Finite Group Databasebeta

← Group #11866144

Character table — Group #11866144

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244442668121212121212242424242424242422444661212121266612124424666688121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-111-1-11111111-1-11-111111-1-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-1-1111-1-1-11-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-111-1-111111-1-1-11-1-1-1-1-11111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-11-1-1-1111-111111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-111-1-11-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-111-11-111-1-111-111-1-11
χ12111111111111111-1-111111111111-1-1-1-1-11-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-11111-1
χ13111111111111111-1-11111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-1111-1-11-11-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-1-1-111-1-1-11-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-111-1-1-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-111-1-111-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-200000-2-200000000-2000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022000000002000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-22222000002200000000-2000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-22200000-2-2000000002000000200000
χ2122222-122-1-12-122-122-1-1-1-12-122222002-1-12-1-122-1-122-1-1-1-1-1-122000-1-100-1-12-1-1-1-10020-1-1-1-120000-1-100000000
χ2222222-122-1-12-122-122-1-1-1-12-12222200-211-2-1-122-1-1-2-211111122000-1-100-1-1-211-1-100-20-1-111-200001100000000
χ2322222-122-1-12-122-122-1-1-1-12-12-2-2-2-2002-1-12-1-122-1-122-1-1-1-1-1-1-2-20001100112-1-1-1-100-201111-200001100000000
χ2422222-122-1-12-122-122-1-1-1-12-12-2-2-2-200-211-2-1-122-1-1-2-2111111-2-2000110011-211-1-1002011-1-120000-1-100000000
χ2522222-122-1-12-122-1-2-2-1-1-1-12-122222002-1-1-211-2-2-1-1-2-2111111-2-2000-1-100-1-12-1-111002011-1-1-200001100000000
χ2622222-122-1-12-122-1-2-2-1-1-1-12-12222200-211211-2-2-1-122-1-1-1-1-1-1-2-2000-1-100-1-1-2111100-20111120000-1-100000000
χ2722222-122-1-12-122-1-2-2-1-1-1-12-12-2-2-2-2002-1-1-211-2-2-1-1-2-2111111220001100112-1-11100-20-1-11120000-1-100000000
χ2822222-122-1-12-122-1-2-2-1-1-1-12-12-2-2-2-200-211211-2-2-1-122-1-1-1-1-1-122000110011-211110020-1-1-1-1-200001100000000
χ292222-122222-12-1-1-122-1-1-12-12-1000022222222-1-1-1-1-1-122-1-1-1-10022200-1-100-1-1-1-1-10002000002-1-1-100-1-1000-100
χ302222-122222-12-1-1-122-1-1-12-12-1000022-2-2-2-222-1-1-1-111-2-211110022200-1-100111-1-1000-200000-2-1-1-10011000100
χ312222-122222-12-1-1-122-1-1-12-12-10000-2-2222222-1-1-1-1-1-122-1-1-1-100-2-2-2001100-1-1-1-1-1000-200000-21110011000100
χ322222-122222-12-1-1-122-1-1-12-12-10000-2-2-2-2-2-222-1-1-1-111-2-2111100-2-2-2001100111-1-1000200000211100-1-1000-100
χ332222-122222-12-1-1-1-2-2-1-1-12-12-1000022222-2-2-211-1-111-2-21111002-2-200-1-100-1-1-111000200000-2-1110011000-100
χ342222-122222-12-1-1-1-2-2-1-1-12-12-1000022-2-2-22-2-211-1-1-1-122-1-1-1-1002-2-200-1-10011111000-2000002-11100-1-1000100
χ352222-122222-12-1-1-1-2-2-1-1-12-12-10000-2-2222-2-2-211-1-111-2-2111100-222001100-1-1-111000-20000021-1-100-1-1000100
χ362222-122222-12-1-1-1-2-2-1-1-12-12-10000-2-2-2-2-22-2-211-1-1-1-122-1-1-1-100-22200110011111000200000-21-1-10011000-100
χ372-22-2222-2-2-2-222-2200-2-2222-2-22-22-200000000002-2000000000002i−2i2-2002-200000000000000002i−2i000002i−2i000
χ382-22-2222-2-2-2-222-2200-2-2222-2-22-22-200000000002-200000000000−2i2i2-2002-20000000000000000−2i2i00000−2i2i000
χ392-22-2222-2-2-2-222-2200-2-2222-2-2-22-2200000000002-2000000000002i−2i-2200-2200000000000000002i−2i00000−2i2i000
χ402-22-2222-2-2-2-222-2200-2-2222-2-2-22-2200000000002-200000000000−2i2i-2200-220000000000000000−2i2i000002i−2i000
χ412-22-222-22-2-2-222-222-2-2-22-2-2222-2-220000002-22-2-22000000002-20002-200-220002-200002-200000000000000000
χ422-22-222-22-2-2-222-222-2-2-22-2-222-222-20000002-22-2-2200000000-22000-22002-20002-20000-2200000000000000000
χ432-22-222-22-2-2-222-22-22-2-22-2-2222-2-22000000-22-22-2200000000-220002-200-22000-220000-2200000000000000000
