Finite Group Databasebeta

← Group #11895840

Character table — Group #11895840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666344666121212121212442466121212121212121212121244444881212121212121212666121212444812121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-11
χ41111111111111111111111111111-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-11-111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-1111-1-11111-1-1111111111-1-1-1-11-1-11-1-1-111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11111-11-1111-111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-11111-1-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1111-1-1-111-1-1-111111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1111-1-1-11-111-1111-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-111-1-1-1-1-1-111-111111111-1-11111-1-1-1111-1-11-1-1-1-1111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-111-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1111-11-11-1-1-11-1-111-1-1111-11-1
χ17222222-2-222222222-222222-2-2-2-2220000200-2-222-2-2-2-2-22-20000222200000000000000-200-2000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-20000200-2-222-2-2-2-22-220000-2-2-2-2000000000000002002000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-2220000-20022-2-222-2-2-2-220000-2-22200000000000000-2002000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-20000-20022-2-222-2-222-2000022-2-200000000000000200-2000000000000
χ2122222-12222-1-12-1-122-1-1-1-1-1-1-1222222-1-12-1-12-1-1-1-1-1-1-12222200-1-1-1-1-1-1-1-12-1-12-1-12000-1-1-1-1000000000000
χ2222222-12222-1-12-1-122-1-1-1-1-1-1-12222-2-2112112-1-1-1-1-1-1-1222-2-200-1-1-1-11111-211-211-2000-111-1000000000000
χ2322222-12222-1-12-1-122-1-1-1-1-1-1-122-2-222-1-12-1-12-1-1-1-1-1-1-1-2-2-2-2-200111111112-1-12-1-1-20001111000000000000
χ2422222-12222-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2112112-1-1-1-1-1-1-1-2-2-222001111-1-1-1-1-211-21120001-1-11000000000000
χ2522222-12222-1-12-1-1-2-2-1-1-111-1-122222-2-1-1-211-211111-1-12-2-2220011-1-1-1-1-1-12-1-1-211-2000-1111000000000000
χ2622222-12222-1-12-1-1-2-2-1-1-111-1-12222-2211-2-1-1-211111-1-12-2-2-2-20011-1-11111-2112-1-12000-1-1-11000000000000
χ2722222-12222-1-12-1-1-2-2-1-1-111-1-122-2-22-2-1-1-211-211111-1-1-222-2-200-1-11111112-1-1-21120001-1-1-1000000000000
χ2822222-12222-1-12-1-1-2-2-1-1-111-1-122-2-2-2211-2-1-1-211111-1-1-2222200-1-111-1-1-1-1-2112-1-1-2000111-1000000000000
χ2922222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-22200−i3i32−i3i3-21-1-11111-22-20000-1-1-1-1−i3−i3i3i30−i3i30−i3i300001−i3i31000000000000
χ3022222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-22200i3−i32i3−i3-21-1-11111-22-20000-1-1-1-1i3i3−i3−i30i3−i30i3−i300001i3−i31000000000000
χ3122222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-2-2-200−i3i32−i3i3-21-1-111112-2200001111i3i3−i3−i30−i3i30−i3i30000-1i3−i3-1000000000000
χ3222222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-2-2-200i3−i32i3−i3-21-1-111112-2200001111−i3−i3i3i30i3−i30i3−i30000-1−i3i3-1000000000000
χ3322222-1-2-222-1-12-1-1-22-1-1-11111-2-22200−i3i3-2i3−i32-111-1-111-2-22000011-1-1−i3−i3i3i30−i3i30i3−i300001i3−i3-1000000000000
χ3422222-1-2-222-1-12-1-1-22-1-1-11111-2-22200i3−i3-2−i3i32-111-1-111-2-22000011-1-1i3i3−i3−i30i3−i30−i3i300001−i3i3-1000000000000
χ3522222-1-2-222-1-12-1-1-22-1-1-11111-2-2-2-200−i3i3-2i3−i32-111-1-11122-20000-1-111i3i3−i3−i30−i3i30i3−i30000-1−i3i31000000000000
χ3622222-1-2-222-1-12-1-1-22-1-1-11111-2-2-2-200i3−i3-2−i3i32-111-1-11122-20000-1-111−i3−i3i3i30i3−i30−i3i30000-1i3−i31000000000000
χ372222-1222-1-122-12-122-1-1-12222-1-1002222-122-12-1-1-1-1-1-1000002200000000-1-1-1-1-1-102220000-1-1-1-10000-1-100
χ382222-1222-1-122-12-122-1-1-12222-1-1002222-122-12-1-1-1-1-1-100000-2-200000000-1-1-1-1-1-10-2-2-20000111100001100
χ392222-1222-1-122-12-122-1-1-12222-1-100-2-2-2-2-1-2-2-12-1-1-1-1-1-10000022000000001111110-2-220000-1-1-1-100001100
χ402222-1222-1-122-12-122-1-1-12222-1-100-2-2-2-2-1-2-2-12-1-1-1-1-1-100000-2-200000000111111022-2000011110000-1-100
χ412222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-2221-2-21-21111-1-1000002200000000-1-1-111102-2-20000-1-1110000-1100
