Finite Group Databasebeta

← Group #13151497

Character table — Group #13151497

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444446666666612121212121212121212121212121212181818181818181818181818181818181818242424242424363636363636363636363636363636363636363636363636363636
order122222223446666666121233666666366666666666121212122244446666121212121212121266661212222444444666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ5111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-111111111111111111111-1-1-1-11-1-1-11-1-11-1-1-111-1-111-1-1-1-1-1-111-1-1
χ6111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-11-1-111111-1-1-1-11111-1-1-1-111
χ7111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-11-11-1111-1-111-1-111-1-11111-1-1
χ8111111-1-11-1-111111-1-1-1-111111111111-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-1111-1-1-1-1-11111-1-11111-1-111
χ91111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1111111111111111111-1-111-1-1-11-1-1-11-1-11-1-1-1-111-1-111-1-1-1-1-1-111
χ101111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-111-1-11111-1-111-1-111-1-1
χ111111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-1-1111-11111-1-111-1-1-1-111-1-111
χ121111-1-1111-1-1111-1-111-1-1111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-111-11-11-1-111-1-1-1-111111111-1-1
χ131111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-111-1-111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ141111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-11111-1-1111111
χ151111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-111-1-11111111111-1-1-1-1-1-1
χ161111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1111111-1-1-1-1-1-1-1-11111
χ17222222222222222222222-1-1-122-12-12222-1-1-1-1-1-1-122-1-1220000-1-1-1-100000000-1-1-1-1-1-122000020000-1-1-1-1000000-1-10000
χ18222222222222222222222-1-1-122-12-12222-1-1-1-1-1-1-122-1-1-2-20000111100000000-1-1-1-1-1-1-2-20000-200001111000000110000
χ1922222222222222222222-1222-1-12-1-1-1-1-1-12222-1-1-1-1-12200220000000000-1-1-1-1-1-1-1-1-1-10002220000000000000-1-100-1-1-1-1
χ2022222222222222222222-1222-1-12-1-1-1-1-1-12222-1-1-1-1-12200-2-200000000001111-1-1-1-1-1-1000-2-2-2000000000000011001111
χ21222222-2-22-2-222222-2-2-2-22-1-1-122-12-122-2-2-1-111-1-1-1-2-211220000-1-1-1-100000000-1-111112-20000-20000-1-111000000110000
χ22222222-2-22-2-222222-2-2-2-22-1-1-122-12-122-2-2-1-111-1-1-1-2-211-2-20000111100000000-1-11111-2200002000011-1-1000000-1-10000
χ23222222-2-22-2-222222-2-2-2-2-1222-1-12-1-1-1-11122-2-2-1-1-111-2-200220000000000-1-1-1-1-1-11111000-22-200000000000001100-1-111
χ24222222-2-22-2-222222-2-2-2-2-1222-1-12-1-1-1-11122-2-2-1-1-111-2-200-2-200000000001111-1-111110002-220000000000000-1-10011-1-1
χ252222-2-2222-2-2222-2-222-2-22-1-1-122-12-1-2-22211-1-1-1-1-1-2-211220000-1-1-1-10000000011-1-111-220000-2000011-1-1000000110000
χ262222-2-2222-2-2222-2-222-2-22-1-1-122-12-1-2-22211-1-1-1-1-1-2-211-2-2000011110000000011-1-1112-2000020000-1-111000000-1-10000
χ272222-2-2222-2-2222-2-222-2-2-1222-1-12-1-111-1-1-2-222-1-1-111-2-200220000000000-1-1-1-111-1-111000-2-220000000000000110011-1-1
χ282222-2-2222-2-2222-2-222-2-2-1222-1-12-1-111-1-1-2-222-1-1-111-2-200-2-20000000000111111-1-11100022-20000000000000-1-100-1-111
χ292222-2-2-2-2222222-2-2-2-2222-1-1-122-12-1-2-2-2-21111-1-1-122-1-1220000-1-1-1-1000000001111-1-1-2-20000200001111000000-1-10000
χ302222-2-2-2-2222222-2-2-2-2222-1-1-122-12-1-2-2-2-21111-1-1-122-1-1-2-200001111000000001111-1-1220000-20000-1-1-1-1000000110000
χ312222-2-2-2-2222222-2-2-2-222-1222-1-12-1-11111-2-2-2-2-1-1-1-1-12200220000000000-1-1-1-11111-1-10002-2-20000000000000-1-1001111
