Finite Group Databasebeta

← Group #11872533

Character table — Group #11872533

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242422444488121212121212121212121244668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111111-11-1-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-111111111-111-11-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-111111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1111-1-1-1-111-1-111-111-111-1-1
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-11-1-111-1-1-1-11-1-11-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-111-1-1-111
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
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1111-111-1-111111-1-11-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-11111-1-111-1-1-111-1111-1
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
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1-111111-1-111-111-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2000022-2-2-2-20000000000200000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-22000022-2-2220000000000-200000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-222-2-20000000000200000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-220000-2-222220000000000-200000000-20020000
χ2122222-122-122-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-120-1-10-1000000-1-1000000-10
χ2222222-122-122-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-2000011-1-1-1-1-1-2011010000001100000010
χ2322222-122-122-1-12-122-1-1-1-122-10000-2-222-2-2-1-1-1-1-2-2111111222200-2-20000-1-11-1-111-20-1-10-10000001100000010
χ2422222-122-122-1-12-122-1-1-1-122-10000-2-222-2-2-1-1-1-1-2-2111111-2-2-2-200220000111-1-111201101000000-1-1000000-10
χ2522222-122-122-1-12-1-2-2-1-1-1-122-100002-2-2-22211-1-1-2-211111122-2-20022000011-111-1-1-20-1-101000000-1-100000010
χ2622222-122-122-1-12-1-2-2-1-1-1-122-100002-2-2-22211-1-1-2-2111111-2-22200-2-20000-1-1-111-1-120110-100000011000000-10
χ2722222-122-122-1-12-1-2-2-1-1-1-122-10000-22-2-2-2-211-1-122-1-1-1-1-1-122-2-200-2-20000111111120-1-10100000011000000-10
χ2822222-122-122-1-12-1-2-2-1-1-1-122-10000-22-2-2-2-211-1-122-1-1-1-1-1-1-2-22200220000-1-111111-20110-1000000-1-100000010
χ292222-12222-1-122-1-122-1-1-12-1-12222222-1-1-1-122-1-1-1-122-1-1-1-100002200-1-1-1-1002-1-1-1-1020020-1-1-1-1-1-10000000000
χ302222-12222-1-122-1-122-1-1-12-1-122222-2-2-1-11122-1-111-2-2111100002200-1-1-1-100-2-1-1110-200-20-1-111110000000000
χ312222-12222-1-122-1-122-1-1-12-1-12-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10000-2-2001111002-1-1-1-10-200-201111110000000000
χ322222-12222-1-122-1-122-1-1-12-1-12-2-2-2-2-2-2-1-11122-1-111-2-211110000-2-200111100-2-1-11102002011-1-1-1-10000000000
χ332222-12222-1-122-1-1-2-2-1-1-12-1-1222222-211-1-1-2-2-1-111-2-211110000-2-200-1-1-1-100211-1-10200-2011-1-1110000000000
χ342222-12222-1-122-1-1-2-2-1-1-12-1-122222-221111-2-2-1-1-1-122-1-1-1-10000-2-200-1-1-1-100-211110-200201111-1-10000000000
χ352222-12222-1-122-1-1-2-2-1-1-12-1-12-2-2-2-22-211-1-1-2-2-1-111-2-2111100002200111100211-1-10-20020-1-111-1-10000000000
χ362222-12222-1-122-1-1-2-2-1-1-12-1-12-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-100002200111100-211110200-20-1-1-1-1110000000000
χ372-2-22222-22-2-2-2-2222i−2i2-2-2-22-222i−2i2i−2i002i−2i002i−2i-220000000000002-2002i−2i2i−2i0002i−2i000000002-200000000000000
χ382-2-22222-22-2-2-2-2222i−2i2-2-2-22-22−2i2i−2i2i002i−2i002i−2i-22000000000000-2200−2i2i−2i2i0002i−2i00000000-2200000000000000
χ392-2-22222-22-2-2-2-222−2i2i2-2-2-22-222i−2i2i−2i00−2i2i00−2i2i-22000000000000-22002i−2i2i−2i000−2i2i00000000-2200000000000000
χ402-2-22222-22-2-2-2-222−2i2i2-2-2-22-22−2i2i−2i2i00−2i2i00−2i2i-220000000000002-200−2i2i−2i2i000−2i2i000000002-200000000000000
χ412-2-2222-222-2-2-2-222002-2-22-22-22i−2i−2i2i000000002-2000000002-20000002i−2i−2i2i0000000002-2000000000002i−2i00000
χ422-2-2222-222-2-2-2-222002-2-22-22-22i−2i−2i2i000000002-200000000-220000002i−2i−2i2i000000000-2200000000000−2i2i00000
