Finite Group Databasebeta

← Group #11896044

Character table — Group #11896044

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121244246612121212121212121212444444488121212121212121266612121244812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-1111111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-11-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-111-111-1-111-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-11-1-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-11-1-11111111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-1-1-111-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-1-1-11111111-111-1-1-1-1-1-1-1-111-111111-111-1-1111111111-1-1-1-1-1-11-1-1-1-111-111-1-1111-1-1
χ10111111111111111-1-1111-1-1-1-11111111-111-1-1-1-1-1-1-1-111-111-1-11-1-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-111
χ11111111111111111-1-1111-1-1-1-1111111-11-1-1-111-1-1-1-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-111-1-11111-1-1-111-1-11-11
χ12111111111111111-1-1111-1-1-1-1111111-11-1-1-111-1-1-1-1-111-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111111-111111-1-1-111-1-111-11-1
χ13111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-1111-1-111-111111-1-1-1-1-1-1111-1-1-11-1-1-1-1-11111111-1-1-1-1-111
χ14111111111111111-1-1111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1111-11111-1-11-1-111111-1-1
χ15111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-111-1-1-1-1-11111111-11-1-111-1-11111-1-1-1111-1-11-1-1-1-1-1111-1-11111-11-1
χ16111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-111-1-1-1-1-111111-1-1-111111-1-11111-1-1-1111-11-1-111-1-1-1-1111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-2220000-200222-2-2-2-220000-2-200-2-2220000000000000-20000002000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20000-200222-2-2-2-2-20000220022-2-200000000000002000000-2000000000
χ19222222-2-22222222-22222-2-222-2-2-2-2220000200-2-2-222-2-2-20000-220022220000000000000-2000000-2000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2-2-20000200-2-2-222-2-2200002-200-2-2-2-2000000000000020000002000000000
χ2122222-12222-12-1-1-122-1-1-122-1-12-1-122222-1-12-1-1-1-1-1-1-1-1-1222002200-1-1-1-1-1-1-1-12-1-12-1-1200-100-1-100-1000000000
χ2222222-12222-12-1-1-122-1-1-122-1-12-1-1222-2-211211-1-1-1-1-1-1-12-2-2002200-1-1-1-11111-211-211-200-1001100-1000000000
χ2322222-12222-12-1-1-122-1-1-122-1-12-1-12-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-200-2-200111111112-1-12-1-1-20010011001000000000
χ2422222-12222-12-1-1-122-1-1-122-1-12-1-12-2-2-2-211211-1-1-1-1-1-1-1-22200-2-2001111-1-1-1-1-211-211200100-1-1001000000000
χ2522222-12222-12-1-1-1-2-2-1-1-1-2-2112-1-12222-2-1-1-21111111-1-1-222002-20011-1-1-1-1-1-12-1-1-211-200-10011001000000000
χ2622222-12222-12-1-1-1-2-2-1-1-1-2-2112-1-1222-2211-2-1-111111-1-1-2-2-2002-20011-1-11111-2112-1-1200-100-1-1001000000000
χ2722222-12222-12-1-1-1-2-2-1-1-1-2-2112-1-12-2-22-2-1-1-21111111-1-12-2-200-2200-1-11111112-1-1-211200100-1-100-1000000000
χ2822222-12222-12-1-1-1-2-2-1-1-1-2-2112-1-12-2-2-2211-2-1-111111-1-122200-2200-1-111-1-1-1-1-2112-1-1-2001001100-1000000000
