Finite Group Databasebeta

← Group #13151485

Character table — Group #13151485

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444446666666612121212121212121212121212121212181818181818181818181818181818181818242424242424363636363636363636363636363636363636363636363636363636
order122222223446666666121233666666366666666666121212124444441212121212121212121212126666121222444444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-11-11-11-1-1-1-1-111-1-1-1-111-1-111-1-1
χ6111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11-1-11-111111-1-111-1-111-1-1-1-111
χ7111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-11-1-11111-1-111-1-111-1-111
χ8111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-111-111-1-1-1-11111-1-11111-1-1
χ91111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11-11-11-1-1-1-1-1-111-1-1-1-111-1-111
χ101111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-1111111-1-1-1-1-1-11111-1-1
χ111111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-111-1-1111111-1-111-1-1
χ121111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11-111-11-1-1111-1-111-1-11111-1-1-1-111
χ131111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ141111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-11111
χ151111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111111
χ161111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11111-1-1-1-1111111-1-11111-1-1-1-1
χ17222222222222222222222-1-1-1222-1-12222-1-1-1-1-1-1-122-1-100002200000000-1-1-1-1-1-1-1-1-1-102000002200-1-10000000000-1-1-1-1
χ18222222222222222222222-1-1-1222-1-12222-1-1-1-1-1-1-122-1-10000-2-2000000001111-1-1-1-1-1-10-200000-2-2001100000000001111
χ1922222222222222222222-1222-1-1-12-1-1-1-1-12222-1-1-1-1-1222200000000-1-1-1-10000-1-1-1-1-1-100222000000000000-1-1-1-1-1-10000
χ2022222222222222222222-1222-1-1-12-1-1-1-1-12222-1-1-1-1-122-2-20000000011110000-1-1-1-1-1-100-2-2-20000000000001111110000
χ21222222-2-22-2-222222-2-2-2-22-1-1-1222-1-122-2-2-1-111-1-1-1-2-21100002200000000-1-1-1-1-1-111110-2000002-200110000000000-1-111
χ22222222-2-22-2-222222-2-2-2-22-1-1-1222-1-122-2-2-1-111-1-1-1-2-2110000-2-2000000001111-1-111110200000-2200-1-1000000000011-1-1
χ23222222-2-22-2-222222-2-2-2-2-1222-1-1-12-1-1-11122-2-2-1-1-111-2-22200000000-1-1-1-10000-1-1111100-22-200000000000011-1-1110000
χ24222222-2-22-2-222222-2-2-2-2-1222-1-1-12-1-1-11122-2-2-1-1-111-2-2-2-20000000011110000-1-11111002-22000000000000-1-111-1-10000
χ252222-2-2222-2-2222-2-222-2-22-1-1-1222-1-1-2-22211-1-1-1-1-1-2-21100002200000000-1-1-1-111-1-1110-200000-220011000000000011-1-1
χ262222-2-2222-2-2222-2-222-2-22-1-1-1222-1-1-2-22211-1-1-1-1-1-2-2110000-2-200000000111111-1-11102000002-200-1-10000000000-1-111
χ272222-2-2222-2-2222-2-222-2-2-1222-1-1-12-111-1-1-2-222-1-1-111-2-22200000000-1-1-1-1000011-1-11100-2-220000000000001111-1-10000
χ282222-2-2222-2-2222-2-222-2-2-1222-1-1-12-111-1-1-2-222-1-1-111-2-2-2-2000000001111000011-1-1110022-2000000000000-1-1-1-1110000
χ292222-2-2-2-2222222-2-2-2-2222-1-1-1222-1-1-2-2-2-21111-1-1-122-1-100002200000000-1-1-1-11111-1-10200000-2-200-1-100000000001111
χ302222-2-2-2-2222222-2-2-2-2222-1-1-1222-1-1-2-2-2-21111-1-1-122-1-10000-2-20000000011111111-1-10-2000002200110000000000-1-1-1-1
χ312222-2-2-2-2222222-2-2-2-222-1222-1-1-12-11111-2-2-2-2-1-1-1-1-1222200000000-1-1-1-100001111-1-1002-2-2000000000000-1-111110000
χ322222-2-2-2-2222222-2-2-2-222-1222-1-1-12-11111-2-2-2-2-1-1-1-1-122-2-200000000111100001111-1-100-22200000000000011-1-1-1-10000
χ332-22-200002002-2-2000000222-2-2-22-22000000002-2-200002-22i−2i2i−2i2i2i−2i−2i22-2-22i2i−2i−2i000000000000000000000000000000000
χ342-22-200002002-2-2000000222-2-2-22-22000000002-2-200002-2−2i2i−2i2i−2i−2i2i2i22-2-2−2i−2i2i2i000000000000000000000000000000000
