Finite Group Databasebeta

← Group #11866140

Character table — Group #11866140

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
χ311111111111111111111111111-1-111111111111111111111-1-111-11111-1-111111-1-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-11-1-1-1-1-11-111-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-11-1-1-1-11111111-1-1-1111-1-1-111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-111-1-11-111111-11-1-111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-11-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-11
χ11111111111111111-1-1111111111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1111-1-1-1-11-11111-11-1-1-1-1-111-111-1-11
χ12111111111111111-1-1111111111-1-111-1-1-11-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-11111-1
χ13111111111111111-1-11111111-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-11-111111-1-1-1111-11
χ14111111111111111-1-11111111-1-111-1-1-1-1-11-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-111-11111-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-111-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-2000000000000-222-2-22200000-2-200000000-2000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-20000022000000002000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-22222000002200000000-2000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-222-2-200000-2-2000000002000000200000
χ2122222-122-12-12-12-122-1-1-1-12-122200222-1-12-1-122-1-122-1-1-1-1-1-100220-1-1-1-1002-1-1-1-1002000-1-1200-1-1-1-100000000
χ2222222-122-12-12-12-122-1-1-1-12-12220022-211-2-1-122-1-1-2-211111100220-1-1-1-100-211-1-100-200011-200-1-11100000000
χ2322222-122-12-12-12-122-1-1-1-12-12-2-200-2-22-1-12-1-122-1-122-1-1-1-1-1-100-2-201111002-1-1-1-100-200011-200111100000000
χ2422222-122-12-12-12-122-1-1-1-12-12-2-200-2-2-211-2-1-122-1-1-2-211111100-2-20111100-211-1-1002000-1-120011-1-100000000
χ2522222-122-12-12-12-1-2-2-1-1-1-12-122200222-1-1-211-2-2-1-1-2-211111100-2-20-1-1-1-1002-1-111002000-1-1-200111100000000
χ2622222-122-12-12-12-1-2-2-1-1-1-12-12220022-211211-2-2-1-122-1-1-1-1-1-100-2-20-1-1-1-100-2111100-20001120011-1-100000000
χ2722222-122-12-12-12-1-2-2-1-1-1-12-12-2-200-2-22-1-1-211-2-2-1-1-2-2111111002201111002-1-11100-200011200-1-1-1-100000000
χ2822222-122-12-12-12-1-2-2-1-1-1-12-12-2-200-2-2-211211-2-2-1-122-1-1-1-1-1-100220111100-21111002000-1-1-200-1-11100000000
χ292222-12222-12-12-1-122-1-1-12-12-1002200222222-1-1-1-1-1-122-1-1-1-1220020000-1-1-1-1-1-1-10002-1-10002-10000-1-1000-100
χ302222-12222-12-12-1-122-1-1-12-12-1002200-2-2-2-222-1-1-1-111-2-21111220020000-1-1111-1-1000-2-1-1000-2-1000011000100
χ312222-12222-12-12-1-122-1-1-12-12-100-2-200222222-1-1-1-1-1-122-1-1-1-1-2-200-2000011-1-1-1-1-1000-211000-21000011000100
χ322222-12222-12-12-1-122-1-1-12-12-100-2-200-2-2-2-222-1-1-1-111-2-21111-2-200-2000011111-1-1000211000210000-1-1000-100
χ332222-12222-12-12-1-1-2-2-1-1-12-12-1002200222-2-2-211-1-111-2-21111-2-20020000-1-1-1-1-111000211000-2-1000011000-100
χ342222-12222-12-12-1-1-2-2-1-1-12-12-1002200-2-2-22-2-211-1-1-1-122-1-1-1-1-2-20020000-1-111111000-2110002-10000-1-1000100
χ352222-12222-12-12-1-1-2-2-1-1-12-12-100-2-200222-2-2-211-1-111-2-211112200-2000011-1-1-111000-2-1-1000210000-1-1000100
χ362222-12222-12-12-1-1-2-2-1-1-12-12-100-2-200-2-2-22-2-211-1-1-1-122-1-1-1-12200-2000011111110002-1-1000-21000011000-100
χ372-2-22222-2-2-22-2-2222i−2i-22-222-2-22-2002-200002i−2i2i−2i2-200000000002i−2i02-22-2000002i−2i000000000002i−2i0000000000
χ382-2-22222-2-2-22-2-2222i−2i-22-222-2-2-2200-2200002i−2i2i−2i2-20000000000−2i2i0-22-22000002i−2i00000000000−2i2i0000000000
χ392-2-22222-2-2-22-2-222−2i2i-22-222-2-22-2002-20000−2i2i−2i2i2-20000000000−2i2i02-22-200000−2i2i00000000000−2i2i0000000000
χ402-2-22222-2-2-22-2-222−2i2i-22-222-2-2-2200-220000−2i2i−2i2i2-200000000002i−2i0-22-2200000−2i2i000000000002i−2i0000000000
χ412-2-2222-22-2-22-2-22200-22-2-2-2222-200-2200000000-22000000002-20002-2-22000000000002-20000000000002-2000
χ422-2-2222-22-2-22-2-22200-22-2-2-2222-200-2200000000-2200000000-220002-2-2200000000000-22000000000000-22000
χ432-2-2222-22-2-22-2-22200-22-2-2-222-22002-200000000-22000000002-2000-222-2000000000002-2000000000000-22000
χ442-2-2222-22-2-22-2-22200-22-2-2-222-22002-200000000-2200000000-22000-222-200000000000-220000000000002-2000
