Finite Group Databasebeta

← Group #11865883

Character table — Group #11865883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212224444266812121212121224242424242424242244466121212126661212444466881212121212242424242241228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-11111-1-11111111-1-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-111111-1-1-1111-111-1-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11-1111-11-1-11111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-11
χ11111111111111111-1-111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-11-111-11-1-1-111-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-1-1-11-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-11-1-11-1111-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-1-1-11-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-11111-111-1-11111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-20000022000000-20000000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000200000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-2000000-200000000002000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-222000002200000020000000000-2000
χ2122222-1222-1-1-122-122-1-1-1-12-120000222222-1-122-1-122-1-1-1-1-1-12220000-1-100-1-1-1-1-10002-1-102-1000000-1-1000-100
χ2222222-1222-1-1-122-122-1-1-1-12-12000022-2-2-2-2-1-122-1-1-2-21111112220000-1-100111-1-1000-2-1-10-2-100000011000100
χ2322222-1222-1-1-122-122-1-1-1-12-120000-2-22222-1-122-1-122-1-1-1-1-1-1-2-2-200001100-1-1-1-1-1000-2110-2100000011000100
χ2422222-1222-1-1-122-122-1-1-1-12-120000-2-2-2-2-2-2-1-122-1-1-2-2111111-2-2-200001100111-1-1000211021000000-1-1000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-12000022222-211-2-2-1-1-2-2111111-2-220000-1-100-1-1-1110002110-2-100000011000-100
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-12000022-2-2-2211-2-2-1-122-1-1-1-1-1-1-2-220000-1-10011111000-21102-1000000-1-1000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-120000-2-2222-211-2-2-1-1-2-211111122-200001100-1-1-111000-2-1-1021000000-1-1000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-120000-2-2-2-2-2211-2-2-1-122-1-1-1-1-1-122-200001100111110002-1-10-2100000011000-100
χ292222-1222-1222-1-1-122-1-1-12-12-12222002-1-1222-1-1-1-1-1-122-1-1-1-100022-1-100-1-12-1-1-1-1002000200-1-1-1-1-1-100000000
χ302222-1222-1222-1-1-122-1-1-12-12-1222200-211-222-1-1-1-111-2-2111100022-1-100-1-1-211-1-100-2000-200-1-1111100000000
χ312222-1222-1222-1-1-122-1-1-12-12-1-2-2-2-2002-1-1222-1-1-1-1-1-122-1-1-1-1000-2-21100112-1-1-1-100-2000-20011111100000000
χ322222-1222-1222-1-1-122-1-1-12-12-1-2-2-2-200-211-222-1-1-1-111-2-21111000-2-2110011-211-1-100200020011-1-1-1-100000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-12222002-1-1-2-2-211-1-111-2-21111000-2-2-1-100-1-12-1-111002000-20011-1-11100000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-1222200-2112-2-211-1-1-1-122-1-1-1-1000-2-2-1-100-1-1-2111100-20002001111-1-100000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-2-2-2002-1-1-2-2-211-1-111-2-21111000221100112-1-11100-2000200-1-111-1-100000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-2-2-200-2112-2-211-1-1-1-122-1-1-1-100022110011-21111002000-200-1-1-1-11100000000
χ372-22-2222-2-2-2-22-2222i−2i-22-222-2-22-22-20000002i−2i2i−2i2-2000000000002i−2i2-2002-20002i−2i0000000002i−2i000000000000
χ382-22-2222-2-2-2-22-2222i−2i-22-222-2-2-22-220000002i−2i2i−2i2-200000000000−2i2i-2200-220002i−2i000000000−2i2i000000000000
χ392-22-2222-2-2-2-22-222−2i2i-22-222-2-22-22-2000000−2i2i−2i2i2-200000000000−2i2i2-2002-2000−2i2i000000000−2i2i000000000000
χ402-22-2222-2-2-2-22-222−2i2i-22-222-2-2-22-22000000−2i2i−2i2i2-2000000000002i−2i-2200-22000−2i2i0000000002i−2i000000000000
χ412-22-222-22-2-2-22-22200-22-2-2-2222-2-220000000000-22000000002-20002-200-220000000002-2000000000002-20000
χ422-22-222-22-2-2-22-22200-22-2-2-2222-2-220000000000-2200000000-220002-200-22000000000-2200000000000-220000
χ432-22-222-22-2-2-22-22200-22-2-2-222-222-20000000000-22000000002-2000-22002-20000000002-200000000000-220000
