Finite Group Databasebeta

← Group #11872513

Character table — Group #11872513

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242422444488121212121212121212121244668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1111-1-1-1-1-1-11-1-11-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111-11-1-1-111-111-1-111-111-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-111111-1-1111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1111-1-11-1-111-1-1-111-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1111-1-1-11111111-1-11-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-111-111-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11-1-11111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2000022-2-222000000000000-2000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-22000022-2-2-2-20000000000002000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-22222000000000000-2000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-220000-2-222-2-20000000000002000000-20020000
χ2122222-122-122-1-12-122-1-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-122000000-1-1-1-1002-1-1-1-102-1-12-1-1000-1-10000000000
χ2222222-122-122-1-12-122-1-1-12-1-122222-2-222-1-111-1-111-2-2111122000000-1-1-1-100-2-1-1110-2-1-1-211000110000000000
χ2322222-122-122-1-12-122-1-1-12-1-12-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-20000001111002-1-1-1-10-211-211000110000000000
χ2422222-122-122-1-12-122-1-1-12-1-12-2-2-2-2-2-222-1-111-1-111-2-21111-2-2000000111100-2-1-11102112-1-1000-1-10000000000
χ2522222-122-122-1-12-1-2-2-1-1-12-1-1222222-2-2-211-1-1-1-111-2-21111-2-2000000-1-1-1-100211-1-10211-2-1-1000110000000000
χ2622222-122-122-1-12-1-2-2-1-1-12-1-122222-22-2-21111-1-1-1-122-1-1-1-1-2-2000000-1-1-1-100-211110-211211000-1-10000000000
χ2722222-122-122-1-12-1-2-2-1-1-12-1-12-2-2-2-22-2-2-211-1-1-1-111-2-2111122000000111100211-1-10-2-1-1211000-1-10000000000
χ2822222-122-122-1-12-1-2-2-1-1-12-1-12-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-122000000111100-2111102-1-1-2-1-1000110000000000
χ292222-12222-1-122-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-1002222220000-1-1-1-1-1-1-12000000-1-1-100-1-1000000-10
χ302222-12222-1-122-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-100-2-2-2-2-2-2000011-1-1-1-1-1-2000000111001100000010
χ312222-12222-1-122-1-122-1-1-1-122-10000-2-2-1-122-2-2-1-1-2-2111111002222-2-20000-1-11-1-111-2000000-1-1-1001100000010
χ322222-12222-1-122-1-122-1-1-1-122-10000-2-2-1-122-2-2-1-1-2-211111100-2-2-2-2220000111-1-111200000011100-1-1000000-10
χ332222-12222-1-122-1-1-2-2-1-1-1-122-100002-211-2-222-1-1-2-21111110022-2-2-2-20000-1-1-111-1-12000000-1110011000000-10
χ342222-12222-1-122-1-1-2-2-1-1-1-122-100002-211-2-222-1-1-2-211111100-2-22222000011-111-1-1-20000001-1-100-1-100000010
χ352222-12222-1-122-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-10022-2-2220000-1-111111-2000000-11100-1-100000010
χ362222-12222-1-122-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-100-2-222-2-20000111111120000001-1-10011000000-10
χ372-2-22222-2-22-22-2-222i−2i-22-2-22-222i−2i2i−2i002i−2i2i−2i00-22000000002-20000002i−2i2i−2i0002i−2i00002-2000000000000000000
χ382-2-22222-2-22-22-2-222i−2i-22-2-22-22−2i2i−2i2i002i−2i2i−2i00-2200000000-22000000−2i2i−2i2i0002i−2i0000-22000000000000000000
χ392-2-22222-2-22-22-2-22−2i2i-22-2-22-222i−2i2i−2i00−2i2i−2i2i00-2200000000-220000002i−2i2i−2i000−2i2i0000-22000000000000000000
χ402-2-22222-2-22-22-2-22−2i2i-22-2-22-22−2i2i−2i2i00−2i2i−2i2i00-22000000002-2000000−2i2i−2i2i000−2i2i00002-2000000000000000000
χ412-2-2222-22-22-22-2-2200-22-22-22-22i−2i−2i2i000000002-20000000000002-2002i−2i−2i2i0000000000000002-2000002i−2i00000
χ422-2-2222-22-22-22-2-2200-22-22-22-22i−2i−2i2i000000002-2000000000000-22002i−2i−2i2i000000000000000-2200000−2i2i00000
