Finite Group Databasebeta

← Group #11870384

Character table — Group #11870384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224426681212121212122424242424242424244444666688121266612124481212121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-111-1-1-1-111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-111-11-1-111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-1111-1-11111-1-111111-11-11-1-111-1-111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1111-111-1-11111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1-111111-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111-1-11-1-1-1-1-1111111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-111-111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1111-1-1-111111-1-1-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-11-11111-1-1111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000020000-2222200-2-200000000-20000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-20000222-2-200-2-200000000200000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000020000-2-2-222002200000000-200000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200002-2-2-2-200220000000020000000000-22000000
χ2122222-1222-1-12-12-122-1-1-12-1-120000222222-1-1-1-1-1-122-1-1-1-120022200-1-12200-1-1-1-1-1020-100-1-100-1-100000000-10
χ2222222-1222-1-12-12-122-1-1-12-1-120000222222-1-1-1-1-1-122-1-1-1-1-200-2-2-20011-2-200-1-1-1-1-10-201001100110000000010
χ2322222-1222-1-12-12-122-1-1-12-1-120000-2-2-2-222-1-1-1-111-2-2111120022200-1-1-2-200111-1-10-20-100-1-100110000000010
χ2422222-1222-1-12-12-122-1-1-12-1-120000-2-2-2-222-1-1-1-111-2-21111-200-2-2-200112200111-1-10201001100-1-100000000-10
χ2522222-1222-1-12-12-1-2-2-1-1-12-1-120000222-2-2-211-1-111-2-21111200-2-2200-1-1-2-200-1-1-111020-10011001100000000-10
χ2622222-1222-1-12-12-1-2-2-1-1-12-1-120000222-2-2-211-1-111-2-21111-20022-200112200-1-1-1110-20100-1-100-1-10000000010
χ2722222-1222-1-12-12-1-2-2-1-1-12-1-120000-2-2-22-2-211-1-1-1-122-1-1-1-1200-2-2200-1-12200111110-20-1001100-1-10000000010
χ2822222-1222-1-12-12-1-2-2-1-1-12-1-120000-2-2-22-2-211-1-1-1-122-1-1-1-1-20022-20011-2-20011111020100-1-1001100000000-10
χ292222-1222-122-12-1-122-1-1-1-122-122222-1-12-1-122-1-122-1-1-1-1-1-1022000-1-10000-1-12-1-1-1-12020-1-100-1-100-1-100000000
χ302222-1222-122-12-1-122-1-1-1-122-12222-211-2-1-122-1-1-2-2111111022000-1-10000-1-1-211-1-1-20-20-1-10011001100000000
χ312222-1222-122-12-1-122-1-1-1-122-1-2-2-2-22-1-12-1-122-1-122-1-1-1-1-1-10-2-2000110000112-1-1-1-1-20-20110011001100000000
χ322222-1222-122-12-1-122-1-1-1-122-1-2-2-2-2-211-2-1-122-1-1-2-21111110-2-200011000011-211-1-120201100-1-100-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-1-122-122222-1-1-211-2-2-1-1-2-21111110-2-2000-1-10000-1-12-1-11120-201100-1-1001100000000
χ342222-1222-122-12-1-1-2-2-1-1-1-122-12222-211211-2-2-1-122-1-1-1-1-1-10-2-2000-1-10000-1-1-21111-202011001100-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-22-1-1-211-2-2-1-1-2-2111111022000110000112-1-111-2020-1-1001100-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-2-211211-2-2-1-122-1-1-1-1-1-102200011000011-2111120-20-1-100-1-1001100000000
χ372-22-2222-2-22-2-2-22200-22-2-22-222-22-200000000-22000000000002i−2i02-200002-2000000000002i−2i000000002i−2i0000
χ382-22-2222-2-22-2-2-22200-22-2-22-222-22-200000000-2200000000000−2i2i02-200002-200000000000−2i2i00000000−2i2i0000
χ392-22-2222-2-22-2-2-22200-22-2-22-22-22-2200000000-22000000000002i−2i0-220000-22000000000002i−2i00000000−2i2i0000
χ402-22-2222-2-22-2-2-22200-22-2-22-22-22-2200000000-2200000000000−2i2i0-220000-2200000000000−2i2i000000002i−2i0000
χ412-22-222-22-22-2-2-2222i−2i-22-22-22-22-2-2200002i−2i2i−2i2-20000000002i−2i0002-20000-220002i−2i00002i−2i0000000000000000
χ422-22-222-22-22-2-2-2222i−2i-22-22-22-2-222-200002i−2i2i−2i2-2000000000−2i2i000-2200002-20002i−2i0000−2i2i0000000000000000
χ432-22-222-22-22-2-2-222−2i2i-22-22-22-22-2-220000−2i2i−2i2i2-2000000000−2i2i0002-20000-22000−2i2i0000−2i2i0000000000000000
