Finite Group Databasebeta

← Group #11889763

Character table — Group #11889763

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212122224661212121212121212121222244446666668812126661212124468121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111-1-111111111-111-111-1-11-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-11111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-111-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-11-1-111-1111111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111-1-1111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-1-1-11111111-111-1-1-1-1-1-1-1-111-1111-11111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1
χ10111111111111111-1-1111-1-1-1-11111111-111-1-1-1-1-1-1-1-111-1111-1-1-1111111-1-1-1-1111-1-1-11-1-11-1-1-1-1111-1-111-1-1-111
χ11111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-111-1-11-11
χ12111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1-1-1-111-1-1-1-1-111111-1-111-1-111111-1-111-11-1
χ13111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-11111-1-1-111-1-1-1-1-111
χ14111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-111-1-111111-1-1
χ15111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-111111-1111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1-1-11111-11-1
χ16111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-111111-11-1-1-1-111111111-1-1-11111-11-1-1-1-1-1-11111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-22200002-20022-2-2-2-2200-2-20022000000-2-200000000200000-200000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-200002-20022-2-2-2-2-2002200-2-20000002200000000-200000200000000000
χ19222222-2-22222222-22222-2-222-2-2-2-2220000-2200-2-222-2-2-200-2200220000002200000000-200000-200000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2-2-20000-2200-2-222-2-22002-200-2-2000000-2-200000000200000200000000000
χ2122222-1222-12-12-1-122-1-1-122-1-12-1-122222-1-1-12-1-1-1-1-1-1-1-12222200-1-1-1-1-1-100-1-12-1-12-1-102-10-1-100-100000000000
χ2222222-1222-12-12-1-122-1-1-122-1-12-1-1222-2-211-1211-1-1-1-1-1-12-2-22200-1-1111100-1-1-211-2110-2-101100-100000000000
χ2322222-1222-12-12-1-122-1-1-122-1-12-1-12-2-222-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-20011111100112-1-12-1-10-2101100100000000000
χ2422222-1222-12-12-1-122-1-1-122-1-12-1-12-2-2-2-211-1211-1-1-1-1-1-1-222-2-20011-1-1-1-10011-211-2110210-1-100100000000000
χ2522222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12222-2-1-11-2111111-1-1-2222-200-1-1-1-1-1-100112-1-1-2110-2101100-100000000000
χ2622222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-1222-22111-2-1-11111-1-1-2-2-22-200-1-111110011-2112-1-10210-1-100-100000000000
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12-2-22-2-1-11-2111111-1-12-2-2-220011111100-1-12-1-1-21102-10-1-100100000000000
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12-2-2-22111-2-1-11111-1-1222-220011-1-1-1-100-1-1-2112-1-10-2-101100100000000000
χ2922222-1-2-22-12-12-1-12-2-1-1-12211-211-22200−i3i3-1-2−i3i3-1-11111200-2-200-1-1−i3−i3i3i300110−i3i30−i3i300-10−i3i300100000000000
χ3022222-1-2-22-12-12-1-12-2-1-1-12211-211-22200i3−i3-1-2i3−i3-1-11111200-2-200-1-1i3i3−i3−i300110i3−i30i3−i300-10i3−i300100000000000
χ3122222-1-2-22-12-12-1-12-2-1-1-12211-211-2-2-200−i3i3-1-2−i3i3-1-11111-200220011i3i3−i3−i300-1-10−i3i30−i3i30010i3−i300-100000000000
χ3222222-1-2-22-12-12-1-12-2-1-1-12211-211-2-2-200i3−i3-1-2i3−i3-1-11111-200220011−i3−i3i3i300-1-10i3−i30i3−i30010−i3i300-100000000000
χ3322222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-22200−i3i312i3−i311-1-111-200-2200-1-1−i3−i3i3i300-1-10−i3i30i3−i30010i3−i300100000000000
χ3422222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-22200i3−i312−i3i311-1-111-200-2200-1-1i3i3−i3−i300-1-10i3−i30−i3i30010−i3i300100000000000
χ3522222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2-2-200−i3i312i3−i311-1-1112002-20011i3i3−i3−i300110−i3i30i3−i300-10−i3i300-100000000000
χ3622222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2-2-200i3−i312−i3i311-1-1112002-20011−i3−i3i3i300110i3−i30−i3i300-10i3−i300-100000000000
χ372222-1222-12-12-12-122-1-1-1-1-122-122-10022222-122-1-1-1-1-1-100000220000002200-1-1-1-1-1-1200200-1-10-1-1-1-1-1-100000
χ382222-1222-12-12-12-122-1-1-1-1-122-122-10022222-122-1-1-1-1-1-100000-2-2000000-2-200-1-1-1-1-1-1-200-20011011111100000
χ392222-1222-12-12-12-122-1-1-1-1-122-122-100-2-2-2-22-1-2-2-1-1-1-1-1-10000022000000-2-200111111200-200-1-10-1-1111100000
χ402222-1222-12-12-12-122-1-1-1-1-122-122-100-2-2-2-22-1-2-2-1-1-1-1-1-100000-2-20000002200111111-20020011011-1-1-1-100000
χ412222-1222-12-12-12-1-2-2-1-1-111-2-2-122-1002-222-21-2-21111-1-100000220000002200-1-1-1111-200-200-1-1011-1-11100000