χ432-2-2222-22-22-22-2-2200-22-22-22-2−2i2i2i−2i000000002-20000000000002-200−2i2i2i−2i0000000000000002-200000−2i2i00000
χ442-2-2222-22-22-22-2-2200-22-22-22-2−2i2i2i−2i000000002-2000000000000-2200−2i2i2i−2i000000000000000-22000002i−2i00000
χ452-2-222-12-212-2-11-2-12i−2i1-11-2-1122i−2i2i−2i002i−2i−ii3−31-1−i3i300−i3−i3i3i32-2000000−ii−ii000−ii3−300-110−i3i30003−30000000000
χ462-2-222-12-212-2-11-2-12i−2i1-11-2-1122i−2i2i−2i002i−2i−ii−331-1i3−i300i3i3−i3−i32-2000000−ii−ii000−ii−3300-110i3−i3000−330000000000
χ472-2-222-12-212-2-11-2-12i−2i1-11-2-112−2i2i−2i2i002i−2i−ii3−31-1−i3i300−i3−i3i3i3-22000000i−ii−i000−ii3−3001-10i3−i3000−330000000000
χ482-2-222-12-212-2-11-2-12i−2i1-11-2-112−2i2i−2i2i002i−2i−ii−331-1i3−i300i3i3−i3−i3-22000000i−ii−i000−ii−33001-10−i3i30003−30000000000
χ492-2-222-12-212-2-11-2-1−2i2i1-11-2-1122i−2i2i−2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i3-22000000−ii−ii000i−i3−3001-10−i3i3000−330000000000
χ502-2-222-12-212-2-11-2-1−2i2i1-11-2-1122i−2i2i−2i00−2i2ii−i−331-1−i3i300−i3−i3i3i3-22000000−ii−ii000i−i−33001-10i3−i30003−30000000000
χ512-2-222-12-212-2-11-2-1−2i2i1-11-2-112−2i2i−2i2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i32-2000000i−ii−i000i−i3−300-110i3−i30003−30000000000
χ522-2-222-12-212-2-11-2-1−2i2i1-11-2-112−2i2i−2i2i00−2i2ii−i−331-1−i3i300−i3−i3i3i32-2000000i−ii−i000i−i−3300-110−i3i3000−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-22-4-420000000000002200000000004-400000000-2-2000000000000200000000000000
χ564444-24-4-44-2-244-2-200-2-2-22-4-42000000000000220000000000-440000000022000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-4-4-4-444004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-444004-4-4-4-444004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44400-4-44-44-4400-4-4400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ644-44-44400-4-44-44-4400-4-44000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ654-44-4-2400-42-2-442-20022-200000000000000000000i6−i6i6−i6i6−i6000000−2i22i2000023−2300000000000000000i2−i200000000
χ664-44-4-2400-42-2-442-20022-200000000000000000000i6−i6i6−i6i6−i60000002i2−2i20000−232300000000000000000−i2i200000000
χ674-44-4-2400-42-2-442-20022-200000000000000000000−i6i6−i6i6−i6i6000000−2i22i20000−232300000000000000000i2−i200000000
χ684-44-4-2400-42-2-442-20022-200000000000000000000−i6i6−i6i6−i6i60000002i2−2i2000023−2300000000000000000−i2i200000000
χ694-4-444-2-4424-4-22-4-2002-2242-2-44i−4i−4i4i00000000-220000000000000000−2i2i2i−2i00000000000000000000000000000
χ704-4-444-2-4424-4-22-4-2002-2242-2-4−4i4i4i−4i00000000-2200000000000000002i−2i−2i2i00000000000000000000000000000
χ714-4-44-244-4-4-224-42-24i−4i2-2224-4-2000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ724-4-44-244-4-4-224-42-2−4i4i2-2224-4-20000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ734-4-44-24-44-4-224-42-2002-22-2-442000000000000-220000000000004-4000000000000000000000-22000000000000
χ744-4-44-24-44-4-224-42-2002-22-2-442000000000000-22000000000000-440000000000000000000002-2000000000000
χ754-4-44-2-24-42-22-22214i−4i-11-12-22-2000000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ764-4-44-2-24-42-22-22214i−4i-11-12-22-2000000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ774-4-44-2-24-42-22-2221−4i4i-11-12-22-20000002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ784-4-44-2-24-42-22-2221−4i4i-11-12-22-20000002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-4-8-8448-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800844-8-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-42002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400-44444-42002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-88-4004-884-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-884-44-444200-22-2-44-440000000000002-20000000000000000000000000000000000000000000000000

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