χ452-2-222-12-21-2-1-212-12i−2i1-11-121-22-2002-20−i3i30−ii2i−2i-11003−333−3−3002i−2i0-11-11000−i3i3−ii000000−i3i3000−ii3−300000000
χ462-2-222-12-21-2-1-212-12i−2i1-11-121-22-2002-20i3−i30−ii2i−2i-1100−33−3−333002i−2i0-11-11000i3−i3−ii000000i3−i3000−ii−3300000000
χ472-2-222-12-21-2-1-212-12i−2i1-11-121-2-2200-220−i3i30−ii2i−2i-11003−333−3−300−2i2i01-11-1000−i3i3−ii000000i3−i3000i−i−3300000000
χ482-2-222-12-21-2-1-212-12i−2i1-11-121-2-2200-220i3−i30−ii2i−2i-1100−33−3−33300−2i2i01-11-1000i3−i3−ii000000−i3i3000i−i3−300000000
χ492-2-222-12-21-2-1-212-1−2i2i1-11-121-22-2002-20−i3i30i−i−2i2i-1100−33−3−33300−2i2i0-11-11000−i3i3i−i000000−i3i3000i−i−3300000000
χ502-2-222-12-21-2-1-212-1−2i2i1-11-121-22-2002-20i3−i30i−i−2i2i-11003−333−3−300−2i2i0-11-11000i3−i3i−i000000i3−i3000i−i3−300000000
χ512-2-222-12-21-2-1-212-1−2i2i1-11-121-2-2200-220−i3i30i−i−2i2i-1100−33−3−333002i−2i01-11-1000−i3i3i−i000000i3−i3000−ii3−300000000
χ522-2-222-12-21-2-1-212-1−2i2i1-11-121-2-2200-220i3−i30i−i−2i2i-11003−333−3−3002i−2i01-11-1000i3−i3i−i000000−i3i3000−ii−3300000000
χ5344444-2-4-4-24-24-24-200-2-2-22-42-44400-4-400000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-4-24-24-24-200-2-2-22-42-4-4-400440000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-44-24-24-2-200-2-2-2-42-420044000000000022000000000000-40000-2-20000000000000002000000000000
χ564444-24-4-44-24-24-2-200-2-2-2-42-4200-4-40000000000220000000000004000022000000000000000-2000000000000
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
χ6144-4-444004-4-44-4-4400-4-44000000000000000000000000000000000000000000004i−4i000000000000000000000
χ6244-4-444004-4-44-4-4400-4-4400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ634-44-44400-44-4-44-44004-4-40000004i−4i000000000000000000000000000004i−4i0000000000000000000000000000
χ644-44-44400-44-4-44-44004-4-4000000−4i4i00000000000000000000000000000−4i4i0000000000000000000000000000
χ654-44-4-2400-4-2-4242-200-2220000004i−4i0000000000006−6006−66−6000000000−2i2i00000000000000000000i6−i6000000
χ664-44-4-2400-4-2-4242-200-2220000004i−4i000000000000−6600−66−66000000000−2i2i00000000000000000000−i6i6000000
χ674-44-4-2400-4-2-4242-200-222000000−4i4i0000000000006−6006−66−60000000002i−2i00000000000000000000−i6i6000000
χ684-44-4-2400-4-2-4242-200-222000000−4i4i000000000000−6600−66−660000000002i−2i00000000000000000000i6−i6000000
χ694-4-444-2-442-4-2-424-2002-222-4-244-400-44000000002-20000000000000-222-2000000000000000000000000000000
χ704-4-444-2-442-4-2-424-2002-222-4-24-44004-4000000002-200000000000002-2-22000000000000000000000000000000
χ714-4-44-244-4-4242-4-2-24i−4i2-224-2-4200000000004i−4i−2i2i-220000000000000000000000−2i2i00000000000000000000000
χ724-4-44-244-4-4242-4-2-2−4i4i2-224-2-420000000000−4i4i2i−2i-2200000000000000000000002i−2i00000000000000000000000
χ734-4-44-24-44-4242-4-2-2002-22-424-2000000000000002-2000000004-4000000000000000000-2200000000000000000
χ744-4-44-24-44-4242-4-2-2002-22-424-2000000000000002-200000000-440000000000000000002-200000000000000000
χ754-4-44-2-24-422-222-214i−4i-11-1-2-2220000000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000i3−i3i−i00000000000000000000000
χ764-4-44-2-24-422-222-214i−4i-11-1-2-22200000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000−i3i3i−i00000000000000000000000
χ774-4-44-2-24-422-222-21−4i4i-11-1-2-2220000000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000i3−i3−ii00000000000000000000000
χ784-4-44-2-24-422-222-21−4i4i-11-1-2-22200000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000−i3i3−ii00000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400-4-8484-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480084-8-4-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-444200-2-2200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ8388-8-8-4-400-444-444200-2-22000000000000000000000000−323232−32000000000000000000000000000000000000000
χ848-88-88-400484-8-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-442002-2-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ868-88-8-4-4004-444-442002-2-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-22-244-4-400000000000000-2200000000000000000000000000000000000000000000000

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