Finite Group Databasebeta

← Group #11868763

Character table — Group #11868763

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424444446612121212121212121244448812121212121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-111111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-111-11111-1-111111-1-11-11-111-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-11-1-1-1-11111111-1-1-11-11-1-1111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-111-111-1-1-1-11-11-111111-1-111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-11-1-1-1-11111-1-11-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-11-1-1111-111-1-1-1-11111-1-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-1-11-1-11111-1-111-11-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-1-111111111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-2000000000000-222-2-2220000022000000-20000000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-200000-2-2000000200000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-2222200000-2-2000000-200000000002000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-222-2-2000002200000020000000000-2000
χ2122222-122-1-1222-1-122-1-1-1-12-122200222222-1-1-1-1-1-122-1-1-1-1-1-100220-1-1-1-1002-1-1-1-1002020-1-1000-1-1-1-100000000
χ2222222-122-1-1222-1-122-1-1-1-12-12220022-2-222-1-111-1-1-2-211111100220-1-1-1-100-2-1-11100-20-2011000-1-11100000000
χ2322222-122-1-1222-1-122-1-1-1-12-12-2-200-2-22222-1-1-1-1-1-122-1-1-1-1-1-100-2-201111002-1-1-1-100-20-2011000111100000000
χ2422222-122-1-1222-1-122-1-1-1-12-12-2-200-2-2-2-222-1-111-1-1-2-211111100-2-20111100-2-1-111002020-1-100011-1-100000000
χ2522222-122-1-1222-1-1-2-2-1-1-1-12-122200222-2-2-211-1-1-1-1-2-211111100-2-20-1-1-1-100211-1-10020-20-1-1000111100000000
χ2622222-122-1-1222-1-1-2-2-1-1-1-12-12220022-22-2-21111-1-122-1-1-1-1-1-100-2-20-1-1-1-100-2111100-20201100011-1-100000000
χ2722222-122-1-1222-1-1-2-2-1-1-1-12-12-2-200-2-22-2-2-211-1-1-1-1-2-211111100220111100211-1-100-202011000-1-1-1-100000000
χ2822222-122-1-1222-1-1-2-2-1-1-1-12-12-2-200-2-2-22-2-21111-1-122-1-1-1-1-1-100220111100-211110020-20-1-1000-1-11100000000
χ292222-122222-1-1-12-122-1-1-12-12-100220022-1-12222-1-1-1-122-1-1-1-1220020000-1-1-1-1-1-1-100020200-1-1-10000-1-1000-100
χ302222-122222-1-1-12-122-1-1-12-12-1002200-2-2-1-122-2-2-1-111-2-21111220020000-1-11-1-111000-20-200-1-1-1000011000100
χ312222-122222-1-1-12-122-1-1-12-12-100-2-20022-1-12222-1-1-1-122-1-1-1-1-2-200-2000011-1-1-1-1-1000-20-200111000011000100
χ322222-122222-1-1-12-122-1-1-12-12-100-2-200-2-2-1-122-2-2-1-111-2-21111-2-200-20000111-1-111000202001110000-1-1000-100
χ332222-122222-1-1-12-1-2-2-1-1-12-12-10022002-211-2-222-1-111-2-21111-2-20020000-1-1-111-1-100020-200-111000011000-100
χ342222-122222-1-1-12-1-2-2-1-1-12-12-1002200-2211-2-2-2-2-1-1-1-122-1-1-1-1-2-20020000-1-111111000-20200-1110000-1-1000100
χ352222-122222-1-1-12-1-2-2-1-1-12-12-100-2-2002-211-2-222-1-111-2-211112200-2000011-111-1-1000-202001-1-10000-1-1000100
χ362222-122222-1-1-12-1-2-2-1-1-12-12-100-2-200-2211-2-2-2-2-1-1-1-122-1-1-1-12200-20000111111100020-2001-1-1000011000-100
χ372-22-2222-22-22-2-2-2200-22-222-2-22-2002-2000000002-2000000002-20002-22-200000000000000002-20000002-20000
χ382-22-2222-22-22-2-2-2200-22-222-2-22-2002-2000000002-200000000-220002-22-20000000000000000-22000000-220000
χ392-22-2222-22-22-2-2-2200-22-222-2-2-2200-22000000002-2000000002-2000-22-2200000000000000002-2000000-220000
χ402-22-2222-22-22-2-2-2200-22-222-2-2-2200-22000000002-200000000-22000-22-220000000000000000-220000002-20000
χ412-22-222-222-22-2-2-222i−2i-22-2-2-2222-200-22002i−2i2i−2i00-2200000000002i−2i02-2-220002i−2i00000000000002i−2i0000000000
χ422-22-222-222-22-2-2-222i−2i-22-2-2-222-22002-2002i−2i2i−2i00-220000000000−2i2i0-222-20002i−2i0000000000000−2i2i0000000000
χ432-22-222-222-22-2-2-22−2i2i-22-2-2-2222-200-2200−2i2i−2i2i00-220000000000−2i2i02-2-22000−2i2i0000000000000−2i2i0000000000
χ442-22-222-222-22-2-2-22−2i2i-22-2-2-222-22002-200−2i2i−2i2i00-2200000000002i−2i0-222-2000−2i2i00000000000002i−2i0000000000
