4-42-4000000002222000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2144444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ56444444-2-244-2-2-2-2-2-21-4-4-4-44-2-2-2-21111111-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-210000-4-2-2-2-2111111122222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-210000-4-2-2-2-2111111122222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ594444-4-44-2-4-44-24-24-2-200004-4-422-22222-2-2-4-4224-20000000022-2-2000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-24-24-24-20000422-4-4-22222-2-222-4-4-240000000022-2-2000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-2144-4-4-422221-1-1-1-111-2-2-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-4-444-422221-1-1-1-111-2-2-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-210000422221-1-1-1-1112222-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-210000422221-1-1-1-1112222-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-44-2004-2-42-42-2000004-4-22-2-2-22222000000000000000000000000000000000022−2222−22000000000000−22−22000000000
χ6644-4-44-44-2004-2-42-42-2000004-4-22-2-2-222220000000000000000000000000000000000−2222−22220000000000002−22−2000000000
χ6744-4-44-4-2400-242-42-4-200000-224-4-2-2-2222200000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ6844-4-44-4-2400-242-42-4-200000-224-4-2-2-22222000000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ6944-4-4-444-2004-2-42-42-200000-442-2-222-2-222000000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ7044-4-4-444-2004-2-42-42-200000-442-2-222-2-2220000000000000000000000000000000000−222222−220000000000002−2−22000000000
χ7144-4-4-44-2400-242-42-4-2000002-2-44-222-2-22200000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ7244-4-4-44-2400-242-42-4-2000002-2-44-222-2-222000000000000000000000000000000−222222−220000000000002−2−220000000000000
χ734-44-4004400-4-4-4-4444000000000-40000-44000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ744-44-4004400-4-4-4-4444000000000-40000-4400000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ754-4-44004-24-4-424-2-42-2004i−4i0000020000-224-4-220000004i−4i−2i2i-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ764-4-44004-24-4-424-2-42-200−4i4i0000020000-224-4-22000000−4i4i2i−2i-220000002i2i−2i−2i0000000000000000000000000000000000000
χ774-4-44004-2-44-424-2-42-24i−4i000000020000-22-442-2004i−4i−2i2i00002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ784-4-44004-2-44-424-2-42-2−4i4i000000020000-22-442-200−4i4i2i−2i00002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ794-4-4400-244-42-4-242-4-2004i−4i0000020000-22-224-4000000−2i2i4i−4i-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ804-4-4400-244-42-4-242-4-200−4i4i0000020000-22-224-40000002i−2i−4i4i-220000002i2i−2i−2i0000000000000000000000000000000000000
χ814-4-4400-24-442-4-242-4-24i−4i000000020000-222-2-4400−2i2i4i−4i00002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ824-4-4400-24-442-4-242-4-2−4i4i000000020000-222-2-44002i−2i−4i4i00002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ834-4-4400-2-24-422-2-2221004i−4i00000-13-33-31-1-22-22000000−2i2i−2i2i1-13-33i−3i−3i3iii−i−i0000000000000000000000000000000000000
χ844-4-4400-2-24-422-2-2221004i−4i00000-1-33-331-1-22-22000000−2i2i−2i2i1-1-33−3i3i3i−3iii−i−i0000000000000000000000000000000000000
χ854-4-4400-2-24-422-2-222100−4i4i00000-13-33-31-1-22-220000002i−2i2i−2i1-13-3−3i3i3i−3i−i−iii0000000000000000000000000000000000000
χ864-4-4400-2-24-422-2-222100−4i4i00000-1-33-331-1-22-220000002i−2i2i−2i1-1-333i−3i−3i3i−i−iii0000000000000000000000000000000000000
χ874-4-4400-2-2-4422-2-22214i−4i0000000-13-33-31-12-22-200−2i2i−2i2i0000-11-33ii−i−i3i−3i−3i3i0000000000000000000000000000000000000
χ884-4-4400-2-2-4422-2-22214i−4i0000000-1-33-331-12-22-200−2i2i−2i2i0000-113-3ii−i−i−3i3i3i−3i0000000000000000000000000000000000000
χ894-4-4400-2-2-4422-2-2221−4i4i0000000-13-33-31-12-22-2002i−2i2i−2i0000-11-33−i−iii−3i3i3i−3i0000000000000000000000000000000000000
χ904-4-4400-2-2-4422-2-2221−4i4i0000000-1-33-331-12-22-2002i−2i2i−2i0000-113-3−i−iii3i−3i−3i3i0000000000000000000000000000000000000
χ9188-8-88-8-4-400-4-44444200000-44-44222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-88-4-400-4-444442000004-44-42-2-222-2-2000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-400-84-848-4-4000000000400004-4000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-48004-84-8-48-4000000000400004-4000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4004444-4-42000000000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4004444-4-42000000000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000

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