Finite Group Databasebeta

← Group #11872819

Character table — Group #11872819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666622366612121212444446666812121212242424242424242444444488121212121212661212124481212121212121224242424222488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111-111-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-1-1-111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-111-1-1-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-1111-1-1-1-1-1-1-1-11-1-11-1-111
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-111-1-111-1-111-111-111-1-1
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1111-1-1
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-111-1-1-111-1111-1
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1111111111-1-11-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-111111-1-1-1-111-111-1-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11111-1
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000002-20000-2-222-2-20000000020000000000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-220000-2-2222200000000-20000000000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000002-2000022-2-2-2-20000000020000000000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-22000022-2-22200000000-20000000000-20020000
χ2122222-1222-12-1-1222-1-1-1-12-1-122222222-1-12-1-1-1-1-1-122-1-1-1-122000000-1-1-1-100-1-12-1-10220-1-1-1-100-1-10000000000
χ2222222-1222-12-1-1222-1-1-1-12-1-122222-222-1-1-211-1-111-2-2111122000000-1-1-1-100-1-1-2110-2-2011-1-100110000000000
χ2322222-1222-12-1-1222-1-1-1-12-1-12-2-2-2-2222-1-12-1-1-1-1-1-122-1-1-1-1-2-2000000111100-1-12-1-10-2-20111100110000000000
χ2422222-1222-12-1-1222-1-1-1-12-1-12-2-2-2-2-222-1-1-211-1-111-2-21111-2-2000000111100-1-1-2110220-1-11100-1-10000000000
χ2522222-1222-12-1-12-2-2-1-1-1-12-1-1222222-2-211-2-1-1-1-111-2-21111-2-2000000-1-1-1-100112-1-102-20-1-11100110000000000
χ2622222-1222-12-1-12-2-2-1-1-1-12-1-122222-2-2-211211-1-1-1-122-1-1-1-1-2-2000000-1-1-1-10011-2110-220111100-1-10000000000
χ2722222-1222-12-1-12-2-2-1-1-1-12-1-12-2-2-2-22-2-211-2-1-1-1-111-2-2111122000000111100112-1-10-22011-1-100-1-10000000000
χ2822222-1222-12-1-12-2-2-1-1-1-12-1-12-2-2-2-2-2-2-211211-1-1-1-122-1-1-1-12200000011110011-21102-20-1-1-1-100110000000000
χ292222-1222-12-122-122-1-1-1-1-122-100002-1-122222-1-122-1-1-1-1-1-1002222220000-1-1-1-1-1-1-1200-10000-1-100-1-1000000-10
χ302222-1222-12-122-122-1-1-1-1-122-100002-1-122222-1-122-1-1-1-1-1-100-2-2-2-2-2-2000011-1-1-1-1-1-2001000011001100000010
χ312222-1222-12-122-122-1-1-1-1-122-10000-2-1-122-2-2-2-1-1-2-2111111002222-2-20000-1-1-1-1111-200-10000-1-1001100000010
χ322222-1222-12-122-122-1-1-1-1-122-10000-2-1-122-2-2-2-1-1-2-211111100-2-2-2-222000011-1-1111200100001100-1-1000000-10
χ332222-1222-12-122-1-2-2-1-1-1-1-122-10000211-2-2-222-1-1-2-21111110022-2-2-2-20000-1-111-1-1-1200-10000110011000000-10
χ342222-1222-12-122-1-2-2-1-1-1-1-122-10000211-2-2-222-1-1-2-211111100-2-2222200001111-1-1-1-20010000-1-100-1-100000010
χ352222-1222-12-122-1-2-2-1-1-1-1-122-10000-211-2-22-2-2-1-122-1-1-1-1-1-10022-2-2220000-1-111111-200-100001100-1-100000010
χ362222-1222-12-122-1-2-2-1-1-1-1-122-10000-211-2-22-2-2-1-122-1-1-1-1-1-100-2-222-2-20000111111120010000-1-10011000000-10
χ372-2-22222-22-2-22-2-2002-22-2-22-222i−2i2i−2i00000000-220000000000002i−2i002i−2i2i−2i0000000000000002i−2i000002-200000
χ382-2-22222-22-2-22-2-2002-22-2-22-222i−2i2i−2i00000000-22000000000000−2i2i002i−2i2i−2i000000000000000−2i2i00000-2200000
χ392-2-22222-22-2-22-2-2002-22-2-22-22−2i2i−2i2i00000000-220000000000002i−2i00−2i2i−2i2i0000000000000002i−2i00000-2200000
χ402-2-22222-22-2-22-2-2002-22-2-22-22−2i2i−2i2i00000000-22000000000000−2i2i00−2i2i−2i2i000000000000000−2i2i000002-200000
χ412-2-2222-222-2-22-2-22-22-22-22-22-22i−2i−2i2i02-22-20002-2000000002i−2i000000−2i2i2i−2i002-20000000002i−2i00000000000000
χ422-2-2222-222-2-22-2-22-22-22-22-22-2−2i2i2i−2i02-22-20002-200000000−2i2i0000002i−2i−2i2i002-2000000000−2i2i00000000000000
χ432-2-2222-222-2-22-2-2-222-22-22-22-22i−2i−2i2i0-22-220002-200000000−2i2i000000−2i2i2i−2i00-22000000000−2i2i00000000000000
