Finite Group Databasebeta

← Group #11817764

Character table — Group #11817764

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444266666666121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-11111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-122-1-1-12-1-1222-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220022002200000000000002-1-10000-1-1-1-1-1-100000
χ18222222222-122-1-1-12-1-1222-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-211000011111100000
χ19222222222-122-1-1-12-1-1222-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-111-2-2-1-1-1-111112200-2-200220000000000000-2-1-10000-1-1111100000
χ20222222222-122-1-1-12-1-1222-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-111-2-2-1-1-1-11111-2-2002200-2-20000000000000211000011-1-1-1-100000
χ21222222222-122-1-1-12-1-1222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111111-1-1221111-1-1-1-12200-2-200-2-200000000000002-1-1000011-1-11100000
χ22222222222-122-1-1-12-1-1222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111111-1-1221111-1-1-1-1-2-2002200220000000000000-2110000-1-111-1-100000
χ23222222222-122-1-1-12-1-1222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-21111111122002200-2-20000000000000-2-1-100001111-1-100000
χ24222222222-122-1-1-12-1-1222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-211111111-2-200-2-2002200000000000002110000-1-1-1-11100000
χ2522222222-12-1-1222-122-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-100002000-1-1-1-100000000000
χ2622222222-12-1-1222-122-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2000111100000000000
χ2722222222-12-1-1222-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-2111122-2-211-1-1-1-1111100-2-2002200-1-1-1-1-1-1-1-10000-2000111100000000000
χ2822222222-12-1-1222-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-2111122-2-211-1-1-1-11111002200-2-2001111111100002000-1-1-1-100000000000
χ2922222222-12-1-1222-122-1-1-12-12-1-2-222-1-1-1-1-1-1-111112222-211-2-21111-2-222-1-11111-1-1-1-1002200-2-2001111-1-1-1-10000-2000-1-11100000000000
χ3022222222-12-1-1222-122-1-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-21111-2-222-1-11111-1-1-1-100-2-2002200-1-1-1-111110000200011-1-100000000000
χ3122222222-12-1-1222-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-2-2-2111111111100-2-200-2-2001111-1-1-1-10000200011-1-100000000000
χ3222222222-12-1-1222-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-1-2-2-2-211111111110022002200-1-1-1-111110000-2000-1-11100000000000
χ33222-2-2-2-22222-222-2-2-2-222-22-2-22002i−2i222-2-2-2-200002i2i−2i−2i000000000002i−2i2i−2i00002i2i−2i−2i002-200000000002i2i−2i−2i000000002-20000000000000
χ34222-2-2-2-22222-222-2-2-2-222-22-2-22002i−2i222-2-2-2-20000−2i−2i2i2i000000000002i−2i2i−2i00002i2i−2i−2i00-220000000000−2i−2i2i2i00000000-220000000000000
χ35222-2-2-2-22222-222-2-2-2-222-22-2-2200−2i2i222-2-2-2-200002i2i−2i−2i00000000000−2i2i−2i2i0000−2i−2i2i2i00-2200000000002i2i−2i−2i00000000-220000000000000
χ36222-2-2-2-22222-222-2-2-2-222-22-2-2200−2i2i222-2-2-2-20000−2i−2i2i2i00000000000−2i2i−2i2i0000−2i−2i2i2i002-20000000000−2i−2i2i2i000000002-20000000000000
χ37222-2-2-2-22-12-1122-21-2-2-1-1121-2-1002i−2i-1-1-1111133−3−32i2i−2i−2i0−i3i300−i3−i3i3i3002i−2i−ii33−3−3−i−iii002-2000000−i3−i3i3i3−i−iii00000000-113−300000000000
χ38222-2-2-2-22-12-1122-21-2-2-1-1121-2-1002i−2i-1-1-1111133−3−3−2i−2i2i2i0−i3i300−i3−i3i3i3002i−2i−ii33−3−3−i−iii00-22000000i3i3−i3−i3ii−i−i000000001-1−3300000000000
χ39222-2-2-2-22-12-1122-21-2-2-1-1121-2-1002i−2i-1-1-11111−3−3332i2i−2i−2i0i3−i300i3i3−i3−i3002i−2i−ii−3−333−i−iii002-2000000i3i3−i3−i3−i−iii00000000-11−3300000000000
χ40222-2-2-2-22-12-1122-21-2-2-1-1121-2-1002i−2i-1-1-11111−3−333−2i−2i2i2i0i3−i300i3i3−i3−i3002i−2i−ii−3−333−i−iii00-22000000−i3−i3i3i3ii−i−i000000001-13−300000000000
χ41222-2-2-2-22-12-1122-21-2-2-1-1121-2-100−2i2i-1-1-1111133−3−32i2i−2i−2i0i3−i300i3i3−i3−i300−2i2ii−i33−3−3ii−i−i00-22000000−i3−i3i3i3−i−iii000000001-1−3300000000000
χ42222-2-2-2-22-12-1122-21-2-2-1-1121-2-100−2i2i-1-1-1111133−3−3−2i−2i2i2i0i3−i300i3i3−i3−i300−2i2ii−i33−3−3ii−i−i002-2000000i3i3−i3−i3ii−i−i00000000-113−300000000000
χ43222-2-2-2-22-12-1122-21-2-2-1-1121-2-100−2i2i-1-1-11111−3−3332i2i−2i−2i0−i3i300−i3−i3i3i300−2i2ii−i−3−333ii−i−i00-22000000i3i3−i3−i3−i−iii000000001-13−300000000000
χ44222-2-2-2-22-12-1122-21-2-2-1-1121-2-100−2i2i-1-1-11111−3−333−2i−2i2i2i0−i3i300−i3−i3i3i300−2i2ii−i−3−333ii−i−i002-2000000−i3−i3i3i3ii−i−i00000000-11−3300000000000