χ452-22-22-1-22-112-2-21-12i−2i1-111-2-122-200-22002i−2i−ii3−31-100−i3i3−i3−i3i3i3002i−2i0-111-1000−ii3−30000003−3000−ii−i3i300000000
χ462-22-22-1-22-112-2-21-12i−2i1-111-2-122-200-22002i−2i−ii−331-100i3−i3i3i3−i3−i3002i−2i0-111-1000−ii−33000000−33000−iii3−i300000000
χ472-22-22-1-22-112-2-21-12i−2i1-111-2-12-22002-2002i−2i−ii3−31-100−i3i3−i3−i3i3i300−2i2i01-1-11000−ii3−3000000−33000i−ii3−i300000000
χ482-22-22-1-22-112-2-21-12i−2i1-111-2-12-22002-2002i−2i−ii−331-100i3−i3i3i3−i3−i300−2i2i01-1-11000−ii−330000003−3000i−i−i3i300000000
χ492-22-22-1-22-112-2-21-1−2i2i1-111-2-122-200-2200−2i2ii−i3−31-100i3−i3i3i3−i3−i300−2i2i0-111-1000i−i3−30000003−3000i−ii3−i300000000
χ502-22-22-1-22-112-2-21-1−2i2i1-111-2-122-200-2200−2i2ii−i−331-100−i3i3−i3−i3i3i300−2i2i0-111-1000i−i−33000000−33000i−i−i3i300000000
χ512-22-22-1-22-112-2-21-1−2i2i1-111-2-12-22002-200−2i2ii−i3−31-100i3−i3i3i3−i3−i3002i−2i01-1-11000i−i3−3000000−33000−ii−i3i300000000
χ522-22-22-1-22-112-2-21-1−2i2i1-111-2-12-22002-200−2i2ii−i−331-100−i3i3−i3−i3i3i3002i−2i01-1-11000i−i−330000003−3000−iii3−i300000000
χ5344444-2-4-4-2-2444-2-200-2-2-22-42-44400-4-400000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-22-42-4-4-400440000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-444-2-2-24-200-2-2-2-42-420044000000000022000000000000-40000-2-20000000000000200000000000000
χ564444-24-4-444-2-2-24-200-2-2-2-42-4200-4-400000000002200000000000040000220000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44400-44-4-44-44004-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ6244-4-44400-44-4-44-44004-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ634-44-44-24-4-224-4-42-2002-22-242-44-4004-400000000-220000000000000-22-22000000000000000000000000000000
χ644-44-44-24-4-224-4-42-2002-22-242-4-4400-4400000000-2200000000000002-22-2000000000000000000000000000000
χ654-44-4-244-44-4-222-4-2002-224-2-4200000000000000-22000000004-400000000000000000000000-22000000000000
χ664-44-4-244-44-4-222-4-2002-224-2-4200000000000000-2200000000-44000000000000000000000002-2000000000000
χ674-44-4-24-444-4-222-4-24i−4i2-22-424-200000000−2i2i4i−4i002-200000000000000000000−2i2i0000000000000000000000000
χ684-44-4-24-444-4-222-4-2−4i4i2-22-424-2000000002i−2i−4i4i002-2000000000000000000002i−2i0000000000000000000000000
χ694-44-4-2-2-44-22-222214i−4i-11-122-2-200000000−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i3000000000000i−i−3300000000000000000000000
χ704-44-4-2-2-44-22-222214i−4i-11-122-2-200000000−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i3000000000000i−i3−300000000000000000000000
χ714-44-4-2-2-44-22-22221−4i4i-11-122-2-2000000002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i3000000000000−ii−3300000000000000000000000
χ724-44-4-2-2-44-22-22221−4i4i-11-122-2-2000000002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i3000000000000−ii3−300000000000000000000000
χ734-4-444400-4-4-44-44400-4-440000004i−4i000000000000000000000000000004i−4i0000000000000000000000000000
χ744-4-444400-4-4-44-44400-4-44000000−4i4i00000000000000000000000000000−4i4i0000000000000000000000000000
χ754-4-44-2400-4-42-224-20022-20000004i−4i000000000000i6−i600i6−i6i6−i6000000000−2i2i000000000000000000006−6000000
χ764-4-44-2400-4-42-224-20022-20000004i−4i000000000000−i6i600−i6i6−i6i6000000000−2i2i00000000000000000000−66000000
χ774-4-44-2400-4-42-224-20022-2000000−4i4i000000000000i6−i600i6−i6i6−i60000000002i−2i00000000000000000000−66000000
χ784-4-44-2400-4-42-224-20022-2000000−4i4i000000000000−i6i600−i6i6−i6i60000000002i−2i000000000000000000006−6000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4004-4-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-8844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ8388-8-8-4-4004-444-442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ848-88-8-4-48-8-44-4444200-22-2-4-444000000000000002-200000000000000000000000000000000000000000000000
χ858-8-888-40044-88-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-22000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-2200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000

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