Finite Group Databasebeta

← Group #11812917

Character table — Group #11812917

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212122222246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1
χ17222222222-122-1-122-1-122-1-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022220000000000000200-1-100-1-1-1-1-1-100000
χ18222222222-122-1-122-1-122-1-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-200110011111100000
χ19222222222-122-1-122-1-122-1-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111220000-2-2220000000000000-200-1-1001111-1-100000
χ20222222222-122-1-122-1-122-1-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-2000022-2-200000000000002001100-1-1-1-11100000
χ21222222222-122-1-122-1-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-11111-1-1-1-11111220000-2-2-2-20000000000000200-1-100-1-1111100000
χ22222222222-122-1-122-1-122-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-11111-1-1-1-11111-2-2000022220000000000000-200110011-1-1-1-100000
χ23222222222-122-1-122-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-1-1-2-21111111111-1-1-1-122000022-2-20000000000000-200-1-10011-1-11100000
χ24222222222-122-1-122-1-122-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-1-1-2-21111111111-1-1-1-1-2-20000-2-22200000000000002001100-1-111-1-100000
χ2522222222-12-1-122-1-122-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-1000020-1-100-1-100000000000
χ2622222222-12-1-122-1-122-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2011001100000000000
χ2722222222-12-1-122-1-122-1-122-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-1111111110022-2-20000-1-1-1-1-1-1-1-10000-2011001100000000000
χ2822222222-12-1-122-1-122-1-122-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-11111111100-2-222000011111111000020-1-100-1-100000000000
χ2922222222-12-1-122-1-122-1-122-12-1-2-222-1-1-1-1-1-1-111112222-2-2-211-2-2-1-1221111-1-1-1-1111100-2-22200001111-1-1-1-10000-201100-1-100000000000
χ3022222222-12-1-122-1-122-1-122-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-2-2-1-1221111-1-1-1-111110022-2-20000-1-1-1-11111000020-1-1001100000000000
χ3122222222-12-1-122-1-122-1-122-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-1-12211-2-211111111-1-1-1-100-2-2-2-200001111-1-1-1-1000020-1-1001100000000000
χ3222222222-12-1-122-1-122-1-122-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-1-12211-2-211111111-1-1-1-10022220000-1-1-1-111110000-201100-1-100000000000
χ3322-2-222-2-2222-22-2-2-2-2-22222-2-220000222-2-2-2-200002i2i−2i−2i00000000000000000000000000000002i−2i00002i2i−2i−2i22-2-20000000000002i−2i00000
χ3422-2-222-2-2222-22-2-2-2-2-22222-2-220000222-2-2-2-200002i2i−2i−2i0000000000000000000000000000000−2i2i00002i2i−2i−2i-2-222000000000000−2i2i00000
χ3522-2-222-2-2222-22-2-2-2-2-22222-2-220000222-2-2-2-20000−2i−2i2i2i00000000000000000000000000000002i−2i0000−2i−2i2i2i-2-2220000000000002i−2i00000
χ3622-2-222-2-2222-22-2-2-2-2-22222-2-220000222-2-2-2-20000−2i−2i2i2i0000000000000000000000000000000−2i2i0000−2i−2i2i2i22-2-2000000000000−2i2i00000
χ372-22-22-22-222-22-222-22-22-22-2-2-22002i−2i2-2-222-2-200002i−2i2i−2i00000002i−2i2i−2i00002i2i−2i−2i000000002-2000000002i−2i2i−2i00000000002-200000000000
χ382-22-22-22-222-22-222-22-22-22-2-2-22002i−2i2-2-222-2-20000−2i2i−2i2i00000002i−2i2i−2i00002i2i−2i−2i00000000-2200000000−2i2i−2i2i0000000000-2200000000000
χ392-22-22-22-222-22-222-22-22-22-2-2-2200−2i2i2-2-222-2-200002i−2i2i−2i0000000−2i2i−2i2i0000−2i−2i2i2i00000000-22000000002i−2i2i−2i0000000000-2200000000000
χ402-22-22-22-222-22-222-22-22-22-2-2-2200−2i2i2-2-222-2-20000−2i2i−2i2i0000000−2i2i−2i2i0000−2i−2i2i2i000000002-200000000−2i2i−2i2i00000000002-200000000000
χ412-22-22-22-2-121-1-22-112-2-112-21-2-1002i−2i-111-1-111−i3−i3i3i32i−2i2i−2i0003−300−ii2i−2i−i3−i3i3i3−i−iii33−3−300002-2000033−3−3−ii−ii000000−i3i300-1100000000000
