Finite Group Databasebeta

← Group #11872491

Character table — Group #11872491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242224448812121212121212121212124466681212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1111-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111111-11111-1-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11-111-1-1-1-111-1-111-111-111-1-1
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-11-1-1-111-1-1-1-11-1-11-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-111-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1111-1-111111-1-11-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11-1-11111-1-111-1-1-111-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-11-1-1-11-11111-1-111-111-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2000022-2-2-2-20000000002000000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-22000022-2-222000000000-2000000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-222-2-20000000002000000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-220000-2-22222000000000-2000000000-20020000
χ2122222-122-1-1222-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-102-1-1-10000000-1-1000000-10
χ2222222-122-1-1222-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-2000011-1-1-1-1-10-211100000001100000010
χ2322222-122-1-1222-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-1-2-2111111222200-2-20000-1-1111-1-10-2-1-1-100000001100000010
χ2422222-122-1-1222-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-1-2-2111111-2-2-2-20022000011111-1-1021110000000-1-1000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-12-12-100002-222-2-211-1-1-2-211111122-2-20022000011-1-1-1110-2-1-110000000-1-100000010
χ2622222-122-1-1222-1-1-2-2-1-1-12-12-100002-222-2-211-1-1-2-2111111-2-22200-2-20000-1-1-1-1-1110211-1000000011000000-10
χ2722222-122-1-1222-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-122-2-200-2-20000111111102-1-11000000011000000-10
χ2822222-122-1-1222-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-1-2-22200220000-1-1111110-211-10000000-1-100000010
χ292222-122222-1-1-12-122-1-1-1-12-12222222-1-1-1-122-1-1-1-122-1-1-1-100002200-1-1-1-1002-1-1-1-1200002-1-1-1-1-1-10000000000
χ302222-122222-1-1-12-122-1-1-1-12-122222-2-211-1-122-1-111-2-2111100002200-1-1-1-100-211-1-1-20000-2-1-111110000000000
χ312222-122222-1-1-12-122-1-1-1-12-12-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10000-2-2001111002-1-1-1-1-20000-21111110000000000
χ322222-122222-1-1-12-122-1-1-1-12-12-2-2-2-2-2-211-1-122-1-111-2-211110000-2-200111100-211-1-120000211-1-1-1-10000000000
χ332222-122222-1-1-12-1-2-2-1-1-1-12-1222222-2-1-111-2-2-1-111-2-211110000-2-200-1-1-1-1002-1-11120000-211-1-1110000000000
χ342222-122222-1-1-12-1-2-2-1-1-1-12-122222-221111-2-2-1-1-1-122-1-1-1-10000-2-200-1-1-1-100-21111-2000021111-1-10000000000
χ352222-122222-1-1-12-1-2-2-1-1-1-12-12-2-2-2-22-2-1-111-2-2-1-111-2-21111000022001111002-1-111-200002-1-111-1-10000000000
χ362222-122222-1-1-12-1-2-2-1-1-1-12-12-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-100002200111100-2111120000-2-1-1-1-1110000000000
χ372-22-2222-2-2-2-22-2222-2-2-22-2-2222i−2i2i−2i00002-22-22-20000000000002i−2i002i−2i2i−2i000002-20000002i−2i00000000000000
χ382-22-2222-2-2-2-22-2222-2-2-22-2-222−2i2i−2i2i00002-22-22-2000000000000−2i2i00−2i2i−2i2i000002-2000000−2i2i00000000000000
χ392-22-2222-2-2-2-22-222-22-2-22-2-2222i−2i2i−2i0000-22-222-2000000000000−2i2i002i−2i2i−2i00000-22000000−2i2i00000000000000
χ402-22-2222-2-2-2-22-222-22-2-22-2-222−2i2i−2i2i0000-22-222-20000000000002i−2i00−2i2i−2i2i00000-220000002i−2i00000000000000
χ412-22-222-22-2-2-22-22200-2-2222-2-22i−2i−2i2i00000000-22000000002-20000002i−2i−2i2i0000000002-2000000000002i−2i00000
χ422-22-222-22-2-2-22-22200-2-2222-2-22i−2i−2i2i00000000-2200000000-220000002i−2i−2i2i000000000-2200000000000−2i2i00000
