Finite Group Databasebeta

← Group #11819101

Character table — Group #11819101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444466661212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11
χ17222222222-122-1-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-10000020000-1-1-1-1000000000
χ18222222222-122-1-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2001111111100000-200001111000000000
χ19222222222-122-1-1-1-122222-1-1-1-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-2-2-211-1-1-1-111111111-2-2000022001111-1-1-1-100000-20000-1-111000000000
χ20222222222-122-1-1-1-122222-1-1-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-2-2-2-211-1-1-1-111111111220000-2-200-1-1-1-11111000002000011-1-1000000000
χ21222222222-122-1-1-1-122222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-21122-2-2111111-1-1-1-11111220000-2-200-1-1-1-1-1-1-1-100000-200001111000000000
χ22222222222-122-1-1-1-122222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21122-2-2111111-1-1-1-11111-2-200002200111111110000020000-1-1-1-1000000000
χ23222222222-122-1-1-1-122222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-222-1-111111111-1-1-1-1-2-20000-2-2001111-1-1-1-1000002000011-1-1000000000
χ24222222222-122-1-1-1-122222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-222-1-111111111-1-1-1-12200002200-1-1-1-1111100000-20000-1-111000000000
χ2522222222-12-1-12222-1-1-1-1-1222-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222002200000000000020-1-1-1-10000-1-1-1-100000
χ2622222222-12-1-12222-1-1-1-1-1222-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-2000000000000-2011110000111100000
χ2722222222-12-1-12222-1-1-1-1-1222-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-1111111110022-2-20022000000000000-20-1-1110000-1-11100000
χ2822222222-12-1-12222-1-1-1-1-1222-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-11111111100-2-22200-2-20000000000002011-1-1000011-1-100000
χ2922222222-12-1-12222-1-1-1-1-1222-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-1111100222200-2-2000000000000-20-1-1-1-10000111100000
χ3022222222-12-1-12222-1-1-1-1-1222-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-1111100-2-2-2-200220000000000002011110000-1-1-1-100000
χ3122222222-12-1-12222-1-1-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-10022-2-200-2-200000000000020-1-111000011-1-100000
χ3222222222-12-1-12222-1-1-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-100-2-2220022000000000000-2011-1-10000-1-11100000
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χ35222-2-22-2-22222222-2-22-2-2-2-2-2-220000222-2-2-2-20000000000000000000000000000000-22002-20000-2-2220000-2-22200002-20000000000000
χ36222-2-22-2-22222222-2-22-2-2-2-2-2-220000222-2-2-2-20000000000000000000000000000000-2200-220000-2-222000022-2-20000-220000000000000
χ3722-22-2-2-22222-22-2-22-2-222-22-2-22002i−2i2-2-222-2-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i00000000000000000000002i−2i2i−2i00000000000000002-20
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χ3922-22-2-2-22222-22-2-22-2-222-22-2-2200−2i2i2-2-222-2-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i00000000000000000000002i−2i2i−2i0000000000000000-220
χ4022-22-2-2-22222-22-2-22-2-222-22-2-2200−2i2i2-2-222-2-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i0000000000000000000000−2i2i−2i2i00000000000000002-20
χ4122-2-22-22-2222-22-2-2-22-2-2-22-222200002-2-2-2-222000022-2-200000000000000000000000002i−2i000000000022-2-22i−2i−2i2i002i−2i000000000000000
χ4222-2-22-22-2222-22-2-2-22-2-2-22-222200002-2-2-2-222000022-2-20000000000000000000000000−2i2i000000000022-2-2−2i2i2i−2i00−2i2i000000000000000
