Finite Group Databasebeta

← Group #11889125

Character table — Group #11889125

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121222441212121212121212121212122224444668812121212121212121212121244666812121212122424242488228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-11111111111111-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-11-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11-1-11-1-11111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-111111-1-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-11-1-11-1-1111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111-111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-11-1-11-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1111111-1-111-1
χ9111111111111111-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11-111-1-11-1-1111-1-111111-1-1-1-11-11
χ10111111111111111-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-111111-1-11111-11-1
χ11111111111111111-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1111-11111111111-1-1-11-1-111-1-1-111-1-1-11-1-1-1-111111-1-1
χ12111111111111111-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-1-11-11111-1-11111-1-1-11-1-111-11-1-1-11111-1-111-1-1-1-1-111
χ13111111111111111-1-11111-1-1-1-1111-1-11-1-111-1-1-111-1-1-1-1111-1111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-111-1-111-11-1
χ14111111111111111-1-11111-1-1-1-1111-1-11-1-111-1-1-111-1-1-1-11-1-1-1111-1-1111111111-111-1-1-111-1-1-111-1-1-1-1-111-1-11-11
χ15111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1111-11-1-1-1-111-1-1-1-111-11-1-1111-1111-1-1-1-111-1-111-1-1-111
χ16111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111-11-1-111111-1-1111-11111-1-1111-1-1
χ17222222-2-222222222-2222-222-2-2-2-2-22200200-200-2-222-2-2-200-2200220000002200000000-200000-200000000000
χ18222222-2-222222222-2222-222-2-2-2-2-2-2-200200-200-2-222-2-22002-200-2-2000000-2-200000000200000200000000000
χ19222222-2-22222222-22222-2-2-222-2-2-22200-200200-2-2-2-222200-2-20022000000-2-200000000200000-200000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-200-200200-2-2-2-222-2002200-2-20000002200000000-200000200000000000
χ2122222-12222-12-1-1-122-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12002222-1-100-1-1-1-1-1-122-1-1-1-120-100000-1-1-1000000000
χ2222222-12222-12-1-1-122-1-1-12-1-122-1-1222-2-2211-111-1-1-1-1-1-120022-2-2-1-1001111-1-1-2-21111-20-100000-111000000000
χ2322222-12222-12-1-1-122-1-1-12-1-122-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2-2110011111122-1-1-1-1-20100000111000000000
χ2422222-12222-12-1-1-122-1-1-12-1-122-1-12-2-2-2-2211-111-1-1-1-1-1-1-200-2-2221100-1-1-1-111-2-21111201000001-1-1000000000
χ2522222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12222-2-2-1-1111-1-11111-2002-2-2-2-1-1001111112-2-1-11120100000-1-1-1000000000
χ2622222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-1222-22-2111-1-1-1-11111-2002-222-1-100-1-1-1-111-2211-1-1-20100000-111000000000
χ2722222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-22-2-2-1-1111-1-11111200-22221100-1-1-1-1-1-12-2-1-111-20-100000111000000000
χ2822222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-2-22-2111-1-1-1-11111200-22-2-211001111-1-1-2211-1-120-1000001-1-1000000000
χ2922222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-222002−i3i31−i3i311-1-111-200-2200-1-100−i3−i3i3i3-1-100−i3i3−i3i3001000001−i3i3000000000
χ3022222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-222002i3−i31i3−i311-1-111-200-2200-1-100i3i3−i3−i3-1-100i3−i3i3−i3001000001i3−i3000000000
χ3122222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-2002−i3i31−i3i311-1-1112002-2001100i3i3−i3−i31100−i3i3−i3i300-100000-1i3−i3000000000
χ3222222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-2002i3−i31i3−i311-1-1112002-2001100−i3−i3i3i31100i3−i3i3−i300-100000-1−i3i3000000000
χ3322222-1-2-222-12-1-1-1-22-1-1-1-2112211-22200-2−i3i3-1i3−i31111-1-1200-2-200-1-100i3i3−i3−i31100−i3i3i3−i300-1000001−i3i3000000000
χ3422222-1-2-222-12-1-1-1-22-1-1-1-2112211-22200-2i3−i3-1−i3i31111-1-1200-2-200-1-100−i3−i3i3i31100i3−i3−i3i300-1000001i3−i3000000000
χ3522222-1-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200-2−i3i3-1i3−i31111-1-1-20022001100−i3−i3i3i3-1-100−i3i3i3−i300100000-1i3−i3000000000
χ3622222-1-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200-2i3−i3-1−i3i31111-1-1-20022001100i3i3−i3−i3-1-100i3−i3−i3i300100000-1−i3i3000000000
χ372222-1222-1-12-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-102200000022000000-1-1-1-1-1-1020-1-12-1-1000-1-1-1-100000
χ382222-1222-1-12-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-10-2-2000000-2-2000000-1-1-1-1-1-10-2011-211000111100000
χ392222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-1-2-22-2-2-1-1-1-1-1-1022000000-2-2000000111111020-1-1-2-1-1000111100000
