Finite Group Databasebeta

← Group #11824454

Character table — Group #11824454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244442666666661212121212121212121212121212222244444466661212121244442266666612121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1111
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1111
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1
χ17222222222-122222-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100222200220000000000000200-1-1-1-1-1-1-1-10000000
χ18222222222-122222-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-200-2-20000000000000-200111111110000000
χ19222222222-122222-1-1-1-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-2111111-1-11122-1-1-1-111110022-2-200-2-20000000000000200-1-1-1-111110000000
χ20222222222-122222-1-1-1-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-2111111-1-11122-1-1-1-1111100-2-22200220000000000000-2001111-1-1-1-10000000
χ21222222222-122222-1-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-122220000-2-2-211111111-1-1-2-21111-1-1-1-100222200-2-20000000000000-200-1-111-1-1110000000
χ22222222222-122222-1-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-122220000-2-2-211111111-1-1-2-21111-1-1-1-100-2-2-2-20022000000000000020011-1-111-1-10000000
χ23222222222-122222-1-1-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-2111111110022-2-200220000000000000-200-1-11111-1-10000000
χ24222222222-122222-1-1-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-21111111100-2-22200-2-2000000000000020011-1-1-1-1110000000
χ2522222222-12-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-1000020-1-100000000-1-100000
χ2622222222-12-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-20000-2-200111111110000-2011000000001100000
χ2722222222-12-1-1-1-1-12222222-1-1-122-2-2-1-1-1-1-1-1-111112222-211-2-2111122-2-2-1-1-1-1-1-11111-2-2000022001111-1-1-1-10000-201100000000-1-100000
χ2822222222-12-1-1-1-1-12222222-1-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-211-2-2111122-2-2-1-1-1-1-1-11111220000-2-200-1-1-1-11111000020-1-1000000001100000
χ2922222222-12-1-1-1-1-12222222-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-211-2-21111-2-222111111-1-1-1-1220000-2-200-1-1-1-1-1-1-1-10000-2011000000001100000
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χ3122222222-12-1-1-1-1-12222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-2-2-21111111111-2-20000-2-2001111-1-1-1-1000020-1-1000000001100000
χ3222222222-12-1-1-1-1-12222222-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-1-2-2-2-211111111112200002200-1-1-1-111110000-201100000000-1-100000
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χ35222-2-22-2-222222-2-2222-2-2-2-2-2-2200−2i2i222-2-2-2-2−2i−2i2i2i000000000000000−2i2i000000−2i−2i2i2i00000000000000000022-2-20000000000000000−2i2i0
χ36222-2-22-2-222222-2-2222-2-2-2-2-2-2200−2i2i222-2-2-2-2−2i−2i2i2i000000000000000−2i2i000000−2i−2i2i2i000000000000000000-2-22200000000000000002i−2i0
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χ4122-2-22-2-22-12-111112-2-222-2-2-1-1-12-200-11111-1-1−i3i3−i3i322-2-20−i3i300−i3−i3i3i32-200-11-1-111−i3i3−i3i30000002-200−i3−i3i3i3-1-111000000−i3i300000000-1100000
χ4222-2-22-2-22-12-111112-2-222-2-2-1-1-12-200-11111-1-1−i3i3−i3i3-2-2220−i3i300−i3−i3i3i32-200-11-1-111−i3i3−i3i3000000-2200i3i3−i3−i311-1-1000000i3−i3000000001-100000
χ4322-2-22-2-22-12-111112-2-222-2-2-1-1-12-200-11111-1-1i3−i3i3−i322-2-20i3−i300i3i3−i3−i32-200-11-1-111i3−i3i3−i30000002-200i3i3−i3−i3-1-111000000i3−i300000000-1100000
χ4422-2-22-2-22-12-111112-2-222-2-2-1-1-12-200-11111-1-1i3−i3i3−i3-2-2220i3−i300i3i3−i3−i32-200-11-1-111i3−i3i3−i3000000-2200−i3−i3i3i311-1-1000000−i3i3000000001-100000
χ4522-2-22-2-22-12-111112-2-222-2-2-1-1-1-2200-11111-1-1−i3i3−i3i322-2-20i3−i300i3i3−i3−i3-22001-111-1-1−i3i3−i3i3000000-2200−i3−i3i3i3-1-111000000i3−i3000000001-100000
χ4622-2-22-2-22-12-111112-2-222-2-2-1-1-1-2200-11111-1-1−i3i3−i3i3-2-2220i3−i300i3i3−i3−i3-22001-111-1-1−i3i3−i3i30000002-200i3i3−i3−i311-1-1000000−i3i300000000-1100000
χ4722-2-22-2-22-12-111112-2-222-2-2-1-1-1-2200-11111-1-1i3−i3i3−i322-2-20−i3i300−i3−i3i3i3-22001-111-1-1i3−i3i3−i3000000-2200i3i3−i3−i3-1-111000000−i3i3000000001-100000
χ4822-2-22-2-22-12-111112-2-222-2-2-1-1-1-2200-11111-1-1i3−i3i3−i3-2-2220−i3i300−i3−i3i3i3-22001-111-1-1i3−i3i3−i30000002-200−i3−i3i3i311-1-1000000i3−i300000000-1100000
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χ944-44-4-4-4444-2-44-44-42-22-22-224-4-200002-22-22-22000000000000000000000000000000000000000-4400000000000000000000002-20000000
χ954-44-4-4-444-242-22-22-44-44-44-4-22-200002-22-22-2200004-44-40000000000000000000000000000000000000-22-2200000000000000000000000
χ964-44-4-4-444-242-22-22-44-44-44-4-22-200002-22-22-220000-44-4400000000000000000000000000000000000002-22-200000000000000000000000
χ974-4-44-44-444-2-4-44-4422-2-222-24-4-2000022-22-2-22000000000000000000000000000000000004-4000000000000000000000000-22000000000
χ984-4-44-44-444-2-4-44-4422-2-222-24-4-2000022-22-2-2200000000000000000000000000000000000-440000000000000000000000002-2000000000
χ994-4-44-44-44-2422-22-2-4-444-4-44-22-2000022-22-2-2200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ1004-4-44-44-44-2422-22-2-4-444-4-44-22-2000022-22-2-220000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ1014-4-4-4444-44-2-4-444-422-22-2-22-44-2000022-2-222-20000000000000000000000000000000004-40000000000000000000000-220000000000000
χ1024-4-4-4444-44-2-4-444-422-22-2-22-44-2000022-2-222-2000000000000000000000000000000000-4400000000000000000000002-20000000000000
χ1034-4-4-4444-4-2422-2-22-4-44-444-42-2-2000022-2-222-200000000000000000000000000000004-400000000-22-22000000000000000000000000000
χ1044-4-4-4444-4-2422-2-22-4-44-444-42-2-2000022-2-222-20000000000000000000000000000000-44000000002-22-2000000000000000000000000000
χ1058-8888-8-8-8-4-44-444-44-444-44-44-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-888-4-44-44-444-44-44-44-4420000-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88-4-444-44-444-4-444-4-4420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-444-4-4444-44-4-444-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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