Finite Group Databasebeta

← Group #11865865

Character table — Group #11865865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666662236661212121222444446666812121212242424242424242422444661212121266121212442266668812121224242424444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111111-1-11-111111-1-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111111-1-1-11-1-1-1-1-11111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-1111-111111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11111111-1-111-1-11-1-1-1-1-1-11-1-111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-11
χ1111111111111111-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-111-11-111-1-111-111-1-11
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-11111-1
χ1311111111111111-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1111-1-1-1111-1-11-11-1-111-1-1-1111-11
χ1411111111111111-1-111111111-1-1-1-111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-111-1-1-1-111-111-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-111-1-111-11111111-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222002222-2-2-2-222-2-22200000000-2-20000000000-20022-2-222000002200000000-2000000-200000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000002000000200000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-200000000-2000000200000
χ20222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-20000022000000002000000-200000
χ2122222-122-1-122-1222-1-1-1-12-12-1222200222-1-12-1-1-1-122-1-1-1-1-1-122000-1-1-1-100-1-12-1-10020-1-1-1-120000-1-100000000
χ2222222-122-1-122-1222-1-1-1-12-12-1222200-222-1-1-211-1-1-2-211111122000-1-1-1-100-1-1-21100-20-1-111-200001100000000
χ2322222-122-1-122-1222-1-1-1-12-12-1-2-2-2-200222-1-12-1-1-1-122-1-1-1-1-1-1-2-2000111100-1-12-1-100-201111-200001100000000
χ2422222-122-1-122-1222-1-1-1-12-12-1-2-2-2-200-222-1-1-211-1-1-2-2111111-2-2000111100-1-1-211002011-1-120000-1-100000000
χ2522222-122-1-122-12-2-2-1-1-1-12-12-12222002-2-211-2-1-1-1-1-2-2111111-2-2000-1-1-1-100112-1-1002011-1-1-200001100000000
χ2622222-122-1-122-12-2-2-1-1-1-12-12-1222200-2-2-211211-1-122-1-1-1-1-1-1-2-2000-1-1-1-10011-21100-20111120000-1-100000000
χ2722222-122-1-122-12-2-2-1-1-1-12-12-1-2-2-2-2002-2-211-2-1-1-1-1-2-211111122000111100112-1-100-20-1-11120000-1-100000000
χ2822222-122-1-122-12-2-2-1-1-1-12-12-1-2-2-2-200-2-2-211211-1-122-1-1-1-1-1-12200011110011-2110020-1-1-1-1-200001100000000
χ292222-122222-1-12-122-1-1-1-1-12-120000222-1-122222-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-10002000002-1-1-100-1-1000-100
χ302222-122222-1-12-122-1-1-1-1-12-12000022-2-1-122-2-2-2-1-111-2-21111002220000-1-1-1-1111000-200000-2-1-1-10011000100
χ312222-122222-1-12-122-1-1-1-1-12-120000-2-22-1-122222-1-1-1-122-1-1-1-100-2-2-2000011-1-1-1-1-1000-200000-21110011000100
χ322222-122222-1-12-122-1-1-1-1-12-120000-2-2-2-1-122-2-2-2-1-111-2-2111100-2-2-2000011-1-1111000200000211100-1-1000-100
χ332222-122222-1-12-1-2-2-1-1-1-1-12-12000022211-2-2-222-1-111-2-21111002-2-20000-1-111-1-1-1000200000-2-1110011000-100
χ342222-122222-1-12-1-2-2-1-1-1-1-12-12000022-211-2-22-2-2-1-1-1-122-1-1-1-1002-2-20000-1-111111000-2000002-11100-1-1000100
χ352222-122222-1-12-1-2-2-1-1-1-1-12-120000-2-2211-2-2-222-1-111-2-2111100-22200001111-1-1-1000-20000021-1-100-1-1000100
χ362222-122222-1-12-1-2-2-1-1-1-1-12-120000-2-2-211-2-22-2-2-1-1-1-122-1-1-1-100-22200001111111000200000-21-1-10011000-100
χ372-22-2222-2-2-22-22-2002-2-2222-2-22-22-200000000002-2000000000002i−2i2-22-20000000000000000002i−2i000002i−2i000
χ382-22-2222-2-2-22-22-2002-2-2222-2-22-22-200000000002-200000000000−2i2i2-22-2000000000000000000−2i2i00000−2i2i000
χ392-22-2222-2-2-22-22-2002-2-2222-2-2-22-2200000000002-2000000000002i−2i-22-220000000000000000002i−2i00000−2i2i000
χ402-22-2222-2-2-22-22-2002-2-2222-2-2-22-2200000000002-200000000000−2i2i-22-22000000000000000000−2i2i000002i−2i000
χ412-22-222-22-2-22-22-22-22-2-22-2-2222-2-220002-22-2000-22000000002-20002-2-22002-200000002-200000000000000000
χ422-22-222-22-2-22-22-22-22-2-22-2-222-222-20002-22-2000-2200000000-22000-222-2002-20000000-2200000000000000000
χ432-22-222-22-2-22-22-2-222-2-22-2-2222-2-22000-22-22000-2200000000-220002-2-2200-220000000-2200000000000000000
