Finite Group Databasebeta

← Group #11817761

Character table — Group #11817761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121244444444441212121212121212444424661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-11
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1
χ17222222222-1222-1-12-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-12-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-1222-1-12-1-12-1-12-12-122-2-2-1-1-1-1-1-1-111112222-2-2-21122-1-1-2-2-1-1-1-1111111112200-2-200001111-1-1-1-10000-2011-1-10000000000000
χ20222222222-1222-1-12-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-21122-1-1-2-2-1-1-1-111111111-2-200220000-1-1-1-11111000020-1-1110000000000000
χ21222222222-1222-1-12-1-12-1-12-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-211-2-211221111-1-1-1-11111-2-200220000-1-1-1-1-1-1-1-10000-2011110000000000000
χ22222222222-1222-1-12-1-12-1-12-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-211221111-1-1-1-111112200-2-2000011111111000020-1-1-1-10000000000000
χ23222222222-1222-1-12-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-2-211-2-211111111-1-1-1-1-2-200-2-200001111-1-1-1-1000020-1-1110000000000000
χ24222222222-1222-1-12-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-2-211-2-211111111-1-1-1-12200220000-1-1-1-111110000-2011-1-10000000000000
χ2522222222-12-1-1-122-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-122-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-122-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-2-1-12211-1-1-1-111111111002200-2-2-2-200000000000002000011-1-1-1-11100000
χ2822222222-12-1-1-122-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-2-1-12211-1-1-1-11111111100-2-20022220000000000000-20000-1-11111-1-100000
χ2922222222-12-1-1-122-122-122-12-1-1-2-222-1-1-1-1-1-1-122220000-211-2-211-2-2-1-11111-1-1-1-11111002200-2-2220000000000000-2000011-1-111-1-100000
χ3022222222-12-1-1-122-122-122-12-1-1-2-222-1-1-1-1-1-1-122220000-211-2-211-2-2-1-11111-1-1-1-1111100-2-20022-2-2000000000000020000-1-111-1-11100000
χ3122222222-12-1-1-122-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-12211-2-21111111111-1-1-1-100220022-2-20000000000000-20000-1-1-1-1111100000
χ3222222222-12-1-1-122-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-12211-2-21111111111-1-1-1-100-2-200-2-2220000000000000200001111-1-1-1-100000
χ3322-22-2-2-222222-22-2-22-2-22-2-2-2222i−2i0022-2-22-2-200002i2i−2i−2i000002i−2i2i−2i002i2i−2i−2i000000002-20000000000002i2i−2i−2i000000002-20000000000000
χ3422-22-2-2-222222-22-2-22-2-22-2-2-2222i−2i0022-2-22-2-20000−2i−2i2i2i000002i−2i2i−2i002i2i−2i−2i00000000-22000000000000−2i−2i2i2i00000000-220000000000000
χ3522-22-2-2-222222-22-2-22-2-22-2-2-222−2i2i0022-2-22-2-200002i2i−2i−2i00000−2i2i−2i2i00−2i−2i2i2i00000000-220000000000002i2i−2i−2i00000000-220000000000000
χ3622-22-2-2-222222-22-2-22-2-22-2-2-222−2i2i0022-2-22-2-20000−2i−2i2i2i00000−2i2i−2i2i00−2i−2i2i2i000000002-2000000000000−2i−2i2i2i000000002-20000000000000
χ3722-22-2-2-222-122-2-11-2-11-2-11-212-12i−2i00-1-111-111−i3−i3i3i32i2i−2i−2i0003−32i−2i−ii00−i−iii−i3−i3i3i333−3−32-20000000033−3−3−i−iii000000−i3i3-110000000000000
