Finite Group Databasebeta

← Group #11866141

Character table — Group #11866141

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212224444481212121212121212242424242424242444444661212121212121212124424881212121212121224242424224628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-111111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-111-1-111-1-11111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-1-1-11-1-11-111-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-111-1-111111-1-11-1-111-1-111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-111-1-1-1-1-111-11-1-1111111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-11-1-1-11111-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-11-11-1111-1-1-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-111-11111-1-11111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-200000000-200002222-2-200000-2-20000-20000000000002000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-2000002200002000000000000-2000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-200000000-20000-2-2222200000220000-2000000000000-2000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-2-2-22200000-2-2000020000000000002000
χ2122222-1222-1-12-12-122-1-1-1-12-120000222222-1-122-1-122-1-1-1-1-1-12002200-1-100-1-1-1-1-1002002-100-1-10000-1-1000-100
χ2222222-1222-1-12-12-122-1-1-1-12-12000022-2-222-1-1-2-2-1-1-2-21111112002200-1-1001-1-11100-200-2-100-1-1000011000100
χ2322222-1222-1-12-12-122-1-1-1-12-120000-2-22222-1-122-1-122-1-1-1-1-1-1-200-2-2001100-1-1-1-1-100-200-210011000011000100
χ2422222-1222-1-12-12-122-1-1-1-12-120000-2-2-2-222-1-1-2-2-1-1-2-2111111-200-2-20011001-1-111002002100110000-1-1000-100
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-120000222-2-2-21122-1-1-2-2111111200-2-200-1-100-111-1-100200-2-10011000011000-100
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-12000022-22-2-211-2-2-1-122-1-1-1-1-1-1200-2-200-1-1001111100-2002-100110000-1-1000100
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-120000-2-22-2-2-21122-1-1-2-2111111-20022001100-111-1-100-2002100-1-10000-1-1000100
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-120000-2-2-22-2-211-2-2-1-122-1-1-1-1-1-1-200220011001111100200-2100-1-1000011000-100
χ292222-1222-122-12-1-122-1-1-12-12-122220022-1-122-1-1-1-1-1-122-1-1-1-102200-1-100-1-12-1-1-1-10002200-1-100-1-1-1-100000000
χ302222-1222-122-12-1-122-1-1-12-12-1222200-2-2-1-12211-1-111-2-2111102200-1-100-1-1-2-1-111000-2-200-1-100111100000000
χ312222-1222-122-12-1-122-1-1-12-12-1-2-2-2-20022-1-122-1-1-1-1-1-122-1-1-1-10-2-2001100112-1-1-1-1000-2-2001100111100000000
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-2-200-2-2-1-12211-1-111-2-211110-2-200110011-2-1-11100022001100-1-1-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-12-12-12222002-211-2-2-1-1-1-111-2-211110-2-200-1-100-1-1211-1-10002-2001100-1-11100000000
χ342222-1222-122-12-1-1-2-2-1-1-12-12-1222200-2211-2-211-1-1-1-122-1-1-1-10-2-200-1-100-1-1-21111000-2200110011-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-2002-211-2-2-1-1-1-111-2-2111102200110011211-1-1000-2200-1-10011-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-200-2211-2-211-1-1-1-122-1-1-1-102200110011-211110002-200-1-100-1-11100000000
χ372-22-2222-2-2-2-2-22222i−2i-2-2222-2-22-22-200002i−2i2i−2i002-20000000002i−2i002-2002-202i−2i0000000002i−2i00000000000000
χ382-22-2222-2-2-2-2-22222i−2i-2-2222-2-2-22-2200002i−2i2i−2i002-2000000000−2i2i00-2200-2202i−2i000000000−2i2i00000000000000
χ392-22-2222-2-2-2-2-2222−2i2i-2-2222-2-22-22-20000−2i2i−2i2i002-2000000000−2i2i002-2002-20−2i2i000000000−2i2i00000000000000
χ402-22-2222-2-2-2-2-2222−2i2i-2-2222-2-2-22-220000−2i2i−2i2i002-20000000002i−2i00-2200-220−2i2i0000000002i−2i00000000000000
χ412-22-222-22-2-2-2-222200-2-22-2-2222-2-220000000000-22000000000002-22-200-22000000000000002-20000002-20000
χ422-22-222-22-2-2-2-222200-2-22-2-2222-2-220000000000-2200000000000-222-200-2200000000000000-22000000-220000
χ432-22-222-22-2-2-2-222200-2-22-2-222-222-20000000000-22000000000002-2-22002-2000000000000002-2000000-220000
