Finite Group Databasebeta

← Group #11872368

Character table — Group #11872368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444266812121212121224242424242424242244448812121212121266612122466812121212122424242424448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-111-1-1-11-1-111-1-1-1-111-1-1-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111-1-1-11-1-1-1-11111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-11111-1-1-1-1-11-1-1-11-111-1-111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1111-1-11-11111-1-1-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1111-1-1-1-1111-111-1-1111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-20022-2-2220000000000-200000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-200200-2-2-2-22200000000002000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2002222-2-20000000000-2000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-200200-2-222-2-20000000000200000000-22000000
χ2122222-1222-12-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-100222222-1-10000-1-1-1-1-120000-1-1-10000-1-1000000-10
χ2222222-1222-12-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2110000-1-1-1-1-1-2000011100001100000010
χ2322222-1222-12-1-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-2111111002222-2-2-1-10000111-1-1-20000-1-1-100001100000010
χ2422222-1222-12-1-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-211111100-2-2-2-222110000111-1-1200001110000-1-1000000-10
χ2522222-1222-12-1-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-2111111002-2-22-2-2-1-10000-1-1-11120000-111000011000000-10
χ2622222-1222-12-1-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-211111100-222-222110000-1-1-111-200001-1-10000-1-100000010
χ2722222-1222-12-1-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-1002-2-2222-1-1000011111-20000-1110000-1-100000010
χ2822222-1222-12-1-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-100-222-2-2-211000011111200001-1-1000011000000-10
χ292222-1222-12-122-1-122-1-1-12-1-1222222-1-12-1-122-1-1-1-122-1-1-1-12200000000-1-1-1-12-1-1-1-102-1-12000-1-1-1-10000000000
χ302222-1222-12-122-1-122-1-1-12-1-122222-211-2-1-122-1-111-2-211112200000000-1-1-1-1-211-1-10-2-1-1-200011110000000000
χ312222-1222-12-122-1-122-1-1-12-1-12-2-2-2-22-1-12-1-122-1-1-1-122-1-1-1-1-2-20000000011112-1-1-1-10-211-200011110000000000
χ322222-1222-12-122-1-122-1-1-12-1-12-2-2-2-2-211-2-1-122-1-111-2-21111-2-2000000001111-211-1-102112000-1-1-1-10000000000
χ332222-1222-12-122-1-1-2-2-1-1-12-1-1222222-1-1-211-2-2-1-111-2-21111-2-200000000-1-1-1-12-1-1110211-2000-1-1110000000000
χ342222-1222-12-122-1-1-2-2-1-1-12-1-122222-211211-2-2-1-1-1-122-1-1-1-1-2-200000000-1-1-1-1-211110-211200011-1-10000000000
χ352222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2-2-22-1-1-211-2-2-1-111-2-21111220000000011112-1-1110-2-1-1200011-1-10000000000
χ362222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2-2-2-211211-2-2-1-1-1-122-1-1-1-122000000001111-2111102-1-1-2000-1-1110000000000
χ372-22-2222-22-2-2-22-2200-22-2-22-222i−2i2i−2i00000000-22000000000002-2000002i−2i2i−2i000000000002-2000000002i−2i0000
χ382-22-2222-22-2-2-22-2200-22-2-22-222i−2i2i−2i00000000-2200000000000-22000002i−2i2i−2i00000000000-2200000000−2i2i0000
χ392-22-2222-22-2-2-22-2200-22-2-22-22−2i2i−2i2i00000000-22000000000002-200000−2i2i−2i2i000000000002-200000000−2i2i0000
χ402-22-2222-22-2-2-22-2200-22-2-22-22−2i2i−2i2i00000000-2200000000000-2200000−2i2i−2i2i00000000000-22000000002i−2i0000
χ412-22-222-222-2-2-22-222i−2i-22-22-22-22i−2i−2i2i00002i−2i2i−2i2-2000000002-200000000−2i2i2i−2i0002i−2i002-2000000000000000000
χ422-22-222-222-2-2-22-222i−2i-22-22-22-2−2i2i2i−2i00002i−2i2i−2i2-200000000-22000000002i−2i−2i2i0002i−2i00-22000000000000000000
χ432-22-222-222-2-2-22-22−2i2i-22-22-22-22i−2i−2i2i0000−2i2i−2i2i2-200000000-2200000000−2i2i2i−2i000−2i2i00-22000000000000000000
χ442-22-222-222-2-2-22-22−2i2i-22-22-22-2−2i2i2i−2i0000−2i2i−2i2i2-2000000002-2000000002i−2i−2i2i000−2i2i002-2000000000000000000