χ422222-1222-12-12-12-1-2-2-1-1-111-2-2-122-1002-222-21-2-21111-1-100000-2-2000000-2-200-1-1-1111200200110-1-111-1-100000
χ432222-1222-12-12-12-1-2-2-1-1-111-2-2-122-100-22-2-2-21221111-1-10000022000000-2-200111-1-1-1-200200-1-101111-1-100000
χ442222-1222-12-12-12-1-2-2-1-1-111-2-2-122-100-22-2-2-21221111-1-100000-2-20000002200111-1-1-1200-200110-1-1-1-11100000
χ452-22-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-202-2002i−2i002-22-200000000000000002i−2i00000002i−2i000
χ462-22-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-202-200−2i2i002-22-20000000000000000−2i2i0000000−2i2i000
χ472-22-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-20-22002i−2i00-22-2200000000000000002i−2i0000000−2i2i000
χ482-22-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-20-2200−2i2i00-22-220000000000000000−2i2i00000002i−2i000
χ494444-24-4-4-24-24-24-24-4-2-2-2-2-2-4-42-4-420000004200-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-2-44-2-2-222442-4-42000000-4-20022-2-2220000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-422-2-222111111000000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-2004-4-2-22222-1-1-1-11100000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-200-442222-2-2-1-1-1-111000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000−2i32i3-22−2i32i311-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200002i3−2i3-222i3−2i311-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122-2-222220000−2i32i32-22i3−2i3-1-111-1-1000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122-2-2222200002i3−2i32-2−2i32i3-1-111-1-1000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-4440044-4-4-4-44004-4-4000000004-40000000000000000000004-40000000000000000000000000000000000
χ6044-4-4440044-4-4-4-44004-4-400000000-44000000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-2-42-42-200-2220023−2300004-4000000000023−23000000000-2200000023−2300000000000000000000000000
χ6244-4-44-2004-2-42-42-200-2220023−230000-44000000000023−230000000002-2000000−232300000000000000000000000000
χ6344-4-44-2004-2-42-42-200-22200−232300004-40000000000−2323000000000-22000000−232300000000000000000000000000
χ6444-4-44-2004-2-42-42-200-22200−23230000-440000000000−23230000000002-200000023−2300000000000000000000000000
χ654-44-444-44-4-4-4-444400-4-440000-4-44400000000000000-440000000000000000000000000000000000000000000
χ664-44-44-24-4-42-424-2-20022-200004-22-400000000000000-2204-4000000-22-22000000000000000000000000000000
χ674-44-44-24-4-42-424-2-20022-200004-22-400000000000000-220-440000002-22-2000000000000000000000000000000
χ684-44-44-2-44-42-424-2-20022-20000-42-24000000000000002-2000000000−2i32i32i3−2i3000000000000000000000000000000
χ694-44-44-2-44-42-424-2-20022-20000-42-24000000000000002-20000000002i3−2i3−2i32i3000000000000000000000000000000
χ704-44-4-244-42-42-4-24-20022-20000-24-4200000000000000-22000004i−4i0000000000000000000000−2i2i000000000000
χ714-44-4-244-42-42-4-24-20022-20000-24-4200000000000000-2200000−4i4i00000000000000000000002i−2i000000000000
χ724-44-4-24-442-42-4-24-20022-200002-44-2000000000000002-200000000000000000000000000000000−2i32i3000000000
χ734-44-4-24-442-42-4-24-20022-200002-44-2000000000000002-2000000000000000000000000000000002i3−2i3000000000
χ744-4-444400-4-444-4-4400-44-4000000000000000000000000000000000000022−22000000000000000000022−220000000
χ754-4-444400-4-444-4-4400-44-40000000000000000000000000000000000000−22220000000000000000000−22220000000
χ764-4-44-24002-4-242-4-2002-2223−23000000000000000023−230000000000000000022−220000000000000000000−226−600000
χ774-4-44-24002-4-242-4-2002-2223−23000000000000000023−2300000000000000000−222200000000000000000002−2−6600000
χ784-4-44-24002-4-242-4-2002-22−23230000000000000000−23230000000000000000022−220000000000000000000−22−6600000
χ794-4-44-24002-4-242-4-2002-22−23230000000000000000−232300000000000000000−222200000000000000000002−26−600000
χ8088-8-8-4800-484-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-20043−430000000000000000−2323000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-200−4343000000000000000023−23000000000000000000000000000000000000000000000
χ838-88-8-4-48-84444-4-4200-2-220000-4-444000000000000002-20000000000000000000000000000000000000000000
χ848-88-8-4-4-884444-4-4200-2-22000044-4-400000000000000-220000000000000000000000000000000000000000000
χ858-8-888-400-848-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-444200-22-243−430000000000000000−232300000000000000000000000000000000000000000000000
χ878-8-88-4-40044-4-444200-22-2−4343000000000000000023−2300000000000000000000000000000000000000000000000

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