Finite Group Databasebeta

← Group #11812863

Character table — Group #11812863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212122244444444666612121212222224661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1111111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1
χ17222222222-1222-1-1-1-12-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-1-12-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-1222-1-1-1-12-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-21122-2-2111111-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-1-12-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21122-2-2111111-1-1-1-11111-2-22200000011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-1-1-12-12-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-211-2-222-1-111111111-1-1-1-1-2-2220000001111-1-1-1-10000-2011-1-10000000000000
χ22222222222-1222-1-1-1-12-12-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-2-222-1-111111111-1-1-1-122-2-2000000-1-1-1-11111000020-1-1110000000000000
χ23222222222-1222-1-1-1-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-2-2-2-211-1-1-1-111111111-2-2-2-20000001111-1-1-1-1000020-1-1110000000000000
χ24222222222-1222-1-1-1-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-2-2-2-211-1-1-1-1111111112222000000-1-1-1-111110000-2011-1-10000000000000
χ2522222222-12-1-1-12222-12-12-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-12222-12-12-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-12222-12-12-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-11111000022-2-2220000000000000-2000011-1-1-1-11100000
χ2822222222-12-1-1-12222-12-12-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-111110000-2-222-2-2000000000000020000-1-11111-1-100000
χ2922222222-12-1-1-12222-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211-1-12211111111-1-1-1-1000022-2-2-2-20000000000000200001111-1-1-1-100000
χ3022222222-12-1-1-12222-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211-1-12211111111-1-1-1-10000-2-222220000000000000-20000-1-1-1-1111100000
χ3122222222-12-1-1-12222-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-1221111-2-2-1-1-1-11111111100002222-2-20000000000000-20000-1-111-1-11100000
χ3222222222-12-1-1-12222-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-1221111-2-2-1-1-1-1111111110000-2-2-2-22200000000000002000011-1-111-1-100000
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χ3522-222-2-2-2222-2-222-2-2-2-222-2-2220000222-2-2-2-20000−2i−2i2i2i00000000000000000000000000000002i−2i0000−2i−2i2i2i-2-222000000002i−2i000000000
χ3622-222-2-2-2222-2-222-2-2-2-222-2-2220000222-2-2-2-20000−2i−2i2i2i0000000000000000000000000000000−2i2i0000−2i−2i2i2i22-2-200000000−2i2i000000000
χ372-222-22-2-222-22-22-22-222-2-2-2-2222i−2i002-2-22-22-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i00000000000000000000002-22-2000000000000002i−2i000
χ382-222-22-2-222-22-22-22-222-2-2-2-2222i−2i002-2-22-22-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i0000000000000000000000-22-2200000000000000−2i2i000
χ392-222-22-2-222-22-22-22-222-2-2-2-222−2i2i002-2-22-22-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i00000000000000000000002-22-200000000000000−2i2i000
χ402-222-22-2-222-22-22-22-222-2-2-2-222−2i2i002-2-22-22-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i0000000000000000000000-22-22000000000000002i−2i000
χ412-22-22-2-2222-2-2-2-2-2-2-2222222-22002-2-22-2-2-22200002-22-200000002-22-20000000022-2-2002-200000000002-22-2000000002-20000000000000
χ422-22-22-2-2222-2-2-2-2-2-2-2222222-22002-2-22-2-2-2220000-22-2200000002-22-20000000022-2-200-220000000000-22-2200000000-220000000000000