χ422222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-2221-2-21-21111-1-100000-2-200000000-1-1-11110-222000011-1-100001-100
χ432222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-22-2-21221-21111-1-1000002200000000111-1-1-10-22-20000-1-11100001-100
χ442222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-22-2-21221-21111-1-100000-2-200000000111-1-1-102-22000011-1-10000-1100
χ452-22-222-22-22-22-2-2200-2-22002-22-20000000000000002-20002i−2i2i−2i00002i−2i2i−2i000000000000002i−2i002-2000000
χ462-22-222-22-22-22-2-2200-2-22002-22-20000000000000002-20002i−2i−2i2i00002i−2i2i−2i00000000000000−2i2i00-22000000
χ472-22-222-22-22-22-2-2200-2-22002-22-20000000000000002-2000−2i2i2i−2i0000−2i2i−2i2i000000000000002i−2i00-22000000
χ482-22-222-22-22-22-2-2200-2-22002-22-20000000000000002-2000−2i2i−2i2i0000−2i2i−2i2i00000000000000−2i2i002-2000000
χ494444-24-4-4-2-244-24-24-4-2-2-244-4-422000000-2002-4-2-2222200000000000000000000000000000000000000000
χ504444-24-4-4-2-244-24-2-44-2-2-2-4-4-4-422000000200-2422-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-422-222-2-21111110000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-4-2-222222-1-1-1-111000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-44222-2-222-1-1-1-1110000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000−2i32i3-2−2i32i32211-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200002i3−2i3-22i3−2i32211-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-441112222220000−2i32i322i3−2i3-2-2-1-111-1-10000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222200002i3−2i32−2i32i3-2-2-1-111-1-10000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-44-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000022−220000
χ6044-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000000000000000000000−22220000
χ614-44-4444-4-44-44-4-4400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ624-44-44-24-4-442-2-42-20022-2002-2-440000000000000002-20000000000023−23−232300000000000000000000000000
χ634-44-44-24-4-442-2-42-20022-2002-2-440000000000000002-200000000000−232323−2300000000000000000000000000
χ644-44-44-2-44-442-2-42-20022-200-224-4000000000000000-220004i−4i000000−2i2i−2i2i00000000000000000000000000
χ654-44-44-2-44-442-2-42-20022-200-224-4000000000000000-22000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ664-44-4-244-42-2-442-4-20022-200-442-20000000000000002-2000000000000000000000000000000023−2300000000
χ674-44-4-244-42-2-442-4-20022-200-442-20000000000000002-20000000000000000000000000000000−232300000000
χ684-44-4-24-442-2-442-4-20022-2004-4-22000000000000000-22000004i−4i0000000000000000000000−2i2i0000000000
χ694-44-4-24-442-2-442-4-20022-2004-4-22000000000000000-2200000−4i4i00000000000000000000002i−2i0000000000
χ704-4-444400-4-4-4-444400-44-40000004-40000000000000000000000004-4000000000000000000000000000000
χ714-4-444400-4-4-4-444400-44-4000000-44000000000000000000000000-44000000000000000000000000000000
χ724-4-444-200-4-4224-2-2002-2223−2300004-400000000023−230000000000023−23-22000000000000000000000000000000
χ734-4-444-200-4-4224-2-2002-2223−230000-4400000000023−2300000000000−23232-2000000000000000000000000000000
χ744-4-444-200-4-4224-2-2002-22−232300004-4000000000−232300000000000−2323-22000000000000000000000000000000
χ754-4-444-200-4-4224-2-2002-22−23230000-44000000000−23230000000000023−232-2000000000000000000000000000000
χ7688-8-88-4008-8-44-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-448-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44442002-2-200000000000000000006i−6i0000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44442002-2-20000000000000000000−6i6i0000000000000000000000000000000000000000000
χ808-88-8-4-48-84-44-444200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ818-88-8-4-4-884-44-444200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000
χ828-8-88-480044-8-8-48-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-243−43000000000000000−2323000000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-2−434300000000000000023−23000000000000000000000000000000000000000000000

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