χ2922222-1-2-222-12-1-1-12-2-1-1-12211-211-22200−i3i3-2−i3i3-1-1-1111120000-2-20011-1-1−i3−i3i3i30−i3i30−i3i3000100−i3i300-1000000000
χ3022222-1-2-222-12-1-1-12-2-1-1-12211-211-22200i3−i3-2i3−i3-1-1-1111120000-2-20011-1-1i3i3−i3−i30i3−i30i3−i3000100i3−i300-1000000000
χ3122222-1-2-222-12-1-1-12-2-1-1-12211-211-2-2-200−i3i3-2−i3i3-1-1-11111-200002200-1-111i3i3−i3−i30−i3i30−i3i3000-100i3−i3001000000000
χ3222222-1-2-222-12-1-1-12-2-1-1-12211-211-2-2-200i3−i3-2i3−i3-1-1-11111-200002200-1-111−i3−i3i3i30i3−i30i3−i3000-100−i3i3001000000000
χ3322222-1-2-222-12-1-1-1-22-1-1-1-2-2-1-1-211-22200−i3i32i3−i3111-1-111-20000-2200-1-1-1-1−i3−i3i3i30−i3i30i3−i3000100i3−i3001000000000
χ3422222-1-2-222-12-1-1-1-22-1-1-1-2-2-1-1-211-22200i3−i32−i3i3111-1-111-20000-2200-1-1-1-1i3i3−i3−i30i3−i30−i3i3000100−i3i3001000000000
χ3522222-1-2-222-12-1-1-1-22-1-1-1-2-2-1-1-211-2-2-200−i3i32i3−i3111-1-111200002-2001111i3i3−i3−i30−i3i30i3−i3000-100−i3i300-1000000000
χ3622222-1-2-222-12-1-1-1-22-1-1-1-2-2-1-1-211-2-2-200i3−i32−i3i3111-1-111200002-2001111−i3−i3i3i30i3−i30−i3i3000-100i3−i300-1000000000
χ372222-1222-1-12-122-122-1-1-1-1-122-122-1002222-1222-1-1-1-1-1-100022002200000000-1-1-1-1-1-10220-1-100-1-10-1-1-1-100000
χ382222-1222-1-12-122-122-1-1-1-1-122-122-1002222-1222-1-1-1-1-1-1000-2-200-2-200000000-1-1-1-1-1-10-2-201100110111100000
χ392222-1222-1-12-122-122-1-1-1-1-122-122-100-2-2-2-2-1-2-22-1-1-1-1-1-10002200-2-20000000011111102-20-1-100-1-10111100000
χ402222-1222-1-12-122-122-1-1-1-1-122-122-100-2-2-2-2-1-2-22-1-1-1-1-1-1000-2-20022000000001111110-2201100110-1-1-1-100000
χ412222-1222-1-12-122-1-2-2-1-1-111-2-2-122-1002-2221-2-2-21111-1-100022002200000000-1-1-11110-2-201100-1-10-1-11100000
χ422222-1222-1-12-122-1-2-2-1-1-111-2-2-122-1002-2221-2-2-21111-1-1000-2-200-2-200000000-1-1-11110220-1-10011011-1-100000
χ432222-1222-1-12-122-1-2-2-1-1-111-2-2-122-100-22-2-2122-21111-1-10002200-2-200000000111-1-1-10-2201100-1-1011-1-100000
χ442222-1222-1-12-122-1-2-2-1-1-111-2-2-122-100-22-2-2122-21111-1-1000-2-2002200000000111-1-1-102-20-1-100110-1-11100000
χ452-22-222-22-2-2-222-2200-2-220000-22-22000000000000002-202i−2i2-2000000002i−2i2i−2i000000000000002-2000002i−2i000
χ462-22-222-22-2-2-222-2200-2-220000-22-22000000000000002-202i−2i-22000000002i−2i2i−2i00000000000000-2200000−2i2i000
χ472-22-222-22-2-2-222-2200-2-220000-22-22000000000000002-20−2i2i2-200000000−2i2i−2i2i000000000000002-200000−2i2i000
χ482-22-222-22-2-2-222-2200-2-220000-22-22000000000000002-20−2i2i-2200000000−2i2i−2i2i00000000000000-22000002i−2i000
χ494444-24-4-4-2-24-244-24-4-2-2-2-2-2-4-42-4-420000002004-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-44-2-2-222442-4-42000000-200-422-2-2220000000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-422-222-2111111000000000000000002-1-12-1-100000000000000000000
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
χ544444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-200-44222-2-22-1-1-1-111000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000−2i32i32−2i32i3-211-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200002i3−2i322i3−2i3-211-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122-2-222220000−2i32i3-22i3−2i32-1-111-1-1000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122-2-2222200002i3−2i3-2−2i32i32-1-111-1-1000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-4-4-4-444004-4-4000000004-400000000000000000000000004-4000000000000000000000000000000