χ432-22-22-2-2222-2-2-2-2-2-2-2222222-2200-22-22-2-2-22200002-22-20000000-22-2200000000-2-22200-2200000000002-22-200000000-220000000000000
χ442-22-22-2-2222-2-2-2-2-2-2-2222222-2200-22-22-2-2-2220000-22-220000000-22-2200000000-2-222002-20000000000-22-22000000002-20000000000000
χ452-22-22-2-222-1-2-2-211112-12-12-1-2-1002-21-1111-1-1−i3i3−i3i32-22-2000−i3i3002-2-11−i3−i3i3i3−i3i3−i3i3-1-111002-2000000−i3−i3i3i3-11-11000000−i3i3-110000000000000
χ462-22-22-2-222-1-2-2-211112-12-12-1-2-1002-21-1111-1-1−i3i3−i3i3-22-22000−i3i3002-2-11−i3−i3i3i3−i3i3−i3i3-1-11100-22000000i3i3−i3−i31-11-1000000i3−i31-10000000000000
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χ492-22-22-2-222-1-2-2-211112-12-12-1-2-100-221-1111-1-1−i3i3−i3i32-22-2000i3−i300-221-1i3i3−i3−i3−i3i3−i3i311-1-100-22000000−i3−i3i3i3-11-11000000i3−i31-10000000000000
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χ522-22-22-2-222-1-2-2-211112-12-12-1-2-100-221-1111-1-1i3−i3i3−i3-22-22000−i3i300-221-1−i3−i3i3i3i3−i3i3−i311-1-1002-2000000−i3−i3i3i31-11-1000000i3−i3-110000000000000
χ532-2-22-2-22222-2-222-2-22-2-2-2-2222200002-2-2-22-2200000000000000000000000000000002-2002-200002-22-200002-2-2200000000002-20000000
χ542-2-22-2-22222-2-222-2-22-2-2-2-2222200002-2-2-22-2200000000000000000000000000000002-200-2200002-22-20000-222-20000000000-220000000
χ552-2-22-2-22222-2-222-2-22-2-2-2-2222200002-2-2-22-220000000000000000000000000000000-22002-20000-22-220000-222-200000000002-20000000
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χ934-44-44-4-44-2-22222222-2-2-2-2-2-221004-4-11-1-1-111−2i32i3−2i32i30000000−2i32i300-22-22i3i3−i3−i3i3−i3i3−i311-1-100000000000000000000000000000000000000000
χ944-44-44-4-44-2-22222222-2-2-2-2-2-221004-4-11-1-1-1112i3−2i32i3−2i300000002i3−2i300-22-22−i3−i3i3i3−i3i3−i3i311-1-100000000000000000000000000000000000000000
χ954-44-44-4-44-2-22222222-2-2-2-2-2-22100-44-11-1-1-111−2i32i3−2i32i300000002i3−2i3002-22-2−i3−i3i3i3i3−i3i3−i3-1-11100000000000000000000000000000000000000000
χ964-44-44-4-44-2-22222222-2-2-2-2-2-22100-44-11-1-1-1112i3−2i32i3−2i30000000−2i32i3002-22-2i3i3−i3−i3−i3i3−i3i3-1-11100000000000000000000000000000000000000000
χ974-4-44-4-4444-2-4-44-222-2-42-424-24-20000-2222-22-200000000000000000000000000000004-400000000-22-22000000000000000000000000000
χ984-4-44-4-4444-2-4-44-222-2-42-424-24-20000-2222-22-20000000000000000000000000000000-44000000002-22-2000000000000000000000000000
χ994-4-44-4-444-2422-24-4-442-42-4-24-2-20000-2222-22-2000000000000000000000000000000000004-400000000000000000000000000-220000000
χ1004-4-44-4-444-2422-24-4-442-42-4-24-2-20000-2222-22-200000000000000000000000000000000000-44000000000000000000000000002-20000000
χ1014-4-4-4444-44-2-44422-2-2-424-2-42-4-200002-22-2-22200004i−4i−4i4i0000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ1024-4-4-4444-44-2-44422-2-2-424-2-42-4-200002-22-2-2220000−4i4i4i−4i00000000000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ1034-4-4-4444-4-242-2-2-4-4442-4-242-42-200002-22-2-22200000000000000000000000000000000000004-400000000000000000000-2200000000000
χ1044-4-4-4444-4-242-2-2-4-4442-4-242-42-200002-22-2-2220000000000000000000000000000000000000-44000000000000000000002-200000000000
χ10588-888-8-8-8-4-4-444-4-44444-4-444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-444-4-444444-4-4420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-444-4-444-44444-4-4-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44-4-444-4-444-4-444420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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