χ442-2-2222-222-2-22-2-2-222-22-22-22-2−2i2i2i−2i0-22-220002-2000000002i−2i0000002i−2i−2i2i00-220000000002i−2i00000000000000
χ452-2-222-1-2221-2-11-22-2-11-1121-1-22i−2i−2i2i02-2-1103−3-113−30033−3−32i−2i000000i−i−ii00-1103−30000−i3i3−ii00−i3i30000000000
χ462-2-222-1-2221-2-11-22-2-11-1121-1-22i−2i−2i2i02-2-110−33-11−3300−3−3332i−2i000000i−i−ii00-110−330000i3−i3−ii00i3−i30000000000
χ472-2-222-1-2221-2-11-22-2-11-1121-1-2−2i2i2i−2i02-2-1103−3-113−30033−3−3−2i2i000000−iii−i00-1103−30000i3−i3i−i00i3−i30000000000
χ482-2-222-1-2221-2-11-22-2-11-1121-1-2−2i2i2i−2i02-2-110−33-11−3300−3−333−2i2i000000−iii−i00-110−330000−i3i3i−i00−i3i30000000000
χ492-2-222-1-2221-2-11-2-22-11-1121-1-22i−2i−2i2i0-221-103−3-11−3300−3−333−2i2i000000i−i−ii001-103−30000−i3i3i−i00i3−i30000000000
χ502-2-222-1-2221-2-11-2-22-11-1121-1-22i−2i−2i2i0-221-10−33-113−30033−3−3−2i2i000000i−i−ii001-10−330000i3−i3i−i00−i3i30000000000
χ512-2-222-1-2221-2-11-2-22-11-1121-1-2−2i2i2i−2i0-221-103−3-11−3300−3−3332i−2i000000−iii−i001-103−30000i3−i3−ii00−i3i30000000000
χ522-2-222-1-2221-2-11-2-22-11-1121-1-2−2i2i2i−2i0-221-10−33-113−30033−3−32i−2i000000−iii−i001-10−330000−i3i3−ii00i3−i30000000000
χ5344444-2-4-44-24-2-2400-2-2-2-2-422-444-4-40000000022000000000000000022-2-200000000000000000000000000000
χ5444444-2-4-44-24-2-2400-2-2-2-2-422-4-4-44400000000220000000000000000-2-22200000000000000000000000000000
χ554444-24-4-4-24-244-200-2-2-2-22-4-420000000000002200000000004-4000000002200000000-2000000000000000000
χ564444-24-4-4-24-244-200-2-2-2-22-4-42000000000000220000000000-4400000000-2-2000000002000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-44400-4-44-44-4004-4-4400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ6244-4-44400-4-44-44-4004-4-44000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ6344-4-4-24002-4-2-44200-222-200000000000000000000i6−i6i6−i6i6−i6000000−2i22i2000023−2300000000000000000i2−i200000000
χ6444-4-4-24002-4-2-44200-222-200000000000000000000i6−i6i6−i6i6−i60000002i2−2i20000−232300000000000000000−i2i200000000
χ6544-4-4-24002-4-2-44200-222-200000000000000000000−i6i6−i6i6−i6i6000000−2i22i20000−232300000000000000000i2−i200000000
χ6644-4-4-24002-4-2-44200-222-200000000000000000000−i6i6−i6i6−i6i60000002i2−2i2000023−2300000000000000000−i2i200000000
χ674-44-44400-44-4-4-440044-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ684-44-44400-44-4-4-440044-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-4-444-24-442-4-22-400-22-22-4-2244i−4i4i−4i000000002-20000000000000000−2i2i−2i2i00000000000000000000000000000
χ704-4-444-24-442-4-22-400-22-22-4-224−4i4i−4i4i000000002-200000000000000002i−2i2i−2i00000000000000000000000000000
χ714-4-44-244-4-2-424-4200-22-2224-4-20000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ724-4-44-244-4-2-424-4200-22-2224-4-20000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ734-4-44-24-44-2-424-424-4-22-22-2-44200000-224-4000-220000000000000000000000-220000000000000000000000000
χ744-4-44-24-44-2-424-42-44-22-22-2-442000002-2-44000-2200000000000000000000002-20000000000000000000000000
χ754-4-44-2-2-44-222-2224-41-11-1-22-2200000-22-22023−231-123−2300−3−333000000000000001-10−330000000000000000000000
χ764-4-44-2-2-44-222-2224-41-11-1-22-2200000-22-220−23231-1−23230033−3−3000000000000001-103−30000000000000000000000
χ774-4-44-2-2-44-222-222-441-11-1-22-22000002-22-2023−231-1−23230033−3−300000000000000-110−330000000000000000000000
χ784-4-44-2-2-44-222-222-441-11-1-22-22000002-22-20−23231-123−2300−3−33300000000000000-1103−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8484-4-800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-40044-44-44002-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ8288-8-8-4-40044-44-44002-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ838-88-88-400-8-4-844800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800484-8-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4444-40022-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-4004-4444-40022-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-48-8-444-444002-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000

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