χ442-22-222-22-2-2-222-22-22-2-22-2-222-222-2000000-22-22-22000000002-2000-22002-2000-2200002-200000000000000000
χ452-22-22-1-2211-2-12-2-12-211-11-2-122-2-22000−i3i30-112-21-100−i3i3−i3−i3i3i32-2000-11001-10−i3i3-110000-11−i3i300000−i3i300000000
χ462-22-22-1-2211-2-12-2-12-211-11-2-122-2-22000i3−i30-112-21-100i3−i3i3i3−i3−i32-2000-11001-10i3−i3-110000-11i3−i300000i3−i300000000
χ472-22-22-1-2211-2-12-2-12-211-11-2-12-222-2000−i3i30-112-21-100−i3i3−i3−i3i3i3-220001-100-110−i3i3-1100001-1i3−i300000i3−i300000000
χ482-22-22-1-2211-2-12-2-12-211-11-2-12-222-2000i3−i30-112-21-100i3−i3i3i3−i3−i3-220001-100-110i3−i3-1100001-1−i3i300000−i3i300000000
χ492-22-22-1-2211-2-12-2-1-2211-11-2-122-2-22000−i3i301-1-221-100i3−i3i3i3−i3−i3-22000-11001-10−i3i31-100001-1−i3i300000i3−i300000000
χ502-22-22-1-2211-2-12-2-1-2211-11-2-122-2-22000i3−i301-1-221-100−i3i3−i3−i3i3i3-22000-11001-10i3−i31-100001-1i3−i300000−i3i300000000
χ512-22-22-1-2211-2-12-2-1-2211-11-2-12-222-2000−i3i301-1-221-100i3−i3i3i3−i3−i32-20001-100-110−i3i31-10000-11i3−i300000−i3i300000000
χ522-22-22-1-2211-2-12-2-1-2211-11-2-12-222-2000i3−i301-1-221-100−i3i3−i3−i3i3i32-20001-100-110i3−i31-10000-11−i3i300000i3−i300000000
χ5344444-2-4-4-2-24-244-200-2-2-22-42-444-4-40000000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-4-2-24-244-200-2-2-22-42-4-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-444-24-2-2-200-2-2-2-42-4200004400000000220000000000-40000-2-2000000000000000002000000000000
χ564444-24-4-444-24-2-2-200-2-2-2-42-420000-4-400000000220000000000400002200000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-20000004-2-24-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-422-4-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-2-2-42222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4224222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-4-4-4-444004-4-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-444004-4-4-4-444004-4-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-4-24004-42-42-2-200-222000000004i−4i00000000006−6006−66−60000000−2i2i0000000000000000000000i6−i6000000
χ6444-4-4-24004-42-42-2-200-222000000004i−4i0000000000−6600−66−660000000−2i2i0000000000000000000000−i6i6000000
χ6544-4-4-24004-42-42-2-200-22200000000−4i4i00000000006−6006−66−600000002i−2i0000000000000000000000−i6i6000000
χ6644-4-4-24004-42-42-2-200-22200000000−4i4i0000000000−6600−66−6600000002i−2i0000000000000000000000i6−i6000000
χ674-44-44-24-422-4-24-4-20022-2-242-44-44-40000000000-220000000000000-2200-220000000000000000000000000000
χ684-44-44-24-422-4-24-4-20022-2-242-4-44-440000000000-2200000000000002-2002-20000000000000000000000000000
χ694-44-4-244-4-4-424-22-20022-24-2-4200000000000000-22000000000004i−4i0000000000000000000000−2i2i0000000000
χ704-44-4-244-4-4-424-22-20022-24-2-4200000000000000-2200000000000−4i4i00000000000000000000002i−2i0000000000
χ714-44-4-24-44-4-424-22-24-422-2-424-200000000004-4-222-20000000000000000000000-2200000000000000000000000
χ724-44-4-24-44-4-424-22-2-4422-2-424-20000000000-442-22-200000000000000000000002-200000000000000000000000
χ734-44-4-2-2-44222-2-2214-4-1-1122-2-20000000−2i32i30-22-22-1100−2i32i3i3i3−i3−i3000000000000i3−i31-100000000000000000000000
χ744-44-4-2-2-44222-2-2214-4-1-1122-2-200000002i3−2i30-22-22-11002i3−2i3−i3−i3i3i3000000000000−i3i31-100000000000000000000000
χ754-44-4-2-2-44222-2-221-44-1-1122-2-20000000−2i32i302-22-2-11002i3−2i3−i3−i3i3i3000000000000i3−i3-1100000000000000000000000
χ764-44-4-2-2-44222-2-221-44-1-1122-2-200000002i3−2i302-22-2-1100−2i32i3i3i3−i3−i3000000000000−i3i3-1100000000000000000000000
χ774-4-444400-444-4-4-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ784-4-444400-444-4-4-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400-44-84-88-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-42002-2-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-42002-2-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ838-88-8-4-48-8444-4-44200-2-22-4-444000000000000002-200000000000000000000000000000000000000000000000
χ848-8-888-4004-484-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-88-4-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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