Finite Group Databasebeta

← Group #11887534

Character table — Group #11887534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12222233446666663444666666666661212121212121212224441212121212121212121212121212121212121212446688881212888824441212121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5111111111111111111-1-11111111111111-1-1-1-1111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111111-1-1-1-1111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-111111111-1-1-1-11
χ8111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1
χ91111-1-111111111111-111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-1-1111-11
χ101111-1-111111111111-111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-111-1-1-1111-1-11111-1-1-11-1
χ111111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-111111111-1-1111-1-1-111-1-111-1-11-1-1
χ121111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-11111-1-1-1-1-111-1-111-111
χ131111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-1-111-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-11111-11-1
χ141111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-1-111-11111-1-1-1-1-1-11111-1111-1-111-1-1111111-1-1-1111-1-1-1-111-1-1-1-11-11
χ151111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1111-1-1-111-11111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1111-1-1-11111-1-1-1-1-1-1-111
χ161111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1111-1-1-111-11111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11-11-11-1-1-111-1-11111111-1-1
χ1722222222-2-22222222-20022222222222-2-20000-2-222220-20000-200-2-2-2-200000000-2-22200002200000000-200-20000000000000
χ1822222222-2-22222222-20022222222222-2-20000-2-2-2-2-2-20-20000-200-2-2-2-20000000022-2-20000-2-20000000020020000000000000
χ192222222-122-12-1-122-122222-1-1-1-1-1-1-1-1-1222222-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000022220000002002000000-1-1-1-10000-1-10
χ202222222-122-12-1-122-122222-1-1-1-1-1-1-1-1-1222222-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-200-200000011110000110
χ212222222-122-12-1-122-12-2-222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-10000-2-111112-2-2-1-1-1-11111111100002222000000-200-2000000-1-1-1-10000110
χ222222222-122-12-1-122-12-2-222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-10000-2-111112-2-2-1-1-1-1111111110000-2-2-2-2000000200200000011110000-1-10
χ23222222-12222-122-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-100000220-1-1-1-1-1-100000000000
χ24222222-12222-122-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21100001100000-2-2011111100000000000
χ25222222-12222-122-1-1-12-2-2-1-122-1-1-1-1-1-1-1-1-11111222222-22-2-2-2-2-111-1-1-1-11111111122-1-10000-1-100000-2-20-111-11100000000000
χ26222222-12222-122-1-1-12-2-2-1-122-1-1-1-1-1-1-1-1-1111122-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-211000011000002201-1-11-1-100000000000
χ27222222-12-2-22-122-1-1-1-200-1-122-1-1-1-1-1-1-111−i3−i3i3i3-2-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2-1-10000-1-1000000001−i3i31−i3i300000000000
χ28222222-12-2-22-122-1-1-1-200-1-122-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3221100001100000000-1i3−i3-1i3−i300000000000
χ29222222-12-2-22-122-1-1-1-200-1-122-1-1-1-1-1-1-111i3i3−i3−i3-2-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2-1-10000-1-1000000001i3−i31i3−i300000000000
χ30222222-12-2-22-122-1-1-1-200-1-122-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3221100001100000000-1−i3i3-1−i3i300000000000
χ312222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-222-2-2020000200-2-222000000002-2220000-2-200000000200-20000000000000
χ322222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-2-2-222020000200-2-22200000000-22-2-200002200000000-20020000000000000
χ332222-2-22-122-12-1-122-1-222-2-211-1-11111-1222222-1-10000-21-1-111-2-2-2-1-111-1-1-1-11111000022-2-2000000200-2000000-1-1110000-110
