Finite Group Databasebeta

← Group #11895842

Character table — Group #11895842

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order122233446666663446661212121212121212442466121212121212121212122244444881212121212121212666121212446681212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111-1-1111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-11-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-11-1-11111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-111-1-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-11-1-1111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11-1-1-111-11111-1-111-1
χ9111111111111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-111111-1-11111-1-1111111111-1-1-1-1-111-11-1-1-1-1-111-1-1111-1-1
χ10111111111111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1111111111-1-1-1-11-1-11111-1-1-1-1-111-1-1-111
χ11111111111111111-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-11111-1-111-1-1-111-1-11-11
χ12111111111111111-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-1-111111-111-1-111-11-1
χ13111111111111111-1-11111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1111-1-1-11-111-1-1-1-111111-1-1-1-1-111
χ14111111111111111-1-11111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-11-111111-1-111111-1-1
χ15111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-111-1-1-1-1-11111-11111-1-111-1-11111-1-1-1111-1-1111-1-1-1-1-11-1-11111-11-1
χ16111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-111-1-1-1-1-111-1-1-111111111-1-11111-1-1-1111-11-1-1-1-111-1-1111-1-1-1-11-11
χ17222222-2-222222222-2222-222-2-2-2-2-2220000200-222-2-2-2-200-22-200002222000000000000000-20000-2000000000
χ18222222-2-222222222-2222-222-2-2-2-2-2-2-20000200-222-2-2-2-2002-220000-2-2-2-2000000000000000200002000000000
χ19222222-2-22222222-22222-2-2-222-2-2-2220000-2002-2-222-2-200-2-220000-2-222000000000000000-200002000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-20000-2002-2-222-2-20022-2000022-2-200000000000000020000-2000000000
χ2122222-122-1-12-122-122-1-1-1-122-1-122-1002222-1222-1-1-1-1-1-122000002200000000-1-1-1-1-1-102-1-120-1-1000-1-1-1-100000
χ2222222-122-1-12-122-122-1-1-1-122-1-122-1002222-1222-1-1-1-1-1-1-2-200000-2-200000000-1-1-1-1-1-10-211-2011000111100000
χ2322222-122-1-12-122-122-1-1-1-122-1-122-100-2-2-2-2-1-2-22-1-1-1-1-1-12200000-2-20000000011111102-1-1-20-1-1000111100000
χ2422222-122-1-12-122-122-1-1-1-122-1-122-100-2-2-2-2-1-2-22-1-1-1-1-1-1-2-20000022000000001111110-2112011000-1-1-1-100000
χ2522222-122-1-12-122-1-2-2-1-1-1-1-2-21122-1002-2221-2-2-21111-1-122000002200000000-1-1-11110-2-1-1-2011000-1-11100000
χ2622222-122-1-12-122-1-2-2-1-1-1-1-2-21122-1002-2221-2-2-21111-1-1-2-200000-2-200000000-1-1-1111021120-1-100011-1-100000
χ2722222-122-1-12-122-1-2-2-1-1-1-1-2-21122-100-22-2-2122-21111-1-12200000-2-200000000111-1-1-10-2-1-1201100011-1-100000
χ2822222-122-1-12-122-1-2-2-1-1-1-1-2-21122-100-22-2-2122-21111-1-1-2-2000002200000000111-1-1-10211-20-1-1000-1-11100000
χ292222-122222-12-1-1-122-1-1-12-1-122-1-122222-1-12-1-1-1-1-1-1-1-1-1002222200-1-1-1-1-1-1-1-12-1-12-1-120000-100-1-1-1000000000
χ302222-122222-12-1-1-122-1-1-12-1-122-1-1222-2-211211-1-1-1-1-1-1-100222-2-200-1-1-1-11111-211-211-20000-10011-1000000000
χ312222-122222-12-1-1-122-1-1-12-1-122-1-12-2-222-1-12-1-1-1-1-1-1-1-1-100-2-2-2-2-200111111112-1-12-1-1-20000100111000000000
χ322222-122222-12-1-1-122-1-1-12-1-122-1-12-2-2-2-211211-1-1-1-1-1-1-100-2-2-222001111-1-1-1-1-211-21120000100-1-11000000000
χ332222-122222-12-1-1-1-2-2-1-1-1211-2-2-1-12222-2-1-1-21111111-1-1002-2-2220011-1-1-1-1-1-12-1-1-211-20000-100111000000000
χ342222-122222-12-1-1-1-2-2-1-1-1211-2-2-1-1222-2211-2-1-111111-1-1002-2-2-2-20011-1-11111-2112-1-120000-100-1-11000000000
χ352222-122222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-22-2-1-1-21111111-1-100-222-2-200-1-11111112-1-1-21120000100-1-1-1000000000
χ362222-122222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-2-2211-2-1-111111-1-100-2222200-1-111-1-1-1-1-2112-1-1-2000010011-1000000000
χ372222-12-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-22200−i3i32−i3i31-1-1111100-22-20000-1-1-1-1−i3−i3i3i30−i3i30−i3i300000100−i3i31000000000
χ382222-12-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-22200i3−i32i3−i31-1-1111100-22-20000-1-1-1-1i3i3−i3−i30i3−i30i3−i300000100i3−i31000000000
χ392222-12-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-200−i3i32−i3i31-1-11111002-2200001111i3i3−i3−i30−i3i30−i3i300000-100i3−i3-1000000000
χ402222-12-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-200i3−i32i3−i31-1-11111002-2200001111−i3−i3i3i30i3−i30i3−i300000-100−i3i3-1000000000
χ412222-12-2-222-12-1-1-1-22-1-1-1-2112211-22200−i3i3-2i3−i3-111-1-11100-2-22000011-1-1−i3−i3i3i30−i3i30i3−i300000100i3−i3-1000000000
