Finite Group Databasebeta

← Group #11889433

Character table — Group #11889433

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212122244121212121212121212121212244444466881212121212121212121212124468121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111-1-1111111111111-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-11111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-111111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-111-1-11111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-11111111-1-111111-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1-1-111-1-1111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111-1-1-1-11111111-111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1111-1-1-11-1111-1-111111-1-1-1-11-11
χ10111111111111111-1-1111-1-1-1-11111111-111-1-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-11111-11-1
χ11111111111111111-1-1111-1-1-1-1111111-11-1-1-1-11111-1-1-1-1-1111-11111111111-1-11-1-1-111-1-1-1-111-1-11-1-1-1-111111-1-1
χ12111111111111111-1-1111-1-1-1-1111111-11-1-1-1-11111-1-1-1-1-1111-1-1-111-1-11111-1-11-1-1-1111-1-11-1-1111-1-111-1-1-1-1-111
χ13111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-111-1-1-1-1111-1111-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1-111-1-111-11-1
χ14111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-111-1-1-1-1111-11-1-1-1-111111111-1111-1-11-11-1-1-111-1-1-1-1-111-1-11-11
χ15111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-11-1-1-1111-1-111-1-1-1-1111-1-1-111-111-111-1-1-111-1-111-1-1-111
χ16111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-111-11111-1-1111-1-1
χ17222222-2-222222222-222222-2-2-2-2-2-22200002-200-2-222-2-2200-2-20022000000-2-200000000200000-200000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-200002-200-2-222-2-2-2002200-2-20000002200000000-200000200000000000
χ19222222-2-22222222-22222-2-222-2-2-2-2220000-2200-2-2-2-222-200-2200220000002200000000-200000-200000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2-2-20000-2200-2-2-2-2222002-200-2-2000000-2-200000000200000200000000000
χ2122222-1222-122-1-1-122-1-1-122-1-12-1-122222-1-1-12-1-1-1-1-1-1-1-12222200-1-100-1-1-1-1-1-122-1-1-1-102-100000-1-1-1000000000
χ2222222-1222-122-1-1-122-1-1-122-1-12-1-1222-2-211-1211-1-1-1-1-1-12-2-22200-1-1001111-1-1-2-211110-2-100000-111000000000
χ2322222-1222-122-1-1-122-1-1-122-1-12-1-12-2-222-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-200110011111122-1-1-1-10-2100000111000000000
χ2422222-1222-122-1-1-122-1-1-122-1-12-1-12-2-2-2-211-1211-1-1-1-1-1-1-222-2-2001100-1-1-1-111-2-21111021000001-1-1000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1-2-2112-1-12222-2-1-11-211-1-11111-2-2-22-200-1-100111111-22-1-11102100000-1-1-1000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1-2-2112-1-1222-22111-2-1-1-1-11111-2222-200-1-100-1-1-1-1112-211-1-10-2100000-111000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-2112-1-12-2-22-2-1-11-211-1-11111222-22001100-1-1-1-1-1-1-22-1-1110-2-100000111000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-2112-1-12-2-2-22111-2-1-1-1-111112-2-2-220011001111-1-12-211-1-102-1000001-1-1000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-12211-211-22200−i3i3-1-2−i3i311-1-111200-2-200-1-100−i3−i3i3i31100−i3i3−i3i300-1000001−i3i3000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-12211-211-22200i3−i3-1-2i3−i311-1-111200-2-200-1-100i3i3−i3−i31100i3−i3i3−i300-1000001i3−i3000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-12211-211-2-2-200−i3i3-1-2−i3i311-1-111-20022001100i3i3−i3−i3-1-100−i3i3−i3i300100000-1i3−i3000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-12211-211-2-2-200i3−i3-1-2i3−i311-1-111-20022001100−i3−i3i3i3-1-100i3−i3i3−i300100000-1−i3i3000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-1-2-2-1-1-211-22200−i3i312i3−i31111-1-1-200-2200-1-100i3i3−i3−i3-1-100−i3i3i3−i3001000001−i3i3000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-1-2-2-1-1-211-22200i3−i312−i3i31111-1-1-200-2200-1-100−i3−i3i3i3-1-100i3−i3−i3i3001000001i3−i3000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-1-2-2-1-1-211-2-2-200−i3i312i3−i31111-1-12002-2001100−i3−i3i3i31100−i3i3i3−i300-100000-1i3−i3000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-1-2-2-1-1-211-2-2-200i3−i312−i3i31111-1-12002-2001100i3i3−i3−i31100i3−i3−i3i300-100000-1−i3i3000000000
χ372222-1222-12-1-122-122-1-1-1-1-122-122-10022222-122-1-1-1-1-1-100000220022000000-1-1-1-1-1-12002-1-1-1-1000-1-1-1-100000
χ382222-1222-12-1-122-122-1-1-1-1-122-122-10022222-122-1-1-1-1-1-100000-2-200-2-2000000-1-1-1-1-1-1-200-21111000111100000
χ392222-1222-12-1-122-122-1-1-1-1-122-122-100-2-2-2-22-1-2-2-1-1-1-1-1-1000002200-2-2000000111111200-2-1-1-1-1000111100000