χ322222-2-2-2-2222222-2-2-2-222-1222-1-12-1-11111-2-2-2-2-1-1-1-1-12200-2-2000000000011111111-1-1000-22200000000000001100-1-1-1-1
χ3322-2-200002002-2-2000000222-2-22-2-22000000002-2-200002-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000
χ3422-2-200002002-2-2000000222-2-22-2-22000000002-2-200002-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000
χ3522-2-200002002-2-2000000222-2-22-2-22000000002-2-20000-222i−2i−2i2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000
χ3622-2-200002002-2-2000000222-2-22-2-22000000002-2-20000-22−2i2i2i−2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000
χ372-2-222-22-222-2-2-222-22-22-222-2-22-22-222-22-22-22-2-2-222-22-20000000000000000002-22-22-2000000000000000000000000000
χ382-2-222-22-222-2-2-222-22-22-22-1112-2-1-2-12-22-2-11-1111-12-2-11000000−i3i3−i3i300000000-11-11-1100000000000−i3i3−i3i3000000−i3i30000
χ392-2-222-22-222-2-2-222-22-22-22-1112-2-1-2-12-22-2-11-1111-12-2-11000000i3−i3i3−i300000000-11-11-1100000000000i3−i3i3−i3000000i3−i30000
χ402-2-222-22-222-2-2-222-22-22-2-12-2-2-1121-1-11-112-22-211-1-112-2000000000000003−33−3-11-11-1100000000000000000003−3003−33−3
χ412-2-222-22-222-2-2-222-22-22-2-12-2-2-1121-1-11-112-22-211-1-112-200000000000000−33−33-11-11-110000000000000000000−3300−33−33
χ422-2-222-2-222-22-2-222-2-22-2222-2-22-22-222-2-222-2-22-2-22-22-220000000000000000002-2-22-22000000000000000000000000000
χ432-2-222-2-222-22-2-222-2-22-222-1112-2-1-2-12-2-22-111-111-1-221-1000000−i3i3−i3i300000000-111-11-100000000000−i3i3i3−i3000000i3−i30000
χ442-2-222-2-222-22-2-222-2-22-222-1112-2-1-2-12-2-22-111-111-1-221-1000000i3−i3i3−i300000000-111-11-100000000000i3−i3−i3i3000000−i3i30000
χ452-2-222-2-222-22-2-222-2-22-22-12-2-2-1121-1-111-12-2-2211-11-1-22000000000000003−33−3-111-11-10000000000000000000−33003−3−33
χ462-2-222-2-222-22-2-222-2-22-22-12-2-2-1121-1-111-12-2-2211-11-1-2200000000000000−33−33-111-11-100000000000000000003−300−333−3
χ472-2-22-222-22-22-2-22-222-2-2222-2-22-22-22-222-2-222-2-2-22-22-22000000000000000000-222-2-22000000000000000000000000000
χ482-2-22-222-22-22-2-22-222-2-222-1112-2-1-2-1-222-21-1-1111-1-221-1000000−i3i3−i3i3000000001-1-111-100000000000i3−i3−i3i3000000i3−i30000
χ492-2-22-222-22-22-2-22-222-2-222-1112-2-1-2-1-222-21-1-1111-1-221-1000000i3−i3i3−i3000000001-1-111-100000000000−i3i3i3−i3000000−i3i30000
χ502-2-22-222-22-22-2-22-222-2-22-12-2-2-1121-11-1-11-222-211-11-1-22000000000000003−33−31-1-111-10000000000000000000−3300−333−3
χ512-2-22-222-22-22-2-22-222-2-22-12-2-2-1121-11-1-11-222-211-11-1-2200000000000000−33−331-1-111-100000000000000000003−3003−3−33
χ522-2-22-22-2222-2-2-22-22-222-222-2-22-22-22-22-22-22-22-2-222-22-2000000000000000000-22-222-2000000000000000000000000000
χ532-2-22-22-2222-2-2-22-22-222-22-1112-2-1-2-1-22-221-11-111-12-2-11000000−i3i3−i3i3000000001-11-1-1100000000000i3−i3i3−i3000000−i3i30000
χ542-2-22-22-2222-2-2-22-22-222-22-1112-2-1-2-1-22-221-11-111-12-2-11000000i3−i3i3−i3000000001-11-1-1100000000000−i3i3−i3i3000000i3−i30000
χ552-2-22-22-2222-2-2-22-22-222-2-12-2-2-1121-11-11-1-22-2211-1-112-2000000000000003−33−31-11-1-1100000000000000000003−300−33−33
χ562-2-22-22-2222-2-2-22-22-222-2-12-2-2-1121-11-11-1-22-2211-1-112-200000000000000−33−331-11-1-110000000000000000000−33003−33−3
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
χ6144-4-400004004-4-40000004-2-22-442-4-200000000-22200004-40000-2-22200000000000000000000000000000000000000000
χ6244-4-400004004-4-40000004-2-22-442-4-200000000-2220000-44000022-2-200000000000000000000000000000000000000000
χ6344-4-400004004-4-4000000-244-42-2-42-200000000-2220000004i−4i0000000000−2i−2i2i2i000000000000000000000000000000000
χ6444-4-400004004-4-4000000-244-42-2-42-200000000-222000000−4i4i00000000002i2i−2i−2i000000000000000000000000000000000