χ452-22-2-12-22-1-21-221-12i−2i1-1121-1-22i−2i−2i2i0−i3i30−ii2i−2i-113−30033−3−32-200000000i−i−ii0−i3i3−ii00-1100003−3−i3i30000000000
χ462-22-2-12-22-1-21-221-12i−2i1-1121-1-22i−2i−2i2i0i3−i30−ii2i−2i-11−3300−3−3332-200000000i−i−ii0i3−i3−ii00-110000−33i3−i30000000000
χ472-22-2-12-22-1-21-221-12i−2i1-1121-1-2−2i2i2i−2i0−i3i30−ii2i−2i-113−30033−3−3-2200000000−iii−i0−i3i3−ii001-10000−33i3−i30000000000
χ482-22-2-12-22-1-21-221-12i−2i1-1121-1-2−2i2i2i−2i0i3−i30−ii2i−2i-11−3300−3−333-2200000000−iii−i0i3−i3−ii001-100003−3−i3i30000000000
χ492-22-2-12-22-1-21-221-1−2i2i1-1121-1-22i−2i−2i2i0−i3i30i−i−2i2i-11−3300−3−333-2200000000i−i−ii0−i3i3i−i001-100003−3i3−i30000000000
χ502-22-2-12-22-1-21-221-1−2i2i1-1121-1-22i−2i−2i2i0i3−i30i−i−2i2i-113−30033−3−3-2200000000i−i−ii0i3−i3i−i001-10000−33−i3i30000000000
χ512-22-2-12-22-1-21-221-1−2i2i1-1121-1-2−2i2i2i−2i0−i3i30i−i−2i2i-11−3300−3−3332-200000000−iii−i0−i3i3i−i00-110000−33−i3i30000000000
χ522-22-2-12-22-1-21-221-1−2i2i1-1121-1-2−2i2i2i−2i0i3−i30i−i−2i2i-113−30033−3−32-200000000−iii−i0i3−i3i−i00-1100003−3i3−i30000000000
χ5344444-2-4-44-24-2-24-200-2-2-22-4-42000000000000220000000000400-400-2-20000000000000020000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-22-4-42000000000000220000000000-4004002200000000000000-20000000000000000
χ554444-24-4-4-24-244-2-200-2-2-2-422-444-4-4000000002200000000000000000022-2-2000000000000000000000000000
χ564444-24-4-4-24-244-2-200-2-2-2-422-4-4-4440000000022000000000000000000-2-222000000000000000000000000000
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
χ6144-4-44400-44-4-4-444004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ6244-4-44400-44-4-4-444004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ6344-4-44-200-4-2-4224-200-222000000000000000000006−66−66−6000000−2i22i2−2i32i3000000000000000000000i2−i200000000
χ6444-4-44-200-4-2-4224-200-222000000000000000000006−66−66−60000002i2−2i22i3−2i3000000000000000000000−i2i200000000
χ6544-4-44-200-4-2-4224-200-22200000000000000000000−66−66−66000000−2i22i22i3−2i3000000000000000000000i2−i200000000
χ6644-4-44-200-4-2-4224-200-22200000000000000000000−66−66−660000002i2−2i2−2i32i3000000000000000000000−i2i200000000
χ674-44-44-24-442-42-2-4-2002-2224-4-20000000000002-2000000000004-400000000000000000000-2200000000000000
χ684-44-44-24-442-42-2-4-2002-2224-4-20000000000002-200000000000-44000000000000000000002-200000000000000
χ694-44-44-2-4442-42-2-4-24i−4i2-22-2-442000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ704-44-44-2-4442-42-2-4-2−4i4i2-22-2-44200000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ714-44-4-244-4-2-42-442-2002-22-4-2244i−4i4i−4i000000002-2000000000000000000−2i2i−2i2i000000000000000000000000000
χ724-44-4-244-4-2-42-442-2002-22-4-224−4i4i−4i4i000000002-20000000000000000002i−2i2i−2i000000000000000000000000000
χ734-44-4-2-2-44-2222-2214i−4i-11-1-22-2200000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000000i3−i3i−i0000000000000000000000
χ744-44-4-2-2-44-2222-2214i−4i-11-1-22-22000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000000−i3i3i−i0000000000000000000000
χ754-44-4-2-2-44-2222-221−4i4i-11-1-22-2200000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000000i3−i3−ii0000000000000000000000
χ764-44-4-2-2-44-2222-221−4i4i-11-1-22-22000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000000−i3i3−ii0000000000000000000000
χ774-4-444400-4-444-4-4400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-444-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800484-8-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4444-42002-2-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-4444-42002-2-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-8-4-48-8-4444-44200-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000
χ848-8-888-400-848-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-48-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-444200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-40044-4-444200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000

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