χ352-22-200002002-2-2000000222-2-2-22-22000000002-2-20000-222i−2i−2i2i2i2i−2i−2i-2-222−2i−2i2i2i000000000000000000000000000000000
χ362-22-200002002-2-2000000222-2-2-22-22000000002-2-20000-22−2i2i2i−2i−2i−2i2i2i-2-2222i2i−2i−2i000000000000000000000000000000000
χ372-2-222-22-222-2-2-222-22-22-222-2-22-2-2222-22-22-22-2-2-222-22-20000000000000000002-22-22-2000000000000000000000000000
χ382-2-222-22-222-2-2-222-22-22-22-1112-2-2-1-12-22-2-11-1111-12-2-1100000000000000−i3i3−i3i3-11-11-1100000000000−i3i30000000000−i3i3−i3i3
χ392-2-222-22-222-2-2-222-22-22-22-1112-2-2-1-12-22-2-11-1111-12-2-1100000000000000i3−i3i3−i3-11-11-1100000000000i3−i30000000000i3−i3i3−i3
χ402-2-222-22-222-2-2-222-22-22-2-12-2-2-1112-1-11-112-22-211-1-112-200000000003−33−30000-11-11-11000000000000000003−33−33−30000
χ412-2-222-22-222-2-2-222-22-22-2-12-2-2-1112-1-11-112-22-211-1-112-20000000000−33−330000-11-11-1100000000000000000−33−33−330000
χ422-2-222-2-222-22-2-222-2-22-2222-2-22-2-2222-2-222-2-22-2-22-22-220000000000000000002-2-22-22000000000000000000000000000
χ432-2-222-2-222-22-2-222-2-22-222-1112-2-2-1-12-2-22-111-111-1-221-100000000000000−i3i3−i3i3-111-11-100000000000i3−i30000000000−i3i3i3−i3
χ442-2-222-2-222-22-2-222-2-22-222-1112-2-2-1-12-2-22-111-111-1-221-100000000000000i3−i3i3−i3-111-11-100000000000−i3i30000000000i3−i3−i3i3
χ452-2-222-2-222-22-2-222-2-22-22-12-2-2-1112-1-111-12-2-2211-11-1-2200000000003−33−30000-111-11-100000000000000000−333−3−330000
χ462-2-222-2-222-22-2-222-2-22-22-12-2-2-1112-1-111-12-2-2211-11-1-220000000000−33−330000-111-11-1000000000000000003−3−333−30000
χ472-2-22-222-22-22-2-22-222-2-2222-2-22-2-222-222-2-222-2-2-22-22-22000000000000000000-222-2-22000000000000000000000000000
χ482-2-22-222-22-22-2-22-222-2-222-1112-2-2-1-1-222-21-1-1111-1-221-100000000000000−i3i3−i3i31-1-111-100000000000i3−i30000000000i3−i3−i3i3
χ492-2-22-222-22-22-2-22-222-2-222-1112-2-2-1-1-222-21-1-1111-1-221-100000000000000i3−i3i3−i31-1-111-100000000000−i3i30000000000−i3i3i3−i3
χ502-2-22-222-22-22-2-22-222-2-22-12-2-2-1112-11-1-11-222-211-11-1-2200000000003−33−300001-1-111-100000000000000000−33−333−30000
χ512-2-22-222-22-22-2-22-222-2-22-12-2-2-1112-11-1-11-222-211-11-1-220000000000−33−3300001-1-111-1000000000000000003−33−3−330000
χ522-2-22-22-2222-2-2-22-22-222-222-2-22-2-222-22-22-22-22-2-222-22-2000000000000000000-22-222-2000000000000000000000000000
χ532-2-22-22-2222-2-2-22-22-222-22-1112-2-2-1-1-22-221-11-111-12-2-1100000000000000−i3i3−i3i31-11-1-1100000000000−i3i30000000000i3−i3i3−i3
χ542-2-22-22-2222-2-2-22-22-222-22-1112-2-2-1-1-22-221-11-111-12-2-1100000000000000i3−i3i3−i31-11-1-1100000000000i3−i30000000000−i3i3−i3i3
χ552-2-22-22-2222-2-2-22-22-222-2-12-2-2-1112-11-11-1-22-2211-1-112-200000000003−33−300001-11-1-11000000000000000003−3−33−330000
χ562-2-22-22-2222-2-2-22-22-222-2-12-2-2-1112-11-11-1-22-2211-1-112-20000000000−33−3300001-11-1-1100000000000000000−333−33−30000
χ5744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2111-2-2-2-2000000000000000000111111000000000000000000000000000
χ58444444-4-44-4-444444-4-4-4-4-2-2-2-2-2-2-2-21-2-222-2-222111222200000000000000000011-1-1-1-1000000000000000000000000000
χ594444-4-4444-4-4444-4-444-4-4-2-2-2-2-2-2-2-2122-2-222-2-21112222000000000000000000-1-111-1-1000000000000000000000000000
χ604444-4-4-4-4444444-4-4-4-444-2-2-2-2-2-2-2-2122222222111-2-2-2-2000000000000000000-1-1-1-111000000000000000000000000000
χ6144-4-40000400-44-400000044-44-44-4-4400000000-44-40000000000000000000000000000000000000000000000000000000
χ6244-4-40000400-44-40000004-22-2-44-42-2000000002-2200000000000000000023−23−2323000000000000000000000000000000000
χ6344-4-40000400-44-40000004-22-2-44-42-2000000002-22000000000000000000−232323−23000000000000000000000000000000000
χ6444-4-40000400-44-4000000-24-442-22-4-2000000002-220000000000000023−23−23230000000000000000000000000000000000000