χ432-2-2222-222-2-2-2-222002-2-22-22-2−2i2i2i−2i000000002-2000000002-2000000−2i2i2i−2i0000000002-200000000000−2i2i00000
χ442-2-2222-222-2-2-2-222002-2-22-22-2−2i2i2i−2i000000002-200000000-22000000−2i2i2i−2i000000000-22000000000002i−2i00000
χ452-2-22-122-2211-2-2-1-12i−2i-111-2-1122i−2i2i−2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i300002-200−ii−ii000−ii3−3000000-11−i3i33−30000000000
χ462-2-22-122-2211-2-2-1-12i−2i-111-2-1122i−2i2i−2i00−ii−332i−2i1-1i3−i300i3i3−i3−i300002-200−ii−ii000−ii−33000000-11i3−i3−330000000000
χ472-2-22-122-2211-2-2-1-12i−2i-111-2-112−2i2i−2i2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i30000-2200i−ii−i000−ii3−30000001-1i3−i3−330000000000
χ482-2-22-122-2211-2-2-1-12i−2i-111-2-112−2i2i−2i2i00−ii−332i−2i1-1i3−i300i3i3−i3−i30000-2200i−ii−i000−ii−330000001-1−i3i33−30000000000
χ492-2-22-122-2211-2-2-1-1−2i2i-111-2-1122i−2i2i−2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i30000-2200−ii−ii000i−i3−30000001-1−i3i3−330000000000
χ502-2-22-122-2211-2-2-1-1−2i2i-111-2-1122i−2i2i−2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i30000-2200−ii−ii000i−i−330000001-1i3−i33−30000000000
χ512-2-22-122-2211-2-2-1-1−2i2i-111-2-112−2i2i−2i2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i300002-200i−ii−i000i−i3−3000000-11i3−i33−30000000000
χ522-2-22-122-2211-2-2-1-1−2i2i-111-2-112−2i2i−2i2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i300002-200i−ii−i000i−i−33000000-11−i3i3−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-4-420000000000002200000000004-400000000220000000000-20000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-4-42000000000000220000000000-4400000000-2-2000000000020000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-4400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ6244-4-44400-44-44-4-4400-44-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ6344-4-44-20024-4-22-4-2002-22000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ6444-4-44-20024-4-22-4-2002-22000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ6544-4-44-20024-4-22-4-2002-2200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ6644-4-44-20024-4-22-4-2002-2200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ674-44-44400-4-44-44-4400-4-44000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ684-44-44400-4-44-44-4400-4-440000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-4-444-24-4-2-4-4224-24i−4i-22224-4-20000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ704-4-444-24-4-2-4-4224-2−4i4i-22224-4-2000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ714-4-444-2-44-2-4-4224-200-222-2-442000000000000-22000000004-40000000000000000000-22000000000000000000
χ724-4-444-2-44-2-4-4224-200-222-2-442000000000000-2200000000-4400000000000000000002-2000000000000000000
χ734-4-44-24-44422-4-4-2-200-22242-2-44i−4i−4i4i00000000-220000000000000000−2i2i2i−2i00000000000000000000000000000
χ744-4-44-24-44422-4-4-2-200-22242-2-4−4i4i4i−4i00000000-2200000000000000002i−2i−2i2i00000000000000000000000000000
χ754-4-44-2-24-4-22222-214i−4i1-1-12-22-2000000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ764-4-44-2-24-4-22222-214i−4i1-1-12-22-2000000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ774-4-44-2-24-4-22222-21−4i4i1-1-12-22-20000002i−2i23−232i−2i-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ784-4-44-2-24-4-22222-21−4i4i1-1-12-22-20000002i−2i−23232i−2i-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-444200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-444200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-88-4004-884-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-84-4-884-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-2-220000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-2-2200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-88-44444-42002-2-2-44-440000000000002-20000000000000000000000000000000000000000000000000

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