χ442-22-222-22-22-2-2-222−2i2i-22-22-22-2-222-20000−2i2i−2i2i2-20000000002i−2i000-2200002-2000−2i2i00002i−2i0000000000000000
χ452-22-2-12-2212-21-2-1-12i−2i1-11-1-2212-2-220−i3i30−ii2i−2i-11003−333−3−302i−2i000-1100001-10−i3i3−ii0000−ii00−i3i3003−300000000
χ462-22-2-12-2212-21-2-1-12i−2i1-11-1-2212-2-220i3−i30−ii2i−2i-1100−33−3−33302i−2i000-1100001-10i3−i3−ii0000−ii00i3−i300−3300000000
χ472-22-2-12-2212-21-2-1-12i−2i1-11-1-221-222-20−i3i30−ii2i−2i-11003−333−3−30−2i2i0001-10000-110−i3i3−ii0000i−i00i3−i300−3300000000
χ482-22-2-12-2212-21-2-1-12i−2i1-11-1-221-222-20i3−i30−ii2i−2i-1100−33−3−3330−2i2i0001-10000-110i3−i3−ii0000i−i00−i3i3003−300000000
χ492-22-2-12-2212-21-2-1-1−2i2i1-11-1-2212-2-220−i3i30i−i−2i2i-1100−33−3−3330−2i2i000-1100001-10−i3i3i−i0000i−i00−i3i300−3300000000
χ502-22-2-12-2212-21-2-1-1−2i2i1-11-1-2212-2-220i3−i30i−i−2i2i-11003−333−3−30−2i2i000-1100001-10i3−i3i−i0000i−i00i3−i3003−300000000
χ512-22-2-12-2212-21-2-1-1−2i2i1-11-1-221-222-20−i3i30i−i−2i2i-1100−33−3−33302i−2i0001-10000-110−i3i3i−i0000−ii00i3−i3003−300000000
χ522-22-2-12-2212-21-2-1-1−2i2i1-11-1-221-222-20i3−i30i−i−2i2i-11003−333−3−302i−2i0001-10000-110i3−i3i−i0000−ii00−i3i300−3300000000
χ5344444-2-4-44-2-24-24-200-2-2-2-422-4000000000000220000000040000-400-2-20000000000002000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2-422-40000000000002200000000-4000040022000000000000-2000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-4-4-444-4400-4-44000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-44400-4-4-444-4400-4-440000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-44-24-4-4-22-424-2002-22-4-2240000000000002-2000000000004i−4i00000000000000000000−2i2i00000000000000
χ644-44-44-24-4-4-22-424-2002-22-4-2240000000000002-200000000000−4i4i000000000000000000002i−2i00000000000000
χ654-44-44-2-44-4-22-424-24i−4i2-2242-2-4000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ664-44-44-2-44-4-22-424-2−4i4i2-2242-2-400000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ674-44-4-244-424-42-4-2-2002-2224-4-24-44-4000000002-200000000000000-220000-22000000000000000000000000000
χ684-44-4-244-424-42-4-2-2002-2224-4-2-44-44000000002-2000000000000002-200002-2000000000000000000000000000
χ694-44-4-2-2-442-2222-214i−4i-11-1-22-2200000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000000i3−i3i−i0000000000000000000000
χ704-44-4-2-2-442-2222-214i−4i-11-1-22-22000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000000−i3i3i−i0000000000000000000000
χ714-44-4-2-2-442-2222-21−4i4i-11-1-22-2200000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000000i3−i3−ii0000000000000000000000
χ724-44-4-2-2-442-2222-21−4i4i-11-1-22-22000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000000−i3i3−ii0000000000000000000000
χ734-4-4444004-44-4-4-44004-4-4000000000000000000000000000000000000−2i22i200000000000000000−2i22i20000000000
χ744-4-4444004-44-4-4-44004-4-40000000000000000000000000000000000002i2−2i2000000000000000002i2−2i20000000000
χ754-4-444-20042-2-42-4-200-2220000000000000000006−6006−66−600000000−2i32i3−2i22i200000000000000000i2−i20000000000
χ764-4-444-20042-2-42-4-200-2220000000000000000006−6006−66−6000000002i3−2i32i2−2i200000000000000000−i2i20000000000
χ774-4-444-20042-2-42-4-200-222000000000000000000−6600−66−6600000000−2i32i32i2−2i200000000000000000−i2i20000000000
χ784-4-444-20042-2-42-4-200-222000000000000000000−6600−66−66000000002i3−2i3−2i22i200000000000000000i2−i20000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8448-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48004-8-8-484-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400444-4-44200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400444-4-44200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-8-4-48-84-4444-4200-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000
χ858-8-88-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-44442002-2-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-400-44-44442002-2-2000000000000000000−2626006−66−600000000000000000000000000000000000000000

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