χ342222-2-22-122-12-1-122-1-222-2-211-1-11111-1222222-1-10000-21-1-111-2-2-2-1-111-1-1-1-111110000-2-222000000-200200000011-1-100001-10
χ352222-2-22-122-12-1-122-1-2-2-2-2-211-1-11111-122-2-2-2-2-1-100002111-1-1-222-1-1111111-1-1-1-1000022-2-2000000-2002000000-1-11100001-10
χ362222-2-22-122-12-1-122-1-2-2-2-2-211-1-11111-122-2-2-2-2-1-100002111-1-1-222-1-1111111-1-1-1-10000-2-222000000200-200000011-1-10000-110
χ372222-2-2-12222-122-1-1-1-22211-2-2-1-11111-1-1-1-1-1-1-12222-2-2-2-222-2-2111-1-111-1-1-1-11111-22-1-100001100000-220111-1-1-100000000000
χ382222-2-2-12222-122-1-1-1-22211-2-2-1-11111-1-1-1-1-1-1-122-2-222-2-222-2-2111-1-111-1-1-1-111112-2110000-1-1000002-20-1-1-111100000000000
χ392222-2-2-12222-122-1-1-1-2-2-211-2-2-1-11111-1-1-111112222-2-22-2-2-2221-1-1-1-1111111-1-1-1-1-22-1-1000011000002-201-1-1-11100000000000
χ402222-2-2-12222-122-1-1-1-2-2-211-2-2-1-11111-1-1-1111122-2-2222-2-2-2221-1-1-1-1111111-1-1-1-12-2110000-1-100000-220-1111-1-100000000000
χ412222-2-2-12-2-22-122-1-1-120011-2-2-1-11111-111−i3−i3i3i3-2-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-1-100001100000000-1i3−i31−i3i300000000000
χ422222-2-2-12-2-22-122-1-1-120011-2-2-1-11111-111−i3−i3i3i3-2-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22110000-1-1000000001−i3i3-1i3−i300000000000
χ432222-2-2-12-2-22-122-1-1-120011-2-2-1-11111-111i3i3−i3−i3-2-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-1-100001100000000-1−i3i31i3−i300000000000
χ442222-2-2-12-2-22-122-1-1-120011-2-2-1-11111-111i3i3−i3−i3-2-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22110000-1-1000000001i3−i3-1−i3i300000000000
χ452-22-200222-2-2-22-2-22202-20000-2-2000022-22-22-22-20000002-2000002-2002-22-2000000000000002i2i−2i−2i000000000000002i−2i00000
χ462-22-200222-2-2-22-2-22202-20000-2-2000022-22-22-22-20000002-2000002-2002-22-200000000000000−2i−2i2i2i00000000000000−2i2i00000
χ472-22-200222-2-2-22-2-2220-220000-2-2000022-2-22-222-2000000-22000002-200-22-22000000000000002i2i−2i−2i00000000000000−2i2i00000
χ482-22-200222-2-2-22-2-2220-220000-2-2000022-2-22-222-2000000-22000002-200-22-2200000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-2-222-22200-22-22-2-220002-22-22-222-2-2-2000000002-22-2000000000000000000000002-2−i2i2−i2i22-2−i2i2−i2i20000000000−i2i2−i2i200−i2i2000
χ502-2-222-22200-22-22-2-220002-22-22-222-2-2-2000000002-22-2000000000000000000000002-2i2−i2i2−i22-2i2−i2i2−i20000000000i2−i2i2−i200i2−i2000
χ512-2-222-22200-22-22-2-220002-22-22-222-2-2-200000000-22-2200000000000000000000000-22−i2i2−i2i2-22i2−i2i2−i20000000000−i2i2−i2i200i2−i2000
χ522-2-222-22200-22-22-2-220002-22-22-222-2-2-200000000-22-2200000000000000000000000-22i2−i2i2−i2-22−i2i2−i2i20000000000i2−i2i2−i200−i2i2000
χ532-2-22-222200-22-22-2-22000-22-222-2-2-222-2000000002-2-22000000000000000000000002-2−i2i2i2−i2-22i2−i2i2−i20000000000−i2i2i2−i200−i2i2000
χ542-2-22-222200-22-22-2-22000-22-222-2-2-222-2000000002-2-22000000000000000000000002-2i2−i2−i2i2-22−i2i2−i2i20000000000i2−i2−i2i200i2−i2000
χ552-2-22-222200-22-22-2-22000-22-222-2-2-222-200000000-222-200000000000000000000000-22−i2i2i2−i22-2−i2i2−i2i20000000000−i2i2i2−i200i2−i2000
χ562-2-22-222200-22-22-2-22000-22-222-2-2-222-200000000-222-200000000000000000000000-22i2−i2−i2i22-2i2−i2i2−i20000000000i2−i2−i2i200−i2i2000
χ574444444-2-4-4-24-2-244-2-40044-2-2-2-2-2-2-2-2-2-4-40000220000020000-40022220000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-4-4-2-2-2-21111111-2-22222-2-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-2111111122−2i3−2i32i32i32200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-21111111222i32i3−2i3−2i322000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ624444-4-44-2-4-4-24-2-244-2400-4-422-2-22222-2-4-400002200000-2000040022-2-20000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-444222211-1-1-1-11-2-2-2-2-2-2-2-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-4-4-4222211-1-1-1-11-2-22222-2-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-1122−2i3−2i32i32i32200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-11222i32i3−2i3−2i32200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-40044004-4-4-44-440000000-440000-4000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-40044004-4-4-44-440000000-440000-40000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-40044-44-4-44-4-4440000000-4-400004-440000-440000000000000-44000000000000000000000000000000000000000000000