χ442-22-222-22-2-2-2-222200-2-22-2-222-222-20000000000-2200000000000-22-22002-200000000000000-220000002-20000
χ452-22-2-122-21-2-212-1-12i−2i11-12-1-212-22-20000−ii2i−2i−i3i3-113−30033−3−302i−2i00-1100-110−ii−i3i30000000−ii00−i3i33−300000000
χ462-22-2-122-21-2-212-1-12i−2i11-12-1-212-22-20000−ii2i−2ii3−i3-11−3300−3−33302i−2i00-1100-110−iii3−i30000000−ii00i3−i3−3300000000
χ472-22-2-122-21-2-212-1-12i−2i11-12-1-21-22-220000−ii2i−2i−i3i3-113−30033−3−30−2i2i001-1001-10−ii−i3i30000000i−i00i3−i3−3300000000
χ482-22-2-122-21-2-212-1-12i−2i11-12-1-21-22-220000−ii2i−2ii3−i3-11−3300−3−3330−2i2i001-1001-10−iii3−i30000000i−i00−i3i33−300000000
χ492-22-2-122-21-2-212-1-1−2i2i11-12-1-212-22-20000i−i−2i2i−i3i3-11−3300−3−3330−2i2i00-1100-110i−i−i3i30000000i−i00−i3i3−3300000000
χ502-22-2-122-21-2-212-1-1−2i2i11-12-1-212-22-20000i−i−2i2ii3−i3-113−30033−3−30−2i2i00-1100-110i−ii3−i30000000i−i00i3−i33−300000000
χ512-22-2-122-21-2-212-1-1−2i2i11-12-1-21-22-220000i−i−2i2i−i3i3-11−3300−3−33302i−2i001-1001-10i−i−i3i30000000−ii00i3−i33−300000000
χ522-22-2-122-21-2-212-1-1−2i2i11-12-1-21-22-220000i−i−2i2ii3−i3-113−30033−3−302i−2i001-1001-10i−ii3−i30000000−ii00−i3i3−3300000000
χ5344444-2-4-44-2-24-24-200-2-2-22-42-4000044000000002200000000-4000000-2-2000000000000020000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-42-40000-4-40000000022000000004000000220000000000000-20000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-42-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-2-42-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
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
χ6144-4-444004-44-4-4-4400-44-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-444004-44-4-4-4400-44-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-44-20042-2-42-4-2002-22000000004i−4i0000000000006−66−66−60000000−2i2i0000000000000000000000i6−i6000000
χ6444-4-44-20042-2-42-4-2002-22000000004i−4i000000000000−66−66−660000000−2i2i0000000000000000000000−i6i6000000
χ6544-4-44-20042-2-42-4-2002-2200000000−4i4i0000000000006−66−66−600000002i−2i0000000000000000000000−i6i6000000
χ6644-4-44-20042-2-42-4-2002-2200000000−4i4i000000000000−66−66−6600000002i−2i0000000000000000000000i6−i6000000
χ674-44-44-24-4-422-4-24-24i−4i22-2-242-4000000004i−4i−2i2i00-2200000000000000000000−2i2i0000000000000000000000000
χ684-44-44-24-4-422-4-24-2−4i4i22-2-242-400000000−4i4i2i−2i00-22000000000000000000002i−2i0000000000000000000000000
χ694-44-44-2-44-422-4-24-20022-22-4-24000000000000002-2000000000004-400000000000000000000-22000000000000
χ704-44-44-2-44-422-4-24-20022-22-4-24000000000000002-200000000000-44000000000000000000002-2000000000000
χ714-44-4-24-442-4-424-2-20022-2-424-24-4-4400000000002-20000000000000-22002-20000000000000000000000000000
χ724-44-4-24-442-4-424-2-20022-2-424-2-444-400000000002-200000000000002-200-220000000000000000000000000000
χ734-44-4-2-24-42222-2-214i−4i-1-11-2-22200000000−2i2i−2i2i−2i32i31-123−2300−3−333000000000000i−ii3−i300000000000000000000000
χ744-44-4-2-24-42222-2-214i−4i-1-11-2-22200000000−2i2i−2i2i2i3−2i31-1−23230033−3−3000000000000i−i−i3i300000000000000000000000
χ754-44-4-2-24-42222-2-21−4i4i-1-11-2-222000000002i−2i2i−2i−2i32i31-1−23230033−3−3000000000000−iii3−i300000000000000000000000
χ764-44-4-2-24-42222-2-21−4i4i-1-11-2-222000000002i−2i2i−2i2i3−2i31-123−2300−3−333000000000000−ii−i3i300000000000000000000000
χ774-4-444400-44-44-4-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ784-4-444400-44-44-4-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-4-884-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444200-22-2000000000000000000000026−26−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444200-22-20000000000000000000000−26266−66−6000000000000000000000000000000000000000
χ838-88-8-4-4-884444-4-4200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ848-8-888-400-8-4484-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480048-8-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-4442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-4004-44-4442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000

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