χ3822-22-2-2-222-122-2-11-2-11-2-11-212-12i−2i00-1-111-111−i3−i3i3i3−2i−2i2i2i0003−32i−2i−ii00−i−iii−i3−i3i3i333−3−3-2200000000−3−333ii−i−i000000i3−i31-10000000000000
χ3922-22-2-2-222-122-2-11-2-11-2-11-212-12i−2i00-1-111-111i3i3−i3−i32i2i−2i−2i000−332i−2i−ii00−i−iiii3i3−i3−i3−3−3332-200000000−3−333−i−iii000000i3−i3-110000000000000
χ4022-22-2-2-222-122-2-11-2-11-2-11-212-12i−2i00-1-111-111i3i3−i3−i3−2i−2i2i2i000−332i−2i−ii00−i−iiii3i3−i3−i3−3−333-220000000033−3−3ii−i−i000000−i3i31-10000000000000
χ4122-22-2-2-222-122-2-11-2-11-2-11-212-1−2i2i00-1-111-111−i3−i3i3i32i2i−2i−2i000−33−2i2ii−i00ii−i−i−i3−i3i3i3−3−333-220000000033−3−3−i−iii000000i3−i31-10000000000000
χ4222-22-2-2-222-122-2-11-2-11-2-11-212-1−2i2i00-1-111-111−i3−i3i3i3−2i−2i2i2i000−33−2i2ii−i00ii−i−i−i3−i3i3i3−3−3332-200000000−3−333ii−i−i000000−i3i3-110000000000000
χ4322-22-2-2-222-122-2-11-2-11-2-11-212-1−2i2i00-1-111-111i3i3−i3−i32i2i−2i−2i0003−3−2i2ii−i00ii−i−ii3i3−i3−i333−3−3-2200000000−3−333−i−iii000000−i3i31-10000000000000
χ4422-22-2-2-222-122-2-11-2-11-2-11-212-1−2i2i00-1-111-111i3i3−i3−i3−2i−2i2i2i0003−3−2i2ii−i00ii−i−ii3i3−i3−i333−3−32-20000000033−3−3ii−i−i000000i3−i3-110000000000000
χ4522-2-222-2-2222-2-222-2-2-22-2-222-22002i−2i2-22-2-22-22i−2i2i−2i00000000000002i−2i00002i−2i2i−2i00000000000000000000002i2i−2i−2i000000000000002-2000
χ4622-2-222-2-2222-2-222-2-2-22-2-222-22002i−2i2-22-2-22-22i−2i2i−2i00000000000002i−2i00002i−2i2i−2i0000000000000000000000−2i−2i2i2i00000000000000-22000
χ4722-2-222-2-2222-2-222-2-2-22-2-222-2200−2i2i2-22-2-22-2−2i2i−2i2i0000000000000−2i2i0000−2i2i−2i2i00000000000000000000002i2i−2i−2i00000000000000-22000
χ4822-2-222-2-2222-2-222-2-2-22-2-222-2200−2i2i2-22-2-22-2−2i2i−2i2i0000000000000−2i2i0000−2i2i−2i2i0000000000000000000000−2i−2i2i2i000000000000002-2000
χ492-2222-2-2-222-22-2-2-22-22-22-222-220000-22-2-2-22200002-22-200000000000000000000000000000002i−2i00002-22-22i−2i2i−2i0000000000002i−2i00000
χ502-2222-2-2-222-22-2-2-22-22-22-222-220000-22-2-2-22200002-22-20000000000000000000000000000000−2i2i00002-22-2−2i2i−2i2i000000000000−2i2i00000
χ512-2222-2-2-222-22-2-2-22-22-22-222-220000-22-2-2-2220000-22-2200000000000000000000000000000002i−2i0000-22-22−2i2i−2i2i0000000000002i−2i00000
χ522-2222-2-2-222-22-2-2-22-22-22-222-220000-22-2-2-2220000-22-220000000000000000000000000000000−2i2i0000-22-222i−2i2i−2i000000000000−2i2i00000
χ532-2-22-222-222-222-22-2-2-2222-2-2-220000-2222-2-2-200002i−2i−2i2i000000000000000000000000000002-20000002i−2i−2i2i00000000002-2000000002i−2i0
χ542-2-22-222-222-222-22-2-2-2222-2-2-220000-2222-2-2-200002i−2i−2i2i00000000000000000000000000000-220000002i−2i−2i2i0000000000-2200000000−2i2i0
χ552-2-22-222-222-222-22-2-2-2222-2-2-220000-2222-2-2-20000−2i2i2i−2i000000000000000000000000000002-2000000−2i2i2i−2i00000000002-200000000−2i2i0
χ562-2-22-222-222-222-22-2-2-2222-2-2-220000-2222-2-2-20000−2i2i2i−2i00000000000000000000000000000-22000000−2i2i2i−2i0000000000-22000000002i−2i0
χ572-2-2-22-22222-2-22-2-2-22-2-2-2222220000-2-2-2222-20000000000000000000000000000000002-22-200002-22-200002-2-22000000002-2000000000
χ582-2-2-22-22222-2-22-2-2-22-2-2-2222220000-2-2-2222-20000000000000000000000000000000002-2-220000-22-220000-222-2000000002-2000000000
χ592-2-2-22-22222-2-22-2-2-22-2-2-2222220000-2-2-2222-2000000000000000000000000000000000-222-200002-22-20000-222-200000000-22000000000