χ4322-2-22-22-2222-22-2-2-22-2-2-22-222200002-2-2-2-2220000-2-22200000000000000000000000002i−2i0000000000-2-222−2i2i2i−2i002i−2i000000000000000
χ4422-2-22-22-2222-22-2-2-22-2-2-22-222200002-2-2-2-2220000-2-2220000000000000000000000000−2i2i0000000000-2-2222i−2i−2i2i00−2i2i000000000000000
χ452-22-2-2-22222-2-2-22-2-2-22-22222-220000-22-2-222-200002-22-200000000000000000000000000000002-200002-22-2000000000000002-2002-2000
χ462-22-2-2-22222-2-2-22-2-2-22-22222-220000-22-2-222-200002-22-20000000000000000000000000000000-2200002-22-200000000000000-2200-22000
χ472-22-2-2-22222-2-2-22-2-2-22-22222-220000-22-2-222-20000-22-2200000000000000000000000000000002-20000-22-22000000000000002-200-22000
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χ492-2-22-222-222-22-2-222-2-22-22-22-222i−2i00-2-222-22-200002-2-2202i−2i2i−2i0000002i2i−2i−2i000000000000002i−2i0000002-2-2200000000002i−2i00000000000
χ502-2-22-222-222-22-2-222-2-22-22-22-222i−2i00-2-222-22-20000-222-202i−2i2i−2i0000002i2i−2i−2i00000000000000−2i2i000000-222-20000000000−2i2i00000000000
χ512-2-22-222-222-22-2-222-2-22-22-22-22−2i2i00-2-222-22-200002-2-220−2i2i−2i2i000000−2i−2i2i2i00000000000000−2i2i0000002-2-220000000000−2i2i00000000000
χ522-2-22-222-222-22-2-222-2-22-22-22-22−2i2i00-2-222-22-20000-222-20−2i2i−2i2i000000−2i−2i2i2i000000000000002i−2i000000-222-200000000002i−2i00000000000
χ532-2-22-222-22-1-2211-1-1-2-22-221-11-12i−2i0011-1-11-11−i3i3−i3i32-2-2202i−2i−ii00003−3−i−iii−i3i3−i3i333−3−30000002i−2i00−i3i3−i3i3-111-10000000000−ii3−3000000000
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χ552-2-22-222-22-1-2211-1-1-2-22-221-11-12i−2i0011-1-11-11i3−i3i3−i32-2-2202i−2i−ii0000−33−i−iiii3−i3i3−i3−3−3330000002i−2i00i3−i3i3−i3-111-10000000000−ii−33000000000
χ562-2-22-222-22-1-2211-1-1-2-22-221-11-12i−2i0011-1-11-11i3−i3i3−i3-222-202i−2i−ii0000−33−i−iiii3−i3i3−i3−3−333000000−2i2i00−i3i3−i3i31-1-110000000000i−i3−3000000000
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χ954-4-44-444-4-242-2-4-44422-22-2-44-4-2−4i4i0022-2-22-220000000002i−2i−4i4i0000002i2i−2i−2i0000000000000000000000000000000000000000000000000
χ964-4-44-444-4-2-22-222-2-222-22-22-2214i−4i00-1-111-11-1−2i32i3−2i32i300000−2i2i−2i2i000023−23ii−i−ii3−i3i3−i3−3−33300000000000000000000000000000000000000000
χ974-4-44-444-4-2-22-222-2-222-22-22-2214i−4i00-1-111-11-12i3−2i32i3−2i300000−2i2i−2i2i0000−2323ii−i−i−i3i3−i3i333−3−300000000000000000000000000000000000000000
χ984-4-44-444-4-2-22-222-2-222-22-22-221−4i4i00-1-111-11-1−2i32i3−2i32i3000002i−2i2i−2i0000−2323−i−iiii3−i3i3−i333−3−300000000000000000000000000000000000000000
χ994-4-44-444-4-2-22-222-2-222-22-22-221−4i4i00-1-111-11-12i3−2i32i3−2i3000002i−2i2i−2i000023−23−i−iii−i3i3−i3i3−3−33300000000000000000000000000000000000000000
χ1004-4-4-444-4444-44-4-44-44-4-44-44-4440000-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4422-224-4-44-4-22-2-2000022-22-22-200000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ1024-4-4-444-444-2-4422-224-4-44-4-22-2-2000022-22-22-2000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ1034-4-4-444-44-242-2-4-44-4-222-224-44-2000022-22-22-20000000000000000000000000000000000000000000000000000000000000000023−2300000
χ1044-4-4-444-44-242-2-4-44-4-222-224-44-2000022-22-22-200000000000000000000000000000000000000000000000000000000000000000−232300000
χ105888-8-88-8-8-4-4-4-4-4-4-444-444444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-44-4444-4444-44-4-4200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-4444-4444-44-4-4-4-4420000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-44-444-44-444-44-44-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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