Finite Group Databasebeta

← Group #11812932

Character table — Group #11812932

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244442666666661212121212121212121212121212224444444466661212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-11
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ17222222222-1222-1-1-1-12-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-10000-1-1000000000
χ18222222222-1222-1-1-1-12-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011000011000000000
χ19222222222-1222-1-1-1-12-122-12-1-122-2-2-1-1-1-1-1-1-111112222-2-2-211111122-1-1-2-2-1-1-1-11111-2-2002200001111-1-1-1-10000-20110000-1-1000000000
χ20222222222-1222-1-1-1-12-122-12-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-211111122-1-1-2-2-1-1-1-111112200-2-20000-1-1-1-11111000020-1-1000011000000000
χ21222222222-1222-1-1-1-12-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111111-2-211221111-1-1-1-12200-2-20000-1-1-1-1-1-1-1-10000-2011000011000000000
χ22222222222-1222-1-1-1-12-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-2-211221111-1-1-1-1-2-20022000011111111000020-1-10000-1-1000000000
χ23222222222-1222-1-1-1-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-1-1-1-1-2-211-2-211111111-2-200-2-200001111-1-1-1-1000020-1-1000011000000000
χ24222222222-1222-1-1-1-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-1-1-1-1-2-211-2-2111111112200220000-1-1-1-111110000-20110000-1-1000000000
χ2522222222-12-1-1-12222-12-1-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100220022220000000000000200-1-1-1-100-1-1-1-100000
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χ2722222222-12-1-1-12222-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-21111-1-12211-1-1-1-11111002200-2-2-2-20000000000000200-1-1-1-100111100000
χ2822222222-12-1-1-12222-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-21111-1-12211-1-1-1-1111100-2-20022220000000000000-200111100-1-1-1-100000
χ2922222222-12-1-1-12222-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-11111-1-1-1-100220022-2-20000000000000-200-1-11100-1-11100000
χ3022222222-12-1-1-12222-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-11111-1-1-1-100-2-200-2-222000000000000020011-1-10011-1-100000
χ3122222222-12-1-1-12222-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-21111111111002200-2-2220000000000000-200-1-1110011-1-100000
χ3222222222-12-1-1-12222-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-2111111111100-2-20022-2-2000000000000020011-1-100-1-11100000
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χ412-22-222-2-222-2-22-2-22222-22-2-2-220000-2-22-222-200002i−2i2i−2i00000000000000000000000000000002i−2i00002i−2i2i−2i00000000000000002i−2i002-20
χ422-22-222-2-222-2-22-2-22222-22-2-2-220000-2-22-222-200002i−2i2i−2i0000000000000000000000000000000−2i2i00002i−2i2i−2i0000000000000000−2i2i00-220
χ432-22-222-2-222-2-22-2-22222-22-2-2-220000-2-22-222-20000−2i2i−2i2i00000000000000000000000000000002i−2i0000−2i2i−2i2i00000000000000002i−2i00-220
χ442-22-222-2-222-2-22-2-22222-22-2-2-220000-2-22-222-20000−2i2i−2i2i0000000000000000000000000000000−2i2i0000−2i2i−2i2i0000000000000000−2i2i002-20
χ452-2-22-22-2222-22-2-2-2-2-222-2-222222-200-2-2-22-22200002-2-220000000002-22-20022-2-2000000002-2000000002-2-220000000000002-2000000000
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χ472-2-22-22-2222-22-2-2-2-2-222-2-22222-2200-2-2-22-22200002-2-22000000000-22-2200-2-22200000000-22000000002-2-22000000000000-22000000000
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χ532-2-22-22-222-1-22-211112-1-2-2-12-1-1-2200111-11-1-1−i3i3−i3i32-2-22000i3−i3i3i3−i3−i3-221-10011-1-1−i3i3−i3i30000-220000−i3−i3i3i3-111-1000000i3−i300001-1000000000
χ542-2-22-22-222-1-22-211112-1-2-2-12-1-1-2200111-11-1-1−i3i3−i3i3-222-2000i3−i3i3i3−i3−i3-221-10011-1-1−i3i3−i3i300002-20000i3i3−i3−i31-1-11000000−i3i30000-11000000000
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χ934-44-444-4-4-2422-2-4-444-242-2-42-4-2000022-22-2-220000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000
χ944-44-444-4-4-2422-2-4-444-242-2-42-4-2000022-22-2-22000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000
χ954-4-44-44-44-242-22-4-4-4-4-24224-24-24-400222-22-2-200000000000000000-224-400-2-222000000000000000000000000000000000000000000000
χ964-4-44-44-44-242-22-4-4-4-4-24224-24-2-4400222-22-2-2000000000000000002-2-440022-2-2000000000000000000000000000000000000000000000
χ974-4-44-44-44-2-22-222222-2-222-2-2-214-400-1-1-11-111−2i32i3−2i32i30000000−2i32i3i3i3−i3−i3-22-220011-1-1i3−i3i3−i300000000000000000000000000000000000000000
χ984-4-44-44-44-2-22-222222-2-222-2-2-214-400-1-1-11-1112i3−2i32i3−2i300000002i3−2i3−i3−i3i3i3-22-220011-1-1−i3i3−i3i300000000000000000000000000000000000000000
χ994-4-44-44-44-2-22-222222-2-222-2-2-21-4400-1-1-11-111−2i32i3−2i32i300000002i3−2i3−i3−i3i3i32-22-200-1-111i3−i3i3−i300000000000000000000000000000000000000000
χ1004-4-44-44-44-2-22-222222-2-222-2-2-21-4400-1-1-11-1112i3−2i32i3−2i30000000−2i32i3i3i3−i3−i32-22-200-1-111−i3i3−i3i300000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-44-222-2-424-424-2-20000-2222-22-200000000000000000000000000000004-400000000-22-22000000000000000000000000000
χ1024-4-4-44-4444-2-4-44-222-2-424-424-2-20000-2222-22-20000000000000000000000000000000-44000000002-22-2000000000000000000000000000
χ1034-4-4-44-444-2422-24-4-442-4-22-4-24-20000-2222-22-20000000000000000000000000000000004-40000000000000000000000-220000000000000
χ1044-4-4-44-444-2422-24-4-442-4-22-4-24-20000-2222-22-2000000000000000000000000000000000-4400000000000000000000002-20000000000000
χ105888-8-8-8-88-4-4-4444-4-44444-44-4-420000-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-4-444-4-4-444442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-444-444-4-4-4-44-444420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-4-444-444-444-4-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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