χ602-2-2-22-22222-2-22-2-2-22-2-2-2222220000-2-2-2222-2000000000000000000000000000000000-22-220000-22-2200002-2-2200000000-22000000000
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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-42222-2-2-2-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4441111111-2-2-2-20000-422222222-2-2-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004-2-2-2-2222222-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
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χ8244-4-444-4-4-24-222442-4-4-2-4-4-242-2004i−4i-22-222-224i−4i4i−4i0000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000000000000
χ8344-4-444-4-4-24-222442-4-4-2-4-4-242-200−4i4i-22-222-22−4i4i−4i4i00000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000000000000
χ8444-4-444-4-4-2-2-222-2-2222-222-2-221004i−4i1-11-1-11-1−2i2i−2i2i0000000000000−2i2i3-3-33i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
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χ904-4444-4-4-4-242-22-4-4-2-4424-4-242-200002-2222-2-20000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000
χ914-4444-4-4-4-242-22-4-4-2-4424-4-242-200002-2222-2-2000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000
χ924-44-4-44-4444-4-4-4-444444-4-4-4-4440000-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-444-2-4-4-42-24-2-2422-424-2000022-22-22-20000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ944-44-4-44-444-2-4-4-42-24-2-2422-424-2000022-22-22-200000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ954-44-4-44-44-24222-44-244-2-4-42-4-2-2000022-22-22-2000000000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ964-44-4-44-44-24222-44-244-2-4-42-4-2-2000022-22-22-20000000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ974-4-44-444-44-2-4442-2-4224-2-2-42-4-200002-2-2-222200004i−4i−4i4i0000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ984-4-44-444-44-2-4442-2-4224-2-2-42-4-200002-2-2-22220000−4i4i4i−4i00000000000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ994-4-44-444-4-242-2-2-442-4-4-2442-42-200002-2-2-222200000000000000000000000000000000000004-400000000000000000000-2200000000000
χ1004-4-44-444-4-242-2-2-442-4-4-2442-42-200002-2-2-22220000000000000000000000000000000000000-44000000000000000000002-200000000000
χ1014-4-4-44-4444-2-4-4422-4-22-42-24-24-20000222-2-2-22000000000000000000000000000000000004-40000-22-22000000000000000000000000000
χ1024-4-4-44-4444-2-4-4422-4-22-42-24-24-20000222-2-2-2200000000000000000000000000000000000-4400002-22-2000000000000000000000000000
χ1034-4-4-44-444-2422-2-4-424-42-44-24-2-20000222-2-2-220000000000000000000000000000000004-400000000000000000000000000-22000000000
χ1044-4-4-44-444-2422-2-4-424-42-44-24-2-20000222-2-2-22000000000000000000000000000000000-44000000000000000000000000002-2000000000
χ1058-8888-8-8-8-4-44-4444-44-44-44-4-4420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-88-88-4-44444-4-4-4-4-44444-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-888-8-4-44-4-44-4444-4-4-444420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-4444-4444-4-4-4-420000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000

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