χ422222-12-2-222-12-1-1-1-22-1-1-1-2112211-22200i3−i3-2−i3i3-111-1-11100-2-22000011-1-1i3i3−i3−i30i3−i30−i3i300000100−i3i3-1000000000
χ432222-12-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200−i3i3-2i3−i3-111-1-1110022-20000-1-111i3i3−i3−i30−i3i30i3−i300000-100−i3i31000000000
χ442222-12-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200i3−i3-2−i3i3-111-1-1110022-20000-1-111−i3−i3i3i30i3−i30−i3i300000-100i3−i31000000000
χ452-22-222-22-22-2-22-2200-2-22-200002-22000000000000002-22-20002i−2i0000002i−2i2i−2i000000002-2000000000002i−2i000
χ462-22-222-22-22-2-22-2200-2-22-200002-22000000000000002-22-2000−2i2i000000−2i2i−2i2i000000002-200000000000−2i2i000
χ472-22-222-22-22-2-22-2200-2-22-200002-22000000000000002-2-220002i−2i0000002i−2i2i−2i00000000-2200000000000−2i2i000
χ482-22-222-22-22-2-22-2200-2-22-200002-22000000000000002-2-22000−2i2i000000−2i2i−2i2i00000000-22000000000002i−2i000
χ4944444-2-4-4-2-24-244-24-4-2-2-224422-4-42000000-200-4-2-222220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-24-244-2-44-2-2-22-4-4-2-2-4-42000000200422-2-2220000000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-2004-4-2-22222-1-1-1-11100000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-200-44222-2-22-1-1-1-111000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000−2i32i3-2−2i32i3211-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112-2-22222200002i3−2i3-22i3−2i3211-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-22220000−2i32i322i3−2i3-2-1-111-1-1000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002i3−2i32−2i32i3-2-1-111-1-1000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-44-4-4-44004-4-4000000000000000000000000000000022−22000000000000000000000000022−220000000
χ6044-4-444004-44-4-4-44004-4-40000000000000000000000000000000−22220000000000000000000000000−22220000000
χ6144-4-44-200-2242-4-4-200-22200023−2300000000000000023−2300000000022−220000000000000000000000000−226−600000
χ6244-4-44-200-2242-4-4-200-22200023−2300000000000000023−23000000000−222200000000000000000000000002−2−6600000
χ6344-4-44-200-2242-4-4-200-222000−2323000000000000000−232300000000022−220000000000000000000000000−22−6600000
χ6444-4-44-200-2242-4-4-200-222000−2323000000000000000−2323000000000−222200000000000000000000000002−26−600000
χ654-44-4444-4-44-4-44-4400-4-4440000-44-400000000000000-440000000000000000000000000000000000000000000
χ664-44-44-24-42-2-424-4-20022-2-20000-442000000000000002-20000000000000000000000000000023−23000000000000
χ674-44-44-24-42-2-424-4-20022-2-20000-442000000000000002-200000000000000000000000000000−2323000000000000
χ684-44-44-2-442-2-424-4-20022-2200004-4-200000000000000-224-400000000000000000000000-220000000000000000
χ694-44-44-2-442-2-424-4-20022-2200004-4-200000000000000-22-44000000000000000000000002-20000000000000000
χ704-44-4-244-4-442-4-22-20022-2400002-2-4000000000000002-2000000000000023−23−232300000000000000000000000000
χ714-44-4-244-4-442-4-22-20022-2400002-2-4000000000000002-20000000000000−232323−2300000000000000000000000000
χ724-44-4-24-44-442-4-22-20022-2-40000-22400000000000000-22000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ734-44-4-24-44-442-4-22-20022-2-40000-22400000000000000-2200000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ744-4-444400-4-4-44-44400-44-4000000004-400000000000000000000000004-4000000000000000000000000000000
χ754-4-444400-4-4-44-44400-44-400000000-440000000000000000000000000-44000000000000000000000000000000
χ764-4-44-2400-4-4242-2-2002-22023−23000004-40000000023−23000000000000023−23-22000000000000000000000000000000
χ774-4-44-2400-4-4242-2-2002-22023−2300000-440000000023−230000000000000−23232-2000000000000000000000000000000
χ784-4-44-2400-4-4242-2-2002-220−2323000004-400000000−23230000000000000−2323-22000000000000000000000000000000
χ794-4-44-2400-4-4242-2-2002-220−232300000-4400000000−2323000000000000023−232-2000000000000000000000000000000
χ8088-8-8-48008-8-4-844-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-44442002-2-200043−43000000000000000−2323000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44442002-2-2000−434300000000000000023−23000000000000000000000000000000000000000000000
χ838-88-8-4-48-84-444-44200-2-22-400004-4400000000000000-220000000000000000000000000000000000000000000
χ848-88-8-4-4-884-444-44200-2-2240000-44-4000000000000002-20000000000000000000000000000000000000000000
χ858-8-888-40044-8-4-88-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-22-2043−43000000000000000−232300000000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-22-20−434300000000000000023−2300000000000000000000000000000000000000000000000

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