χ402222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-1-2-22-2-2-1-1-1-1-1-10-2-2000000220000001111110-2011211000-1-1-1-100000
χ412222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-1002-2122-2-2-2-1-11111022000000-2-2000000-11-1-1110-20-1-1211000-1-11100000
χ422222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-1002-2122-2-2-2-1-111110-2-200000022000000-11-1-11102011-2-1-100011-1-100000
χ432222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-100-221-2-2-222-1-11111022000000220000001-111-1-10-20-1-1-21100011-1-100000
χ442222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-100-221-2-2-222-1-111110-2-2000000-2-20000001-111-1-1020112-1-1000-1-11100000
χ452-22-2222-22-2-2-2-222002-2-2200002-2-200000000002-2000002-2002i−2i00002i−2i2i−2i000000000002-200000000002i−2i000
χ462-22-2222-22-2-2-2-222002-2-2200002-2-200000000002-2000002-200−2i2i0000−2i2i−2i2i000000000002-20000000000−2i2i000
χ472-22-2222-22-2-2-2-222002-2-2200002-2-200000000002-200000-22002i−2i00002i−2i2i−2i00000000000-220000000000−2i2i000
χ482-22-2222-22-2-2-2-222002-2-2200002-2-200000000002-200000-2200−2i2i0000−2i2i−2i2i00000000000-2200000000002i−2i000
χ494444-24-4-4-2-24-244-24-4-2-2-224422-4-420000-200-40022-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-44-2-2-22-4-4-2-2-4-4200002004002222-2-20000000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-4-222-2221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-2004-42-2-222211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-200-442222-2-211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000-2−2i32i32−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000-22i3−2i322i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002−2i32i3-22i3−2i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-2222000022i3−2i3-2−2i32i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-44400-444-4-4-4400-44-4000000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ6044-4-44400-444-4-4-4400-44-40000000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ6144-4-4-24002-242-4-4-2002-2200023−230000000000000000023−23000000000−2i22i200000000000000000000000i6−i6i2−i200000
χ6244-4-4-24002-242-4-4-2002-2200023−230000000000000000023−230000000002i2−2i200000000000000000000000−i6i6−i2i200000
χ6344-4-4-24002-242-4-4-2002-22000−232300000000000000000−2323000000000−2i22i200000000000000000000000−i6i6i2−i200000
χ6444-4-4-24002-242-4-4-2002-22000−232300000000000000000−23230000000002i2−2i200000000000000000000000i6−i6−i2i200000
χ654-44-444-444-4-4-4-444004-4-4-40000-4440000000000-4400000000000000000000000000000000000000000000000
χ664-44-44-24-44-42-42-2-200-22240000-22-40000000000-220000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ674-44-44-24-44-42-42-2-200-22240000-22-40000000000-22000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ684-44-44-2-444-42-42-2-200-222-400002-2400000000002-200000000000000023−23−23230000000000000000000000000000
χ694-44-44-2-444-42-42-2-200-222-400002-2400000000002-2000000000000000−232323−230000000000000000000000000000
χ704-44-4-244-4-22-42-44-200-222-200004-420000000000-22000004-400000000000000000000000-22000000000000000
χ714-44-4-244-4-22-42-44-200-222-200004-420000000000-2200000-44000000000000000000000002-2000000000000000
χ724-44-4-24-44-22-42-44-200-22220000-44-200000000002-200000000000000000000000000000000023−23000000000000
χ734-44-4-24-44-22-42-44-200-22220000-44-200000000002-2000000000000000000000000000000000−2323000000000000
χ744-4-444400-4-4-444-4400-4-44000000004-40000000000000000000004-40000000000000000000000000000000000
χ754-4-444400-4-4-444-4400-4-4400000000-44000000000000000000000-440000000000000000000000000000000000
χ764-4-444-200-4-424-22-20022-2023−23000004-4000000000023−23000000000-2200000023−2300000000000000000000000000
χ774-4-444-200-4-424-22-20022-2023−2300000-44000000000023−230000000002-2000000−232300000000000000000000000000
χ784-4-444-200-4-424-22-20022-20−2323000004-40000000000−2323000000000-22000000−232300000000000000000000000000
χ794-4-444-200-4-424-22-20022-20−232300000-440000000000−23230000000002-200000023−2300000000000000000000000000
χ8088-8-88-400-88-4-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-4444200-22-200043−4300000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-2000−43430000000000000000023−230000000000000000000000000000000000000000000
χ838-88-8-4-48-8-44444-42002-2-2-40000-44400000000002-200000000000000000000000000000000000000000000000
χ848-88-8-4-4-88-44444-42002-2-2400004-4-40000000000-2200000000000000000000000000000000000000000000000
χ858-8-88-480044-8-48-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-44200-2-22043−4300000000000000000−2323000000000000000000000000000000000000000000000
χ878-8-88-4-400444-4-44200-2-220−43430000000000000000023−23000000000000000000000000000000000000000000000

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