Finite Group Databasebeta

← Group #11819175

Character table — Group #11819175

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1
χ17222222222-12222-1-1-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-12222-1-1-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200111111110000-2011110000000000000
χ19222222222-12222-1-1-12-1-1-1-122-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-21111-2-2-1-1-1-111111111000022-2-200-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-12222-1-1-12-1-1-1-122-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-21111-2-2-1-1-1-1111111110000-2-2220011111111000020-1-1-1-10000000000000
χ21222222222-12222-1-1-12-1-1-1-122-1-2-222-1-1-1-1-1-1-111112222-2-2-222-1-111-2-21111-1-1-1-111110000-2-22200-1-1-1-111110000-20-1-1110000000000000
χ22222222222-12222-1-1-12-1-1-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-222-1-111-2-21111-1-1-1-11111000022-2-2001111-1-1-1-100002011-1-10000000000000
χ23222222222-12222-1-1-12-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-211-1-12211111111-1-1-1-10000-2-2-2-200-1-1-1-1111100002011-1-10000000000000
χ24222222222-12222-1-1-12-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-211-1-12211111111-1-1-1-100002222001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-1-1-1222-12222-1-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1-1222-12222-1-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1-1222-12222-1-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-211-1-1-1-11111111122220000-2-20000000000000-2000011-1-1-1-11100000
χ2822222222-12-1-1-1-1222-12222-1-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-211-1-1-1-111111111-2-2-2-2000022000000000000020000-1-11111-1-100000
χ2922222222-12-1-1-1-1222-12222-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-122-2-2111111-1-1-1-1111122-2-20000-2-200000000000002000011-1-111-1-100000
χ3022222222-12-1-1-1-1222-12222-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-122-2-2111111-1-1-1-11111-2-2220000220000000000000-20000-1-111-1-11100000
χ3122222222-12-1-1-1-1222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-2-222-1-111111111-1-1-1-122-2-20000220000000000000-20000-1-1-1-1111100000
χ3222222222-12-1-1-1-1222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-2-222-1-111111111-1-1-1-1-2-2220000-2-20000000000000200001111-1-1-1-100000
χ3322-2-22-22-2222-22-22-2-2-222-2-2-222002i−2i22-2-22-2-2000022-2-20002i−2i2i−2i000000002i2i−2i−2i00000000002i−2i0022-2-200000000002i−2i000000000000000
χ3422-2-22-22-2222-22-22-2-2-222-2-2-222002i−2i22-2-22-2-20000-2-2220002i−2i2i−2i000000002i2i−2i−2i0000000000−2i2i00-2-2220000000000−2i2i000000000000000
χ3522-2-22-22-2222-22-22-2-2-222-2-2-22200−2i2i22-2-22-2-2000022-2-2000−2i2i−2i2i00000000−2i−2i2i2i0000000000−2i2i0022-2-20000000000−2i2i000000000000000
χ3622-2-22-22-2222-22-22-2-2-222-2-2-22200−2i2i22-2-22-2-20000-2-222000−2i2i−2i2i00000000−2i−2i2i2i00000000002i−2i00-2-22200000000002i−2i000000000000000
χ3722-2-22-22-22-12-22-2-111-2-1-111-22-1002i−2i-1-111-111−i3−i3i3i322-2-20002i−2i−ii3−300−i3−i3i3i3−i−iii33−3−30000002i−2i00-1-111−i3−i3i3i3000000−ii3−30000000000000
χ3822-2-22-22-22-12-22-2-111-2-1-111-22-1002i−2i-1-111-111−i3−i3i3i3-2-2220002i−2i−ii3−300−i3−i3i3i3−i−iii33−3−3000000−2i2i0011-1-1i3i3−i3−i3000000i−i−330000000000000
χ3922-2-22-22-22-12-22-2-111-2-1-111-22-1002i−2i-1-111-111i3i3−i3−i322-2-20002i−2i−ii−3300i3i3−i3−i3−i−iii−3−3330000002i−2i00-1-111i3i3−i3−i3000000−ii−330000000000000
χ4022-2-22-22-22-12-22-2-111-2-1-111-22-1002i−2i-1-111-111i3i3−i3−i3-2-2220002i−2i−ii−3300i3i3−i3−i3−i−iii−3−333000000−2i2i0011-1-1−i3−i3i3i3000000i−i3−30000000000000