χ442-22-222-22-2-2-22-22200-22-2-2-222-222-20000000000-2200000000-22000-22002-2000000000-22000000000002-20000
χ452-22-2-122-21-2-221-1-12i−2i1-112-1-212-22-2000−i3i302i−2i−ii-113−30033−3−30002i−2i-1100-110−i3i3−ii000000000−ii−i3i33−300000000
χ462-22-2-122-21-2-221-1-12i−2i1-112-1-212-22-2000i3−i302i−2i−ii-11−3300−3−3330002i−2i-1100-110i3−i3−ii000000000−iii3−i3−3300000000
χ472-22-2-122-21-2-221-1-12i−2i1-112-1-21-22-22000−i3i302i−2i−ii-113−30033−3−3000−2i2i1-1001-10−i3i3−ii000000000i−ii3−i3−3300000000
χ482-22-2-122-21-2-221-1-12i−2i1-112-1-21-22-22000i3−i302i−2i−ii-11−3300−3−333000−2i2i1-1001-10i3−i3−ii000000000i−i−i3i33−300000000
χ492-22-2-122-21-2-221-1-1−2i2i1-112-1-212-22-2000−i3i30−2i2ii−i-11−3300−3−333000−2i2i-1100-110−i3i3i−i000000000i−i−i3i3−3300000000
χ502-22-2-122-21-2-221-1-1−2i2i1-112-1-212-22-2000i3−i30−2i2ii−i-113−30033−3−3000−2i2i-1100-110i3−i3i−i000000000i−ii3−i33−300000000
χ512-22-2-122-21-2-221-1-1−2i2i1-112-1-21-22-22000−i3i30−2i2ii−i-11−3300−3−3330002i−2i1-1001-10−i3i3i−i000000000−iii3−i33−300000000
χ522-22-2-122-21-2-221-1-1−2i2i1-112-1-21-22-22000i3−i30−2i2ii−i-113−30033−3−30002i−2i1-1001-10i3−i3i−i000000000−ii−i3i3−3300000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-400004400000000220000000000-40000-2-2000000000000000200000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-40000-4-4000000002200000000004000022000000000000000-200000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2-42-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-2-42-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
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
χ6144-4-4440044-4-4-4-44004-4-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-44-2004-222-4-4-200-222000000004i−4i0000000000006−66−66−60000000−2i2i0000000000000000000000i6−i6000000
χ6444-4-44-2004-222-4-4-200-222000000004i−4i000000000000−66−66−660000000−2i2i0000000000000000000000−i6i6000000
χ6544-4-44-2004-222-4-4-200-22200000000−4i4i0000000000006−66−66−600000002i−2i0000000000000000000000−i6i6000000
χ6644-4-44-2004-222-4-4-200-22200000000−4i4i000000000000−66−66−6600000002i−2i0000000000000000000000i6−i6000000
χ674-44-44-24-4-422-2-44-24i−4i2-22-242-40000000000−2i2i4i−4i-220000000000000000000000−2i2i00000000000000000000000
χ684-44-44-24-4-422-2-44-2−4i4i2-22-242-400000000002i−2i−4i4i-2200000000000000000000002i−2i00000000000000000000000
χ694-44-44-2-44-422-2-44-2002-222-4-24000000000000002-2000000004-4000000000000000000-2200000000000000000
χ704-44-44-2-44-422-2-44-2002-222-4-24000000000000002-200000000-440000000000000000002-200000000000000000
χ714-44-4-24-442-4-442-2-2002-22-424-24-4-4400000000002-20000000000000-22002-20000000000000000000000000000
χ724-44-4-24-442-4-442-2-2002-22-424-2-444-400000000002-200000000000002-200-220000000000000000000000000000
χ734-44-4-2-24-4222-22-214i−4i-11-1-2-2220000000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000i3−i3i−i00000000000000000000000
χ744-44-4-2-24-4222-22-214i−4i-11-1-2-22200000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000−i3i3i−i00000000000000000000000
χ754-44-4-2-24-4222-22-21−4i4i-11-1-2-2220000000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000i3−i3−ii00000000000000000000000
χ764-44-4-2-24-4222-22-21−4i4i-11-1-2-22200000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000−i3i3−ii00000000000000000000000
χ774-4-444400-4-44-44-4400-4-44000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-444400-4-44-44-4400-4-4400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-8-844-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2000000000000000000000026−26−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-20000000000000000000000−26266−66−6000000000000000000000000000000000000000
χ838-88-8-4-4-88444-44-4200-22-244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ848-8-888-400-84-448-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-88-8-44-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-44200-2-2200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-40044-44-44200-2-22000000000000000000000000−323232−32000000000000000000000000000000000000000

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