χ402222-1222-12-1-122-122-1-1-1-1-122-122-100-2-2-2-22-1-2-2-1-1-1-1-1-100000-2-20022000000111111-20021111000-1-1-1-100000
χ412222-1222-12-1-122-1-2-2-1-1-111-2-2-122-1002-222-21-2-2-1-11111000002200-2-20000001-1-1-111-2002-1-111000-1-11100000
χ422222-1222-12-1-122-1-2-2-1-1-111-2-2-122-1002-222-21-2-2-1-1111100000-2-200220000001-1-1-111200-211-1-100011-1-100000
χ432222-1222-12-1-122-1-2-2-1-1-111-2-2-122-100-22-2-2-2122-1-1111100000220022000000-1111-1-1-200-2-1-11100011-1-100000
χ442222-1222-12-1-122-1-2-2-1-1-111-2-2-122-100-22-2-2-2122-1-1111100000-2-200-2-2000000-1111-1-1200211-1-1000-1-11100000
χ452-2-22222-2-2-22-2-222002-2-2000022-2-200000000002-2000002i−2i002-200002i−2i2i−2i0000000000002-20000000002i−2i000
χ462-2-22222-2-2-22-2-222002-2-2000022-2-200000000002-2000002i−2i00-2200002i−2i2i−2i000000000000-22000000000−2i2i000
χ472-2-22222-2-2-22-2-222002-2-2000022-2-200000000002-200000−2i2i002-20000−2i2i−2i2i0000000000002-2000000000−2i2i000
χ482-2-22222-2-2-22-2-222002-2-2000022-2-200000000002-200000−2i2i00-220000−2i2i−2i2i000000000000-220000000002i−2i000
χ494444-24-4-4-24-2-244-24-4-2-2-2-2-2-4-42-4-42000000420022-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-222442-4-42000000-4-2002222-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-422-2-2221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-2004-4-2-2222211-1-1-1-1000000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-200-442222-2-211-1-1-1-100000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000−2i32i3-22−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200002i3−2i3-222i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122-2-222220000−2i32i32-22i3−2i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122-2-2222200002i3−2i32-2−2i32i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-4-4-44-4400-44-4000000004-40000000000000000000004-40000000000000000000000000000000000
χ6044-4-444004-4-4-44-4400-44-400000000-44000000000000000000000-440000000000000000000000000000000000
χ6144-4-44-20042-4-4-22-2002-220023−2300004-400000000000023−230000000-2200000023−2300000000000000000000000000
χ6244-4-44-20042-4-4-22-2002-220023−230000-4400000000000023−2300000002-2000000−232300000000000000000000000000
χ6344-4-44-20042-4-4-22-2002-2200−232300004-4000000000000−23230000000-22000000−232300000000000000000000000000
χ6444-4-44-20042-4-4-22-2002-2200−23230000-44000000000000−232300000002-200000023−2300000000000000000000000000
χ654-44-44400-44-44-4-4400-4-4400000000000000000000000000000000022−22000000000000000000000000022−2200000
χ664-44-44400-44-44-4-4400-4-44000000000000000000000000000000000−22220000000000000000000000000−222200000
χ674-44-4-2400242-2-4-4-20022-223−2300000000000000000023−230000000000022−22000000000000000000000006−6−2200000
χ684-44-4-2400242-2-4-4-20022-223−2300000000000000000023−2300000000000−222200000000000000000000000−662−200000
χ694-44-4-2400242-2-4-4-20022-2−2323000000000000000000−23230000000000022−2200000000000000000000000−66−2200000
χ704-44-4-2400242-2-4-4-20022-2−2323000000000000000000−232300000000000−2222000000000000000000000006−62−200000
χ714-4-4444-44-4-44-4-444004-4-40000-4-4440000000000-4400000000000000000000000000000000000000000000000
χ724-4-444-24-4-424-42-2-200-22200004-22-40000000000-22000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ734-4-444-24-4-424-42-2-200-22200004-22-40000000000-2200000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ744-4-444-2-44-424-42-2-200-2220000-42-2400000000002-200000000000000023−23−23230000000000000000000000000000
χ754-4-444-2-44-424-42-2-200-2220000-42-2400000000002-2000000000000000−232323−230000000000000000000000000000
χ764-4-44-244-42-4-22-44-200-2220000-24-420000000000-220000000004-400000000000000000000-2200000000000000
χ774-4-44-244-42-4-22-44-200-2220000-24-420000000000-22000000000-44000000000000000000002-200000000000000
χ784-4-44-24-442-4-22-44-200-22200002-44-200000000002-200000000000000000000000000000000023−23000000000000
χ794-4-44-24-442-4-22-44-200-22200002-44-200000000002-2000000000000000000000000000000000−2323000000000000
χ8088-8-8-4800-4-8448-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4444-44200-22-20043−43000000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-44200-22-200−434300000000000000000023−230000000000000000000000000000000000000000000
χ838-88-88-400-8-4-8844-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444200-2-2243−43000000000000000000−2323000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444200-2-22−434300000000000000000023−23000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-444-42002-2-20000-4-44400000000002-200000000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-42002-2-2000044-4-40000000000-2200000000000000000000000000000000000000000000000

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