χ432-22-222-22-2-2-22-22200-2-2222-2-2−2i2i2i−2i00000000-22000000002-2000000−2i2i2i−2i0000000002-200000000000−2i2i00000
χ442-22-222-22-2-2-22-22200-2-2222-2-2−2i2i2i−2i00000000-2200000000-22000000−2i2i2i−2i000000000-22000000000002i−2i00000
χ452-22-2-122-2-2-21-112-12-211-11-2-122i−2i2i−2i003−3-112-2-113−30033−3−300002i−2i00−ii−ii0003−3-11000000−ii−i3i3−i3i30000000000
χ462-22-2-122-2-2-21-112-12-211-11-2-122i−2i2i−2i00−33-112-2-11−3300−3−33300002i−2i00−ii−ii000−33-11000000−iii3−i3i3−i30000000000
χ472-22-2-122-2-2-21-112-12-211-11-2-12−2i2i−2i2i003−3-112-2-113−30033−3−30000−2i2i00i−ii−i0003−3-11000000i−ii3−i3i3−i30000000000
χ482-22-2-122-2-2-21-112-12-211-11-2-12−2i2i−2i2i00−33-112-2-11−3300−3−3330000−2i2i00i−ii−i000−33-11000000i−i−i3i3−i3i30000000000
χ492-22-2-122-2-2-21-112-1-2211-11-2-122i−2i2i−2i003−31-1-22-11−3300−3−3330000−2i2i00−ii−ii0003−31-1000000i−i−i3i3i3−i30000000000
χ502-22-2-122-2-2-21-112-1-2211-11-2-122i−2i2i−2i00−331-1-22-113−30033−3−30000−2i2i00−ii−ii000−331-1000000i−ii3−i3−i3i30000000000
χ512-22-2-122-2-2-21-112-1-2211-11-2-12−2i2i−2i2i003−31-1-22-11−3300−3−33300002i−2i00i−ii−i0003−31-1000000−iii3−i3−i3i30000000000
χ522-22-2-122-2-2-21-112-1-2211-11-2-12−2i2i−2i2i00−331-1-22-113−30033−3−300002i−2i00i−ii−i000−331-1000000−ii−i3i3i3−i30000000000
χ5344444-2-4-4-2-2444-2-200-2-2-2-42-420000000000002200000000004-40000000022000000000-200000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2-42-42000000000000220000000000-4400000000-2-2000000000200000000000000000
χ554444-24-4-444-2-2-24-200-2-2-22-42-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-22-42-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-444-4-4-4400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ6244-4-44400-444-4-4-4400-44-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ6344-4-44-2002-24-4-42-2002-22000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ6444-4-44-2002-24-4-42-2002-22000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ6544-4-44-2002-24-4-42-2002-2200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ6644-4-44-2002-24-4-42-2002-2200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ674-44-44-24-422-44-4-2-24-422-2-424-2000000004-4-22-220000000000000000000000000-220000000000000000000000
χ684-44-44-24-422-44-4-2-2-4422-2-424-200000000-442-2-2200000000000000000000000002-20000000000000000000000
χ694-44-44-2-4422-44-4-2-20022-24-2-420000000000002-2000000004-40000000000000000000-22000000000000000000
χ704-44-44-2-4422-44-4-2-20022-24-2-420000000000002-200000000-4400000000000000000002-2000000000000000000
χ714-44-4-24-44-4-42-224-20022-2-242-44i−4i−4i4i000000002-20000000000000000−2i2i2i−2i00000000000000000000000000000
χ724-44-4-24-44-4-42-224-20022-2-242-4−4i4i4i−4i000000002-200000000000000002i−2i−2i2i00000000000000000000000000000
χ734-44-4-2-24-4222-22-214-4-1-1122-2-200000023−23-22-221-123−2300−3−333000000000000000−331-10000000000000000000000
χ744-44-4-2-24-4222-22-214-4-1-1122-2-2000000−2323-22-221-1−23230033−3−30000000000000003−31-10000000000000000000000
χ754-44-4-2-24-4222-22-21-44-1-1122-2-200000023−232-22-21-1−23230033−3−3000000000000000−33-110000000000000000000000
χ764-44-4-2-24-4222-22-21-44-1-1122-2-2000000−23232-22-21-123−2300−3−3330000000000000003−3-110000000000000000000000
χ774-4-4444004-4-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-4444004-4-4-44-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-4444200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-8-4-4-88444-44-4200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000
χ848-8-888-400-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48008-844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4444-442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400-4444-442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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