χ4122-2-22-22-22-12-22-2-111-2-1-111-22-100−2i2i-1-111-111−i3−i3i3i322-2-2000−2i2ii−i−3300−i3−i3i3i3ii−i−i−3−333000000−2i2i00-1-111−i3−i3i3i3000000i−i−330000000000000
χ4222-2-22-22-22-12-22-2-111-2-1-111-22-100−2i2i-1-111-111−i3−i3i3i3-2-222000−2i2ii−i−3300−i3−i3i3i3ii−i−i−3−3330000002i−2i0011-1-1i3i3−i3−i3000000−ii3−30000000000000
χ4322-2-22-22-22-12-22-2-111-2-1-111-22-100−2i2i-1-111-111i3i3−i3−i322-2-2000−2i2ii−i3−300i3i3−i3−i3ii−i−i33−3−3000000−2i2i00-1-111i3i3−i3−i3000000i−i3−30000000000000
χ4422-2-22-22-22-12-22-2-111-2-1-111-22-100−2i2i-1-111-111i3i3−i3−i3-2-222000−2i2ii−i3−300i3i3−i3−i3ii−i−i33−3−30000002i−2i0011-1-1−i3−i3i3i3000000−ii−330000000000000
χ4522-2-2-22-2222-2-22222-22-2-22-2-2-220000-2-22-222-200000000000000000000000000000002i−2i002i−2i000000002i−2i2i−2i22-2-2000000002i−2i000000000
χ4622-2-2-22-2222-2-22222-22-2-22-2-2-220000-2-22-222-200000000000000000000000000000002i−2i00−2i2i00000000−2i2i−2i2i-2-222000000002i−2i000000000
χ4722-2-2-22-2222-2-22222-22-2-22-2-2-220000-2-22-222-20000000000000000000000000000000−2i2i002i−2i000000002i−2i2i−2i-2-22200000000−2i2i000000000
χ4822-2-2-22-2222-2-22222-22-2-22-2-2-220000-2-22-222-20000000000000000000000000000000−2i2i00−2i2i00000000−2i2i−2i2i22-2-200000000−2i2i000000000
χ492-22-222-2-222-22-22-22-2-22-2-22-2222i−2i002-2-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i000000000000000000000000002-22-200000000000000002i−2i0
χ502-22-222-2-222-22-22-22-2-22-2-22-2222i−2i002-2-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i00000000000000000000000000-22-220000000000000000−2i2i0
χ512-22-222-2-222-22-22-22-2-22-2-22-222−2i2i002-2-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i000000000000000000000000002-22-20000000000000000−2i2i0
χ522-22-222-2-222-22-22-22-2-22-2-22-222−2i2i002-2-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i00000000000000000000000000-22-2200000000000000002i−2i0
χ532-22-2-2-2222222-2-2-2-2-22-2222-2-220000-2222-2-2-200002i−2i2i−2i00000000000000000000000000000002-22i−2i2i−2i000000000000002-20000002i−2i000
χ542-22-2-2-2222222-2-2-2-2-22-2222-2-220000-2222-2-2-200002i−2i2i−2i0000000000000000000000000000000-222i−2i2i−2i00000000000000-22000000−2i2i000
χ552-22-2-2-2222222-2-2-2-2-22-2222-2-220000-2222-2-2-20000−2i2i−2i2i00000000000000000000000000000002-2−2i2i−2i2i000000000000002-2000000−2i2i000
χ562-22-2-2-2222222-2-2-2-2-22-2222-2-220000-2222-2-2-20000−2i2i−2i2i0000000000000000000000000000000-22−2i2i−2i2i00000000000000-220000002i−2i000
χ572-2-22-222-2222-2-22-222-2-22-2-22-220000-22-2-2-22200002i−2i−2i2i00000000000000000000000002i−2i0000002i−2i−2i2i00002-2-2200000000002i−2i0000000
χ582-2-22-222-2222-2-22-222-2-22-2-22-220000-22-2-2-22200002i−2i−2i2i0000000000000000000000000−2i2i0000002i−2i−2i2i0000-222-20000000000−2i2i0000000
χ592-2-22-222-2222-2-22-222-2-22-2-22-220000-22-2-2-2220000−2i2i2i−2i00000000000000000000000002i−2i000000−2i2i2i−2i0000-222-200000000002i−2i0000000
χ602-2-22-222-2222-2-22-222-2-22-2-22-220000-22-2-2-2220000−2i2i2i−2i0000000000000000000000000−2i2i000000−2i2i2i−2i00002-2-220000000000−2i2i0000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-422-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004222222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
χ654444-4-4-4-444-444-44-44-4-4-4-444-440000-4-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000
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χ674444-4-4-4-44-2-444-4-22-2-4222-24-4-20000222-2-22-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ684444-4-4-4-4-242-2-224-442-4-4-44-22-20000222-2-22-20000000000000000000000000000000000000000000000000000000000000000023−2300000