χ442-22-222-22-2-22-22-2-222-2-22-2-222-222-2000-22-22000-22000000002-2000-222-200-2200000002-200000000000000000
χ452-22-22-1-22112-2-1-22-2-111-1-212-12-2-220002-2-110−i3i31-100−i3i3−i3−i3i3i32-2000-111-100-110−i3i30000-11−i3i300000−i3i300000000
χ462-22-22-1-22112-2-1-22-2-111-1-212-12-2-220002-2-110i3−i31-100i3−i3i3i3−i3−i32-2000-111-100-110i3−i30000-11i3−i300000i3−i300000000
χ472-22-22-1-22112-2-1-22-2-111-1-212-1-222-20002-2-110−i3i31-100−i3i3−i3−i3i3i3-220001-1-1100-110−i3i300001-1i3−i300000i3−i300000000
χ482-22-22-1-22112-2-1-22-2-111-1-212-1-222-20002-2-110i3−i31-100i3−i3i3i3−i3−i3-220001-1-1100-110i3−i300001-1−i3i300000−i3i300000000
χ492-22-22-1-22112-2-1-2-22-111-1-212-12-2-22000-221-10−i3i31-100i3−i3i3i3−i3−i3-22000-111-1001-10−i3i300001-1−i3i300000i3−i300000000
χ502-22-22-1-22112-2-1-2-22-111-1-212-12-2-22000-221-10i3−i31-100−i3i3−i3−i3i3i3-22000-111-1001-10i3−i300001-1i3−i300000−i3i300000000
χ512-22-22-1-22112-2-1-2-22-111-1-212-1-222-2000-221-10−i3i31-100i3−i3i3i3−i3−i32-20001-1-11001-10−i3i30000-11i3−i300000−i3i300000000
χ522-22-22-1-22112-2-1-2-22-111-1-212-1-222-2000-221-10i3−i31-100−i3i3−i3−i3i3i32-20001-1-11001-10i3−i30000-11−i3i300000i3−i300000000
χ5344444-2-4-4-2-244-2400-2-2-2-2-42-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-4-2-244-2400-2-2-2-2-42-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-444-2-24-200-2-2-2-22-42-400004400000000220000000000-4000000-2-20000000000000002000000000000
χ564444-24-4-444-2-24-200-2-2-2-22-42-40000-4-400000000220000000000400000022000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-444004-4-44-4-40044-4-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-444004-4-44-4-40044-4-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-4-24004-42-2-4200-2-222000000004i−4i00000000006−6006−66−6000000000−2i2i00000000000000000000i6−i6000000
χ6444-4-4-24004-42-2-4200-2-222000000004i−4i0000000000−6600−66−66000000000−2i2i00000000000000000000−i6i6000000
χ6544-4-4-24004-42-2-4200-2-22200000000−4i4i00000000006−6006−66−60000000002i−2i00000000000000000000−i6i6000000
χ6644-4-4-24004-42-2-4200-2-22200000000−4i4i0000000000−6600−66−660000000002i−2i00000000000000000000i6−i6000000
χ674-44-44-24-4224-4-2-400-222-24-2-424-44-40000000000-220000000000000-22-22000000000000000000000000000000
χ684-44-44-24-4224-4-2-400-222-24-2-42-44-440000000000-2200000000000002-22-2000000000000000000000000000000
χ694-44-4-244-4-4-4-224200-222-2-242-400000000000000-22000000000004i−4i0000000000000000000000−2i2i0000000000
χ704-44-4-244-4-4-4-224200-222-2-242-400000000000000-2200000000000−4i4i00000000000000000000002i−2i0000000000
χ714-44-4-24-44-4-4-22424-4-222-22-4-240000000-224-40002-20000000000000000000-2200000000000000000000000000
χ724-44-4-24-44-4-4-2242-44-222-22-4-2400000002-2-440002-200000000000000000002-200000000000000000000000000
χ734-44-4-2-2-4422-22-224-41-1-1122-2-20000000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000001-10i3−i300000000000000000000000
χ744-44-4-2-2-4422-22-224-41-1-1122-2-20000000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000001-10−i3i300000000000000000000000
χ754-44-4-2-2-4422-22-22-441-1-1122-2-200000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000-110i3−i300000000000000000000000
χ764-44-4-2-2-4422-22-22-441-1-1122-2-200000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000-110−i3i300000000000000000000000
χ774-4-444400-44-4-4-44004-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-444400-44-4-4-44004-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400-44-884-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4440022-2-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-444-4440022-2-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ838-88-8-4-48-844-44-44002-2-22-4-444000000000000002-200000000000000000000000000000000000000000000000
χ848-8-888-4004-4-8-84800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8844-8-400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-4002-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-4002-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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