Finite Group Databasebeta

← Group #11884322

Character table — Group #11884322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121244246612121212121212121212222222466666688121266612121244666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11111111-1-1111111111-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1111-11-1-111-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-11111-1-111-1
χ9111111111111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-11-1111111-1-1-111-1-1-1-11-11
χ10111111111111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-11111-1-1-11111-11-1
χ11111111111111111-1-11111-1-1-1-111111-11-1-1-1-111-1-1-1-1111-11111-1-1-111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-111111-1-1
χ12111111111111111-1-11111-1-1-1-111111-11-1-1-1-111-1-1-1-1111-111-1-1-1-1-11111-1-111-1-1-1111-11-1-111-1-111-111-1-1-1-1-111
χ13111111111111111-1-11111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-111-1111111111111-1-1-1-1111-1-1-1-1-111-11-1-1-1-1111-1-111-11-1
χ14111111111111111-1-11111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-111-1111-1-1111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-1-111-1-11-11
χ15111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-111-1-1-1-111-11-1-111111-1-1-1-111-1-1-1-1-11111-111-1-111-1-11-1-111-1-1-111
χ16111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-111-1-1-1-111-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111-1-1111-1-1
χ17222222-2-222222222-2222-222-2-2-2-2-22200002-20022-2-2-2-2-220000-222000000220000000000-200000-2000000000
χ18222222-2-222222222-2222-222-2-2-2-2-2-2-200002-20022-2-2-2-22-200002-2-2000000-2-200000000002000002000000000
χ19222222-2-22222222-22222-2-2-222-2-2-2220000-2200-2-222-2-2-2-200002-2-2000000220000000000-2000002000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-20000-2200-2-222-2-2220000-222000000-2-20000000000200000-2000000000
χ2122222-1222-122-1-1-122-1-1-12-1-122-1-122222-1-12-1-1-1-1-1-1-1-1-12222002-1-1-1-1-1-100-1-12-1-12-1-12000-10-1-100-1000000000
χ2222222-1222-122-1-1-122-1-1-12-1-122-1-1222-2-2112-111-1-1-1-1-1-122-2-2002-1-1111100-1-1-211-211-2000-101100-1000000000
χ2322222-1222-122-1-1-122-1-1-12-1-122-1-12-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-200-211111100112-1-12-1-1-20001011001000000000
χ2422222-1222-122-1-1-122-1-1-12-1-122-1-12-2-2-2-2112-111-1-1-1-1-1-1-2-22200-211-1-1-1-10011-211-211200010-1-1001000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1211-2-2-1-12222-2-1-1-21111111-1-12-2-2-200-211111100-1-12-1-1-2112000-10-1-1001000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1211-2-2-1-1222-2211-21-1-11111-1-12-22200-211-1-1-1-100-1-1-2112-1-1-2000-1011001000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1211-2-2-1-12-2-22-2-1-1-21111111-1-1-2222002-1-1-1-1-1-100112-1-1-211-2000101100-1000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1211-2-2-1-12-2-2-2211-21-1-11111-1-1-22-2-2002-1-111110011-2112-1-1200010-1-100-1000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-1-2-1-1-2-211-22200−i3i321−i3i3-1-11111-220000-2-1-1−i3−i3i3i300-1-10−i3i30−i3i3000010−i3i3001000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-1-2-1-1-2-211-22200i3−i321i3−i3-1-11111-220000-2-1-1i3i3−i3−i300-1-10i3−i30i3−i3000010i3−i3001000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-1-2-1-1-2-211-2-2-200−i3i321−i3i3-1-111112-20000211i3i3−i3−i300110−i3i30−i3i30000-10i3−i300-1000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-1-2-1-1-2-211-2-2-200i3−i321i3−i3-1-111112-20000211−i3−i3i3i300110i3−i30i3−i30000-10−i3i300-1000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-1-2112211-22200−i3i3-2-1i3−i311-1-111-2-20000211i3i3−i3−i300-1-10−i3i30i3−i3000010−i3i300-1000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-1-2112211-22200i3−i3-2-1−i3i311-1-111-2-20000211−i3−i3i3i300-1-10i3−i30−i3i3000010i3−i300-1000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-1-2112211-2-2-200−i3i3-2-1i3−i311-1-111220000-2-1-1−i3−i3i3i300110−i3i30i3−i30000-10i3−i3001000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-1-2112211-2-2-200i3−i3-2-1−i3i311-1-111220000-2-1-1i3i3−i3−i300110i3−i30−i3i30000-10−i3i3001000000000
χ372222-1222-12-1-122-122-1-1-1-122-1-122-1002222-1222-1-1-1-1-1-100002200000002200-1-1-1-1-1-102-1-10200-1-10-1-1-1-100000
χ382222-1222-12-1-122-122-1-1-1-122-1-122-1002222-1222-1-1-1-1-1-10000-2-20000000-2-200-1-1-1-1-1-10-2110-200110111100000
χ392222-1222-12-1-122-122-1-1-1-122-1-122-100-2-2-2-2-12-2-2-1-1-1-1-1-10000220000000-2-20011111102-1-10-200-1-10111100000
χ402222-1222-12-1-122-122-1-1-1-122-1-122-100-2-2-2-2-12-2-2-1-1-1-1-1-10000-2-2000000022001111110-2110200110-1-1-1-100000