χ6044-4-444004-4-4-4-444004-4-400000000-440000000000000000000000000-44000000000000000000000000000000
χ6144-4-44-2004-42-42-2-200-2220023−2300004-4000000000023−230000000000023−23-22000000000000000000000000000000
χ6244-4-44-2004-42-42-2-200-2220023−230000-44000000000023−2300000000000−23232-2000000000000000000000000000000
χ6344-4-44-2004-42-42-2-200-22200−232300004-40000000000−232300000000000−2323-22000000000000000000000000000000
χ6444-4-44-2004-42-42-2-200-22200−23230000-440000000000−23230000000000023−232-2000000000000000000000000000000
χ654-44-4444-4-4-4-444-4400-4-4400004-44-400000000000000-440000000000000000000000000000000000000000000
χ664-44-44-24-4-4-424-22-20022-2000042-2-4000000000000002-2000000000000023−23−232300000000000000000000000000
χ674-44-44-24-4-4-424-22-20022-2000042-2-4000000000000002-20000000000000−232323−2300000000000000000000000000
χ684-44-44-2-44-4-424-22-20022-20000-4-22400000000000000-2204i−4i0000000000−2i2i−2i2i00000000000000000000000000
χ694-44-44-2-44-4-424-22-20022-20000-4-22400000000000000-220−4i4i00000000002i−2i2i−2i00000000000000000000000000
χ704-44-4-244-422-4-24-4-20022-20000-2-442000000000000002-200000000000000000000000000023−2300000000000000
χ714-44-4-244-422-4-24-4-20022-20000-2-442000000000000002-2000000000000000000000000000−232300000000000000
χ724-44-4-24-4422-4-24-4-20022-2000024-4-200000000000000-220004-400000000000000000000000000-220000000000
χ734-44-4-24-4422-4-24-4-20022-2000024-4-200000000000000-22000-44000000000000000000000000002-20000000000
χ744-4-444400-444-4-4-4400-44-40000000000000000000000000000000−2i22i20000000000000000000000000−2i22i20000000
χ754-4-444400-444-4-4-4400-44-400000000000000000000000000000002i2−2i200000000000000000000000002i2−2i20000000
χ764-4-44-24002-242-4-4-2002-2223−23000000000000000023−2300000000000−2i22i20000000000000000000000000i2−i2i6−i600000
χ774-4-44-24002-242-4-4-2002-2223−23000000000000000023−23000000000002i2−2i20000000000000000000000000−i2i2−i6i600000
χ784-4-44-24002-242-4-4-2002-22−23230000000000000000−232300000000000−2i22i20000000000000000000000000i2−i2−i6i600000
χ794-4-44-24002-242-4-4-2002-22−23230000000000000000−2323000000000002i2−2i20000000000000000000000000−i2i2i6−i600000
χ8088-8-8-4800-44-84-88-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-42002-2-20043−430000000000000000−2323000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-42002-2-200−4343000000000000000023−23000000000000000000000000000000000000000000000
χ838-88-8-4-48-8444-4-44200-2-220000-44-4400000000000000-220000000000000000000000000000000000000000000
χ848-88-8-4-4-88444-4-44200-2-2200004-44-4000000000000002-20000000000000000000000000000000000000000000
χ858-8-888-400-88-4-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444200-22-243−430000000000000000−232300000000000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444200-22-2−4343000000000000000023−2300000000000000000000000000000000000000000000000

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