χ654-44-40000400-44-400000044-44-4-4-44400000000-44-40000000000000000000000000000000000000000000000000000000
χ664-44-40000400-44-40000004-22-2-4-424-2000000002-220000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ674-44-40000400-44-40000004-22-2-4-424-2000000002-2200000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ684-44-40000400-44-4000000-24-4422-4-2-2000000002-22000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ694-44-40000400-44-4000000-24-4422-4-2-2000000002-220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ704-4-444-44-444-4-4-444-44-44-4-2-222-22-221-22-22-22-22-1-11-22-220000000000000000001-11-11-1000000000000000000000000000
χ714-4-444-4-444-44-4-444-4-44-44-2-222-22-221-222-2-222-2-1-112-22-20000000000000000001-1-11-11000000000000000000000000000
χ724-4-44-444-44-44-4-44-444-4-44-2-222-22-2212-2-222-2-22-1-112-22-2000000000000000000-111-1-11000000000000000000000000000
χ734-4-44-44-4444-4-4-44-44-444-4-2-222-22-2212-22-22-22-2-1-11-22-22000000000000000000-11-111-1000000000000000000000000000
χ7466666666-366-3-3-3-3-3-3-3-3-30000000000000000000000000000220000-1-1-1-10000000000002000022-1-10000-1-1-1-100000000
χ7566666666-366-3-3-3-3-3-3-3-3-30000000000000000000000000000-2-200001111000000000000-20000-2-2110000111100000000
χ76666666-6-6-3-6-6-3-3-3-3-333330000000000000000000000000000220000-1-1-1-1000000000000-200002-2110000-1-11100000000
χ77666666-6-6-3-6-6-3-3-3-3-333330000000000000000000000000000-2-20000111100000000000020000-22-1-1000011-1-100000000
χ786666-6-666-3-6-6-3-3-333-3-3330000000000000000000000000000220000-1-1-1-1000000000000-20000-2211000011-1-100000000
χ796666-6-666-3-6-6-3-3-333-3-3330000000000000000000000000000-2-200001111000000000000200002-2-1-10000-1-11100000000
χ806666-6-6-6-6-366-3-3-33333-3-30000000000000000000000000000220000-1-1-1-100000000000020000-2-2-1-10000111100000000
χ816666-6-6-6-6-366-3-3-33333-3-30000000000000000000000000000-2-200001111000000000000-2000022110000-1-1-1-100000000
χ826-6-666-66-6-36-633-3-33-33-330000000000000000000000000000000000−i3i3−i3i30000000000000000000−i3i30000−i3i3−i3i300000000
χ836-6-666-66-6-36-633-3-33-33-330000000000000000000000000000000000i3−i3i3−i30000000000000000000i3−i30000i3−i3i3−i300000000
χ846-6-666-6-66-3-6633-3-333-33-30000000000000000000000000000000000−i3i3−i3i30000000000000000000i3−i30000−i3i3i3−i300000000
χ856-6-666-6-66-3-6633-3-333-33-30000000000000000000000000000000000i3−i3i3−i30000000000000000000−i3i30000i3−i3−i3i300000000
χ866-6-66-666-6-3-6633-33-3-333-30000000000000000000000000000000000−i3i3−i3i30000000000000000000i3−i30000i3−i3−i3i300000000
χ876-6-66-666-6-3-6633-33-3-333-30000000000000000000000000000000000i3−i3i3−i30000000000000000000−i3i30000−i3i3i3−i300000000
χ886-6-66-66-66-36-633-33-33-3-330000000000000000000000000000000000−i3i3−i3i30000000000000000000−i3i30000i3−i3i3−i300000000
χ896-6-66-66-66-36-633-33-33-3-330000000000000000000000000000000000i3−i3i3−i30000000000000000000i3−i30000−i3i3−i3i300000000
χ9088-8-800008008-8-8000000-4-4-444-4442000000002-2-20000000000000000000000000000000000000000000000000000000
χ918-88-80000800-88-8000000-4-44-4444-4200000000-22-20000000000000000000000000000000000000000000000000000000
χ921212-12-120000-600-66600000000000000000000000000000000004i−4i0000−2i−2i2i2i0000000000000000000000000000000000000
χ931212-12-120000-600-6660000000000000000000000000000000000−4i4i00002i2i−2i−2i0000000000000000000000000000000000000
χ9412-1212-120000-6006-66000000000000000000000000000000000000000023−23−23230000000000000000000000000000000000000
χ9512-1212-120000-6006-660000000000000000000000000000000000000000−232323−230000000000000000000000000000000000000

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