Finite Group Databasebeta

← Group #11817818

Character table — Group #11817818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244442666666661212121212121212121212121212224444444466661212121244444412121212121212121212121244444
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-1222-1-1-12-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-12-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-1222-1-1-12-122-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-21111112211-2-2-1-1-1-111112200-2-20000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-12-122-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111112211-2-2-1-1-1-11111-2-20022000011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-1-12-122-1-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2111111-2-2-1-1221111-1-1-1-1-2-2002200001111-1-1-1-10000-20-1-1110000000000000
χ22222222222-1222-1-1-12-122-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2111111-2-2-1-1221111-1-1-1-12200-2-20000-1-1-1-1111100002011-1-10000000000000
χ23222222222-1222-1-1-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-1-1-1-1-2-211-2-211111111-2-200-2-200001111-1-1-1-100002011-1-10000000000000
χ24222222222-1222-1-1-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-1-1-1-1-2-211-2-2111111112200220000-1-1-1-111110000-20-1-1110000000000000
χ2522222222-12-1-1-1222-12-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-12-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1222-12-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-11111002200-2-2-2-2000000000000020000-1-1-1-1111100000
χ2822222222-12-1-1-1222-12-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-1111100-2-20022220000000000000-200001111-1-1-1-100000
χ2922222222-12-1-1-1222-12-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211111122-1-11111-1-1-1-100220022-2-20000000000000-20000-1-111-1-11100000
χ3022222222-12-1-1-1222-12-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211111122-1-11111-1-1-1-100-2-200-2-22200000000000002000011-1-111-1-100000
χ3122222222-12-1-1-1222-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-21111111111002200-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-1-1222-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-2111111111100-2-20022-2-200000000000002000011-1-1-1-11100000
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χ34222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-22-200002i2i−2i−2i0000000000000000000000000-2200000000002i2i−2i−2i0000000000-22000000−2i2i000
χ35222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-22-20000−2i−2i2i2i00000000000000000000000002-20000000000−2i−2i2i2i00000000002-2000000−2i2i000
χ36222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-22-20000−2i−2i2i2i0000000000000000000000000-220000000000−2i−2i2i2i0000000000-220000002i−2i000
χ3722-2-222-2-2222-2-22-2-22-2-222-22-2200002-22-2-2-2200000000000000000000000000000002-20000002i−2i22-2-200002i2i−2i−2i0000000000002i−2i00000
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χ422-222-22-2-222-22-2-22-22-22-2-222-220000-22-22-2-2200002-22-200000000000000000000000000000−2i2i0000002-22-2−2i2i−2i2i0000000000−2i2i0000000
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χ442-222-22-2-222-22-2-22-22-22-2-222-220000-22-22-2-220000-22-2200000000000000000000000000000−2i2i000000-22-222i−2i2i−2i0000000000−2i2i0000000
χ452-22-22-2-2222-2-22-222-2-2222-2-2-22002i−2i-222-22-2-200002i−2i−2i2i000000000002i−2i2i−2i00002i2i−2i−2i00002-2000000002i−2i−2i2i0000002-2000000000000000
χ462-22-22-2-2222-2-22-222-2-2222-2-2-22002i−2i-222-22-2-20000−2i2i2i−2i000000000002i−2i2i−2i00002i2i−2i−2i0000-2200000000−2i2i2i−2i000000-22000000000000000
χ472-22-22-2-2222-2-22-222-2-2222-2-2-2200−2i2i-222-22-2-200002i−2i−2i2i00000000000−2i2i−2i2i0000−2i−2i2i2i0000-22000000002i−2i−2i2i000000-22000000000000000
χ482-22-22-2-2222-2-22-222-2-2222-2-2-2200−2i2i-222-22-2-20000−2i2i2i−2i00000000000−2i2i−2i2i0000−2i−2i2i2i00002-200000000−2i2i2i−2i0000002-2000000000000000
χ492-22-22-2-222-1-2-221-1-1-2122-111-2-1002i−2i1-1-11-11133−3−32i−2i−2i2i000−i3i3−i3−i3i3i300−ii2i−2i33−3−3−i−iii00002-20000−i3i3−i3i3−iii−i000000-113−30000000000000
χ502-22-22-2-222-1-2-221-1-1-2122-111-2-1002i−2i1-1-11-11133−3−3−2i2i2i−2i000−i3i3−i3−i3i3i300−ii2i−2i33−3−3−i−iii0000-220000i3−i3i3−i3i−i−ii0000001-1−330000000000000
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χ522-22-22-2-222-1-2-221-1-1-2122-111-2-1002i−2i1-1-11-111−3−333−2i2i2i−2i000i3−i3i3i3−i3−i300−ii2i−2i−3−333−i−iii0000-220000−i3i3−i3i3i−i−ii0000001-13−30000000000000
χ532-22-22-2-222-1-2-221-1-1-2122-111-2-100−2i2i1-1-11-11133−3−32i−2i−2i2i000i3−i3i3i3−i3−i300i−i−2i2i33−3−3ii−i−i0000-220000−i3i3−i3i3−iii−i0000001-1−330000000000000
χ542-22-22-2-222-1-2-221-1-1-2122-111-2-100−2i2i1-1-11-11133−3−3−2i2i2i−2i000i3−i3i3i3−i3−i300i−i−2i2i33−3−3ii−i−i00002-20000i3−i3i3−i3i−i−ii000000-113−30000000000000
χ552-22-22-2-222-1-2-221-1-1-2122-111-2-100−2i2i1-1-11-111−3−3332i−2i−2i2i000−i3i3−i3−i3i3i300i−i−2i2i−3−333ii−i−i0000-220000i3−i3i3−i3−iii−i0000001-13−30000000000000
χ562-22-22-2-222-1-2-221-1-1-2122-111-2-100−2i2i1-1-11-111−3−333−2i2i2i−2i000−i3i3−i3−i3i3i300i−i−2i2i−3−333ii−i−i00002-20000−i3i3−i3i3i−i−ii000000-11−330000000000000
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χ944-4-444-44-44-2-44-4222-4-2-44-2-224-2000022-2-22-22000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ954-4-444-44-4-242-22-4-4-4242-244-4-2-2000022-2-22-220000000000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ964-4-444-44-4-242-22-4-4-4242-244-4-2-2000022-2-22-2200000000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ974-4-4-4-44444-2-4-4422-24-2-4-422-24-24-4002222-2-2-2-22-2200000000000004-40000-22-22000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4-4422-24-2-4-422-24-2-44002222-2-2-22-22-20000000000000-4400002-22-2000000000000000000000000000000000000000000000
χ994-4-4-4-4444-2422-2-4-44-2422-4-44-2-24-4002222-2-2-24-44-40000000000000-220000-22-22000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-2422-2-4-44-2422-4-44-2-2-44002222-2-2-2-44-4400000000000002-200002-22-2000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-222-222-2-2-22222-2-214-400-1-1-1-1111-22-220000000003-3-33-2200001-11-1-333-300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-222-222-2-2-22222-2-214-400-1-1-1-1111-22-22000000000-333-3-2200001-11-13-3-3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-222-222-2-2-22222-2-21-4400-1-1-1-11112-22-20000000003-3-332-20000-11-113-3-3300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-222-222-2-2-22222-2-21-4400-1-1-1-11112-22-2000000000-333-32-20000-11-11-333-300000000000000000000000000000000000000000
χ105888-8-8-88-8-4-4-444-4-444-4-44444-42000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-444-444-444-4-44-44200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-44-444-44-44-444-4-4420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-44-444444-44-4-4-44-420000-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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