χ412222-1222-12-1-122-1-2-2-1-1-1-1-2-21122-1002-2221-2-2-21111-1-10000220000000-2-200-1-1-11110-2-1-10200110-1-11100000
χ422222-1222-12-1-122-1-2-2-1-1-1-1-2-21122-1002-2221-2-2-21111-1-10000-2-200000002200-1-1-111102110-200-1-1011-1-100000
χ432222-1222-12-1-122-1-2-2-1-1-1-1-2-21122-100-22-2-21-2221111-1-100002200000002200111-1-1-10-2-1-10-20011011-1-100000
χ442222-1222-12-1-122-1-2-2-1-1-1-1-2-21122-100-22-2-21-2221111-1-10000-2-20000000-2-200111-1-1-102110200-1-10-1-11100000
χ452-2-2222-22-2-22-2-22200-2-22-200002-22000000000000002-2002-22-20002-22-20000000000002-2000000000002-2000
χ462-2-2222-22-2-22-2-22200-2-22-200002-22000000000000002-2002-2-220002-22-2000000000000-2200000000000-22000
χ472-2-2222-22-2-22-2-22200-2-22-200002-22000000000000002-200-222-2000-22-220000000000002-200000000000-22000
χ482-2-2222-22-2-22-2-22200-2-22-200002-22000000000000002-200-22-22000-22-22000000000000-22000000000002-2000
χ494444-24-4-4-24-2-244-24-4-2-2-224422-4-42000000-2-400-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-22-4-4-2-2-4-42000000240022-2-2220000000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-2004-4-2-22222-1-1-1-11100000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-200-442222-2-2-1-1-1-111000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000−2i32i3-22−2i32i311-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112-2-22222200002i3−2i3-222i3−2i311-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-22220000−2i32i32-22i3−2i3-1-111-1-1000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002i3−2i32-2−2i32i3-1-111-1-1000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-4-4-44-44004-4-40000000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000
χ6044-4-444004-4-4-44-44004-4-400000000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000
χ6144-4-4-2400-2-4224-4-200-22200023−2300000000000000023−23000000000000000−2i22i20000000000000000000i6−i6i2−i200000
χ6244-4-4-2400-2-4224-4-200-22200023−2300000000000000023−230000000000000002i2−2i20000000000000000000−i6i6−i2i200000
χ6344-4-4-2400-2-4224-4-200-222000−2323000000000000000−2323000000000000000−2i22i20000000000000000000−i6i6i2−i200000
χ6444-4-4-2400-2-4224-4-200-222000−2323000000000000000−23230000000000000002i2−2i20000000000000000000i6−i6−i2i200000
χ654-44-44400-44-44-4-4400-44-4000000004i−4i000000000000000000000000000004i−4i00000000000000000000000000
χ664-44-44400-44-44-4-4400-44-400000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000000
χ674-44-44-200-4-2-4422-2002-22023−23000004i−4i0000000023−2300000000000−2i32i3000000−2i2i00000000000000000000000000
χ684-44-44-200-4-2-4422-2002-22023−2300000−4i4i0000000023−23000000000002i3−2i30000002i−2i00000000000000000000000000
χ694-44-44-200-4-2-4422-2002-220−2323000004i−4i00000000−2323000000000002i3−2i3000000−2i2i00000000000000000000000000
χ704-44-44-200-4-2-4422-2002-220−232300000−4i4i00000000−232300000000000−2i32i30000002i−2i00000000000000000000000000
χ714-4-44444-4-4-44-4-44400-4-4440000-44-400000000000000-440000000000000000000000000000000000000000000
χ724-4-444-24-4-424-42-2-20022-2400002-2-4000000000000002-2000000000−2i32i32i3−2i3000000000000000000000000000000
χ734-4-444-24-4-424-42-2-20022-2400002-2-4000000000000002-20000000002i3−2i3−2i32i3000000000000000000000000000000
χ744-4-444-2-44-424-42-2-20022-2-40000-22400000000000000-22004-400000-22-22000000000000000000000000000000
χ754-4-444-2-44-424-42-2-20022-2-40000-22400000000000000-2200-44000002-22-2000000000000000000000000000000
χ764-4-44-244-42-4-22-44-20022-2-20000-442000000000000002-2000000000000000000000000000000023−230000000000
χ774-4-44-244-42-4-22-44-20022-2-20000-442000000000000002-20000000000000000000000000000000−23230000000000
χ784-4-44-24-442-4-22-44-20022-2200004-4-200000000000000-2200004-40000000000000000000-220000000000000000
χ794-4-44-24-442-4-22-44-20022-2200004-4-200000000000000-220000-4400000000000000000002-20000000000000000
χ8088-8-88-40084-8-8-44-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4444-442002-2-200043−43000000000000000−2323000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-442002-2-2000−434300000000000000023−23000000000000000000000000000000000000000000000
χ838-88-8-4800484-4-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444200-22-2043−43000000000000000−232300000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444200-22-20−434300000000000000023−2300000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-444-4200-2-22-400004-4400000000000000-220000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-2-2240000-44-4000000000000002-20000000000000000000000000000000000000000000

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