χ422-22-22-22-2-121-1-22-112-2-112-21-2-1002i−2i-111-1-111−i3−i3i3i3−2i2i−2i2i0003−300−ii2i−2i−i3−i3i3i3−i−iii33−3−30000-220000−3−333i−ii−i000000i3−i3001-100000000000
χ432-22-22-22-2-121-1-22-112-2-112-21-2-1002i−2i-111-1-111i3i3−i3−i32i−2i2i−2i000−3300−ii2i−2ii3i3−i3−i3−i−iii−3−33300002-20000−3−333−ii−ii000000i3−i300-1100000000000
χ442-22-22-22-2-121-1-22-112-2-112-21-2-1002i−2i-111-1-111i3i3−i3−i3−2i2i−2i2i000−3300−ii2i−2ii3i3−i3−i3−i−iii−3−3330000-22000033−3−3i−ii−i000000−i3i3001-100000000000
χ452-22-22-22-2-121-1-22-112-2-112-21-2-100−2i2i-111-1-111−i3−i3i3i32i−2i2i−2i000−3300i−i−2i2i−i3−i3i3i3ii−i−i−3−3330000-22000033−3−3−ii−ii000000i3−i3001-100000000000
χ462-22-22-22-2-121-1-22-112-2-112-21-2-100−2i2i-111-1-111−i3−i3i3i3−2i2i−2i2i000−3300i−i−2i2i−i3−i3i3i3ii−i−i−3−33300002-20000−3−333i−ii−i000000−i3i300-1100000000000
χ472-22-22-22-2-121-1-22-112-2-112-21-2-100−2i2i-111-1-111i3i3−i3−i32i−2i2i−2i0003−300i−i−2i2ii3i3−i3−i3ii−i−i33−3−30000-220000−3−333−ii−ii000000−i3i3001-100000000000
χ482-22-22-22-2-121-1-22-112-2-112-21-2-100−2i2i-111-1-111i3i3−i3−i3−2i2i−2i2i0003−300i−i−2i2ii3i3−i3−i3ii−i−i33−3−300002-2000033−3−3i−ii−i000000i3−i300-1100000000000
χ492-22-2-22-2222-2-2-2-22-22-2-22-222220000-22-2-222-200000000000000000000000000000002-22-20000002-22-200002-22-200002-20000000000000
χ502-22-2-22-2222-2-2-2-22-22-2-22-222220000-22-2-222-200000000000000000000000000000002-2-22000000-22-220000-22-2200002-20000000000000
χ512-22-2-22-2222-2-2-2-22-22-2-22-222220000-22-2-222-20000000000000000000000000000000-222-20000002-22-20000-22-220000-220000000000000
χ522-22-2-22-2222-2-2-2-22-22-2-22-222220000-22-2-222-20000000000000000000000000000000-22-22000000-22-2200002-22-20000-220000000000000
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χ542-2-222-2-2222-2-2-2-2-22-222-22-222200002-2-2-2-22200002-2-2200000000000000000000000000000-220000002-2-2200000000000000-220000-220
χ552-2-222-2-2222-2-2-2-2-22-222-22-222200002-2-2-2-2220000-222-2000000000000000000000000000002-2000000-222-2000000000000002-20000-220
χ562-2-222-2-2222-2-2-2-2-22-222-22-222200002-2-2-2-2220000-222-200000000000000000000000000000-22000000-222-200000000000000-2200002-20
χ572-2-22-222-222-22-22-22-22-22-22-2-222i−2i00-22-22-2-222i−2i2i−2i000002i−2i000000002i−2i2i−2i000000000000000000000000002-2-22000000000000002i−2i000
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χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ964-4-444-4-44-2422-4-42-2-44-224-4-24-20000-22222-2-20000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ974-4-44-444-44-2-442-2-442-2-442-2-42-24i−4i002-22-222-24i−4i4i−4i00000−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ984-4-44-444-44-2-442-2-442-2-442-2-42-2−4i4i002-22-222-2−4i4i−4i4i000002i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ994-4-44-444-4-242-2-442-2-442-2-442-4-24i−4i002-22-222-2−2i2i−2i2i000004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ1004-4-44-444-4-242-2-442-2-442-2-442-4-2−4i4i002-22-222-22i−2i2i−2i00000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-22-22-22-22-22-22-22214i−4i00-11-11-1-11−2i2i−2i2i00000−2i2i00000000i−ii−i3i−3i−3i3i3-3-3300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-22-22-22-22-22-22-22214i−4i00-11-11-1-11−2i2i−2i2i00000−2i2i00000000i−ii−i−3i3i3i−3i-333-300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-22-22-22-22-22-22-2221−4i4i00-11-11-1-112i−2i2i−2i000002i−2i00000000−ii−ii3i−3i−3i3i-333-300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-22-22-22-22-22-22-2221−4i4i00-11-11-1-112i−2i2i−2i000002i−2i00000000−ii−ii−3i3i3i−3i3-3-3300000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-4-44-44-4-4-4-444444420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-44-444444-4-4-4-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-44444-44-444-44-4-4-420000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-444444-44-4-44-44-4-4200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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