χ4522-2-22-22-222222-2-2-22-2-2-2-2-222200002-2-22-22-200000000000000000000000000000002-200002i−2i002i−2i2i−2i00002i2i−2i−2i002-2000000000000000
χ4622-2-22-22-222222-2-2-22-2-2-2-2-222200002-2-22-22-200000000000000000000000000000002-20000−2i2i00−2i2i−2i2i0000−2i−2i2i2i002-2000000000000000
χ4722-2-22-22-222222-2-2-22-2-2-2-2-222200002-2-22-22-20000000000000000000000000000000-2200002i−2i002i−2i2i−2i0000−2i−2i2i2i00-22000000000000000
χ4822-2-22-22-222222-2-2-22-2-2-2-2-222200002-2-22-22-20000000000000000000000000000000-220000−2i2i00−2i2i−2i2i00002i2i−2i−2i00-22000000000000000
χ492-222-2-22-222-2-2-222-22-22-22-22-220000-22-2-222-200002-22-200000000000000000000000000000002i−2i00002-22-22i−2i2i−2i000000002i−2i000000000
χ502-222-2-22-222-2-2-222-22-22-22-22-220000-22-2-222-200002-22-20000000000000000000000000000000−2i2i00002-22-2−2i2i−2i2i00000000−2i2i000000000
χ512-222-2-22-222-2-2-222-22-22-22-22-220000-22-2-222-20000-22-2200000000000000000000000000000002i−2i0000-22-22−2i2i−2i2i000000002i−2i000000000
χ522-222-2-22-222-2-2-222-22-22-22-22-220000-22-2-222-20000-22-220000000000000000000000000000000−2i2i0000-22-222i−2i2i−2i00000000−2i2i000000000
χ532-22-222-2-222-22-22-22-222-2-2-2-2220000-22-22-2-2200002i−2i−2i2i0000000000000000000000000002-2000000002i−2i−2i2i00000000000000002-2002i−2i0
χ542-22-222-2-222-22-22-22-222-2-2-2-2220000-22-22-2-2200002i−2i−2i2i000000000000000000000000000-22000000002i−2i−2i2i0000000000000000-2200−2i2i0
χ552-22-222-2-222-22-22-22-222-2-2-2-2220000-22-22-2-220000−2i2i2i−2i0000000000000000000000000002-200000000−2i2i2i−2i00000000000000002-200−2i2i0
χ562-22-222-2-222-22-22-22-222-2-2-2-2220000-22-22-2-220000−2i2i2i−2i000000000000000000000000000-2200000000−2i2i2i−2i0000000000000000-22002i−2i0
χ572-2-2-2-222222-2-2-2-2-2222-22-222-222-200-2-22-2-2222-22-200000000000002-200002-22-200000000000000000000002-2-22000000000000002-2000
χ582-2-2-2-222222-2-2-2-2-2222-22-222-222-200-2-22-2-2222-22-200000000000002-200002-22-20000000000000000000000-222-200000000000000-22000
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χ602-2-2-2-222222-2-2-2-2-2222-22-222-22-2200-2-22-2-222-22-220000000000000-220000-22-220000000000000000000000-222-2000000000000002-2000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-42222-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-42222-1-1-1-122-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004-2-2-2-21111222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ66444-4-4-4-444-24-4-2-22-42244-4-2-42-200−4i4i-2-2-2222200000000000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000
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χ944-4-444-4-44-2-22-222-22222-2-2-22-210000-1-1111-1-123−23−232300000002i3−2i3−i3i3−i3i3000000−333−3−3i3i−3i3i00000000000000000000000000000000000000000
χ954-4-444-4-44-2-22-222-22222-2-2-22-210000-1-1111-1-1−232323−230000000−2i32i3i3−i3i3−i30000003−3−33−3i3i−3i3i00000000000000000000000000000000000000000
χ964-4-444-4-44-2-22-222-22222-2-2-22-210000-1-1111-1-1−232323−2300000002i3−2i3−i3i3−i3i30000003−3−333i−3i3i−3i00000000000000000000000000000000000000000
χ974-4-4-4-44444-2-4-42224-2-2-44-4-242-24-40022-222-2-24-44-40000000000000-220000-22-22000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4-42224-2-2-44-4-242-2-440022-222-2-2-44-4400000000000002-200002-22-2000000000000000000000000000000000000000000000
χ994-4-4-4-4444-2422-4-4-4-2442-224-2-4-24-40022-222-2-2-22-2200000000000004-40000-22-22000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-2422-4-4-4-2442-224-2-4-2-440022-222-2-22-22-20000000000000-4400002-22-2000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-222222-2-2-22-22-2-2214-400-1-11-1-111-22-220000000003-3-33-2200001-11-1-333-300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-222222-2-2-22-22-2-2214-400-1-11-1-111-22-22000000000-333-3-2200001-11-13-3-3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-222222-2-2-22-22-2-221-4400-1-11-1-1112-22-20000000003-3-332-20000-11-113-3-3300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-222222-2-2-22-22-2-221-4400-1-11-1-1112-22-2000000000-333-32-20000-11-11-333-300000000000000000000000000000000000000000
χ10588-88-88-8-8-4-4-44-44-4-44-444-4444200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-4-4-4444-444444-4-4200002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-4444-4-44-44-44-44-4420000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-888-8-8-4-44-44-44-44-4-44444-420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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