χ704-44-4004-24-42-4-22-44-204-40000220000-24-44-44-4-22000000-2200000-2200-22-22000000000000000000000000000000000000000
χ714-44-4004-24-42-4-22-44-20-440000220000-24-4-44-44-220000002-200000-22002-22-2000000000000000000000000000000000000000
χ724-44-4004-2-442-4-22-44-20000000220000-2-4400002-200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ734-44-4004-2-442-4-22-44-20000000220000-2-4400002-2000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ744-44-400-244-4-424-42-2-204-40000220000-2-22-22-224-40000004-400000-2200-22-22000000000000000000000000000000000000000
χ754-44-400-244-4-424-42-2-20-440000220000-2-222-22-24-4000000-4400000-22002-22-2000000000000000000000000000000000000000
χ764-44-400-24-44-424-42-2-20000000220000-22-2−2i32i32i3−2i3-4400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ774-44-400-24-44-424-42-2-20000000220000-22-22i3−2i3−2i32i3-4400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ784-44-400-2-24-422-222-2104-40000-1-13-33-31-22-22-22-22000000-22000001-13-31-11-13-3-3300000000000000000000000000000000000
χ794-44-400-2-24-422-222-2104-40000-1-1-33-331-22-22-22-22000000-22000001-1-331-11-1-333-300000000000000000000000000000000000
χ804-44-400-2-24-422-222-210-440000-1-13-33-31-222-22-2-220000002-2000001-13-3-11-11-333-300000000000000000000000000000000000
χ814-44-400-2-24-422-222-210-440000-1-1-33-331-222-22-2-220000002-2000001-1-33-11-113-3-3300000000000000000000000000000000000
χ824-44-400-2-2-4422-222-210000000-1-13-33-312-2−2i32i32i3−2i32-2000000002i3−2i3000-11-33i3−i3−i3i3−i3i3−i3i300000000000000000000000000000000000
χ834-44-400-2-2-4422-222-210000000-1-13-33-312-22i3−2i3−2i32i32-200000000−2i32i3000-11-33−i3i3i3−i3i3−i3i3−i300000000000000000000000000000000000
χ844-44-400-2-2-4422-222-210000000-1-1-33-3312-2−2i32i32i3−2i32-200000000−2i32i3000-113-3i3−i3−i3i3i3−i3i3−i300000000000000000000000000000000000
χ854-44-400-2-2-4422-222-210000000-1-1-33-3312-22i3−2i3−2i32i32-2000000002i3−2i3000-113-3−i3i3i3−i3−i3i3−i3i300000000000000000000000000000000000
χ864-4-444-44-200242-2-4-4-20004-4-22-22-2-22220000000000000000000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i20000000
χ874-4-444-44-200242-2-4-4-20004-4-22-22-2-222200000000000000000000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i20000000
χ884-4-444-4-2400-4-2-4422-2000-224-4-22-2-2222000000004-44-400000000000000000000000-220000-220000000000000000000000000
χ894-4-444-4-2400-4-2-4422-2000-224-4-22-2-222200000000-44-44000000000000000000000002-200002-20000000000000000000000000
χ904-4-44-444-200242-2-4-4-2000-442-2-2222-2-220000000000000000000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i20000000
χ914-4-44-444-200242-2-4-4-2000-442-2-2222-2-2200000000000000000000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i20000000
χ924-4-44-44-2400-4-2-4422-20002-2-44-2222-2-22000000004-4-4400000000000000000000000-2200002-20000000000000000000000000
χ934-4-44-44-2400-4-2-4422-20002-2-44-2222-2-2200000000-444-4000000000000000000000002-20000-220000000000000000000000000
χ9488-8-8008-400-4-8448-8-400000004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-800-480084-8-8-44-400000004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-400-4444-4420000000-226-6-66-200000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-400-4444-4420000000-22-666-6-200000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-8-4-4004-44-4442000-44-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-88-4-4004-44-44420004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000

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