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χ814-44-444-4-44-2-44-442-22-4-222-2-44-2−4i4i00-222-22-222i−2i2i−2i00000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ824-44-444-4-4-242-22-2-44-424-4-442-2-24i−4i00-222-22-224i−4i4i−4i00000−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ834-44-444-4-4-242-22-2-44-424-4-442-2-2−4i4i00-222-22-22−4i4i−4i4i000002i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ844-44-444-4-4-2-22-22-22-222-222-22-214i−4i001-1-11-11-1−2i2i−2i2i00000−2i2i00000000i−ii−i3-33-33i−3i3i−3i00000000000000000000000000000000000000000
χ854-44-444-4-4-2-22-22-22-222-222-22-214i−4i001-1-11-11-1−2i2i−2i2i00000−2i2i00000000i−ii−i-33-33−3i3i−3i3i00000000000000000000000000000000000000000
χ864-44-444-4-4-2-22-22-22-222-222-22-21−4i4i001-1-11-11-12i−2i2i−2i000002i−2i00000000−ii−ii3-33-3−3i3i−3i3i00000000000000000000000000000000000000000
χ874-44-444-4-4-2-22-22-22-222-222-22-21−4i4i001-1-11-11-12i−2i2i−2i000002i−2i00000000−ii−ii-33-333i−3i3i−3i00000000000000000000000000000000000000000
χ884-44-4-4-4444-244-4-422242-2-2-2-4-4-200002-2-2-222200004i−4i4i−4i000000000000000000000000000000000−2i2i−2i2i000000000000000000000000000
χ894-44-4-4-4444-244-4-422242-2-2-2-4-4-200002-2-2-22220000−4i4i−4i4i0000000000000000000000000000000002i−2i2i−2i000000000000000000000000000
χ904-44-4-4-444-24-2-222-4-4-4-2-444422-200002-2-2-22220000000000000000000000000000000000000004-4000000000000000000-2200000000000
χ914-44-4-4-444-24-2-222-4-4-4-2-444422-200002-2-2-2222000000000000000000000000000000000000000-440000000000000000002-200000000000
χ924-4-444-4-4444-4-4-4-4-4-4444-44-444400004-44-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-444-2-4-4-4-422-24-22-2244-20000-22-2222-223−23−232300000000000000023−23−23230000000000000000000000000000000000000000000000000
χ944-4-444-4-444-2-4-4-4-422-24-22-2244-20000-22-2222-2−232323−23000000000000000−232323−230000000000000000000000000000000000000000000000000
χ954-4-444-4-44-242222-4-44-24-44-4-2-2-20000-22-2222-200000000000000000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ964-4-444-4-44-242222-4-44-24-44-4-2-2-20000-22-2222-2000000000000000002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ974-4-444-4-44-2-2222222-2-2-22-22-2-2100001-11-1-1-1123−23−23230000000000000−2i32i3−333−33i−3i−3i3ii3−i3−i3i300000000000000000000000000000000000000000
χ984-4-444-4-44-2-2222222-2-2-22-22-2-2100001-11-1-1-1123−23−232300000000000002i3−2i3−333−3−3i3i3i−3i−i3i3i3−i300000000000000000000000000000000000000000
χ994-4-444-4-44-2-2222222-2-2-22-22-2-2100001-11-1-1-11−232323−230000000000000−2i32i33−3−33−3i3i3i−3ii3−i3−i3i300000000000000000000000000000000000000000
χ1004-4-444-4-44-2-2222222-2-2-22-22-2-2100001-11-1-1-11−232323−2300000000000002i3−2i33−3−333i−3i−3i3i−i3i3i3−i300000000000000000000000000000000000000000
χ1014-4-44-444-44-24-4-442-2-2-42-2224-4-200002-2222-2-200004i−4i−4i4i000000000000000000000000000000000−2i2i2i−2i000000000000000000000000000
χ1024-4-44-444-44-24-4-442-2-2-42-2224-4-200002-2222-2-20000−4i4i4i−4i0000000000000000000000000000000002i−2i−2i2i000000000000000000000000000
χ1034-4-44-444-4-24-222-2-4442-44-4-4-22-200002-2222-2-20000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000000
χ1044-4-44-444-4-24-222-2-4442-44-4-4-22-200002-2222-2-2000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000000
χ1058888-8-8-8-8-4-44-4-44-44-44444-4-4420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-444-4-4-4-44-444-444420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-4-4-444444-44-4-4-44420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-4-444-44-4-444-444-4420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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