χ6544-4-40000400-44-4000000-24-442-22-4-2000000002-2200000000000000−232323−230000000000000000000000000000000000000
χ664-44-400004004-4-40000004-2-22-4-442-200000000-222000000004i−4i00000000−2i−2i2i2i000000000000000000000000000000000
χ674-44-400004004-4-40000004-2-22-4-442-200000000-22200000000−4i4i000000002i2i−2i−2i000000000000000000000000000000000
χ684-44-400004004-4-4000000-244-422-2-4-200000000-22200004-400000000-2-2220000000000000000000000000000000000000
χ694-44-400004004-4-4000000-244-422-2-4-200000000-2220000-440000000022-2-20000000000000000000000000000000000000
χ704-4-444-44-444-4-4-444-44-44-4-2-222-222-21-22-22-22-22-1-11-22-220000000000000000001-11-11-1000000000000000000000000000
χ714-4-444-4-444-44-4-444-4-44-44-2-222-222-21-222-2-222-2-1-112-22-20000000000000000001-1-11-11000000000000000000000000000
χ724-4-44-444-44-44-4-44-444-4-44-2-222-222-212-2-222-2-22-1-112-22-2000000000000000000-111-1-11000000000000000000000000000
χ734-4-44-44-4444-4-4-44-44-444-4-2-222-222-212-22-22-22-2-1-11-22-22000000000000000000-11-111-1000000000000000000000000000
χ7466666666-366-3-3-3-3-3-3-3-3-3000000000000000000000000002200-1-1-1-100000000000000200002200-1-100-1-1-1-10000000000
χ7566666666-366-3-3-3-3-3-3-3-3-300000000000000000000000000-2-200111100000000000000-20000-2-200110011110000000000
χ76666666-6-6-3-6-6-3-3-3-3-33333000000000000000000000000002200-1-1-1-100000000000000-200002-2001100-1-1110000000000
χ77666666-6-6-3-6-6-3-3-3-3-3333300000000000000000000000000-2-20011110000000000000020000-2200-1-10011-1-10000000000
χ786666-6-666-3-6-6-3-3-333-3-333000000000000000000000000002200-1-1-1-100000000000000-20000-2200110011-1-10000000000
χ796666-6-666-3-6-6-3-3-333-3-33300000000000000000000000000-2-200111100000000000000200002-200-1-100-1-1110000000000
χ806666-6-6-6-6-366-3-3-33333-3-3000000000000000000000000002200-1-1-1-10000000000000020000-2-200-1-10011110000000000
χ816666-6-6-6-6-366-3-3-33333-3-300000000000000000000000000-2-200111100000000000000-2000022001100-1-1-1-10000000000
χ826-6-666-66-6-36-633-3-33-33-33000000000000000000000000000000−i3i3−i3i300000000000000000000000−i3i300−i3i3−i3i30000000000
χ836-6-666-66-6-36-633-3-33-33-33000000000000000000000000000000i3−i3i3−i300000000000000000000000i3−i300i3−i3i3−i30000000000
χ846-6-666-6-66-3-6633-3-333-33-3000000000000000000000000000000−i3i3−i3i300000000000000000000000i3−i300−i3i3i3−i30000000000
χ856-6-666-6-66-3-6633-3-333-33-3000000000000000000000000000000i3−i3i3−i300000000000000000000000−i3i300i3−i3−i3i30000000000
χ866-6-66-666-6-3-6633-33-3-333-3000000000000000000000000000000−i3i3−i3i300000000000000000000000i3−i300i3−i3−i3i30000000000
χ876-6-66-666-6-3-6633-33-3-333-3000000000000000000000000000000i3−i3i3−i300000000000000000000000−i3i300−i3i3i3−i30000000000
χ886-6-66-66-66-36-633-33-33-3-33000000000000000000000000000000−i3i3−i3i300000000000000000000000−i3i300i3−i3i3−i30000000000
χ896-6-66-66-66-36-633-33-33-3-33000000000000000000000000000000i3−i3i3−i300000000000000000000000i3−i300−i3i3−i3i30000000000
χ9088-8-80000800-88-8000000-4-44-44-444200000000-22-20000000000000000000000000000000000000000000000000000000
χ918-88-800008008-8-8000000-4-4-4444-442000000002-2-20000000000000000000000000000000000000000000000000000000
χ921212-12-120000-6006-6600000000000000000000000000000000000023−23−232300000000000000000000000000000000000000000
χ931212-12-120000-6006-66000000000000000000000000000000000000−232323−2300000000000000000000000000000000000000000
χ9412-1212-120000-600-666000000000000000000000000000000004i−4i00−2i−2i2i2i00000000000000000000000000000000000000000
χ9512-1212-120000-600-66600000000000000000000000000000000−4i4i002i2i−2i−2i00000000000000000000000000000000000000000

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