Finite Group Databasebeta

← Group #11867818

Character table — Group #11867818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121288884412121212121212121212121212121212121212122244882424242424242424244466661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111111-1-1
χ91111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-1111111-11111-1-1-1-111-1-11111-1-1-1-11-11-1-1-11111-1-1-1-111-1-11-11111-1-11-1-1-111-1-11-1
χ101111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-1111111-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-11111-1-1-1-1-11-11-11-1-111-1-1-1111-1-111-11
χ111111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-111111-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-11111-1-1-11
χ121111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-111111-11-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-11111-1-1-1-11-11-1-1111-1-111-11-1-1-1-1111-1
χ131111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-1-1-111111-11-11-111-1-1111-1-1-1-1-111-11
χ141111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-111-11-1-1-1-111-111111-1-11-1
χ151111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-1-1-11111-11-111-1-1-111-1-11-111-1-1111-1
χ161111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-11-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-11-1111-1-1-1-1111111-1-1-111111-1-1-11-1-111-1-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000002-2-22000000000000002-2000000-2200000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000-222-200000000000000-220000002-200000000
χ192222222-1222222222-12-12-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1200002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000002002-1-1-1-10000-1-1-1-1000000
χ202222222-1222222222-12-12-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1200002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-200-2111100001111000000
χ212222222-1222222222-12-12-1-1-1-1-1-1-1-1-1-1-12-1-122-1-120000-2-2-2-211-2-211-1-1-1-11111111122220000000000-200-2-1-1110000-1-111000000
χ222222222-1222222222-12-12-1-1-1-1-1-1-1-1-1-1-12-1-122-1-120000-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000000000200211-1-1000011-1-1000000
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χ252222222-1-2-2-2-222222-12-12-1-1-1-1-1-1-1-1-1-1-1-211-2-211-200000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-2-2200000000000000-11i3−i300001-1i3−i3000000
χ262222222-1-2-2-2-222222-12-12-1-1-1-1-1-1-1-1-1-1-1-211-2-211-200000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-222-2000000000000001-1−i3i30000-11−i3i3000000
χ27222222-122222-1-1-1-1-12-12-12-122-1-1-1-1-1-1-1-122-1-122-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-102200000-1-1-1-10000000000
χ28222222-122222-1-1-1-1-12-12-12-122-1-1-1-1-1-1-1-122-1-122-12222-2-211-2-211-2-2-1-1-1-111111111000022-1-1-1-1-1-1-1-10-2-20000011110000000000
χ29222222-122222-1-1-1-1-12-12-12-122-1-1-1-1-1-1-1-122-1-122-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110-2-20000011110000000000
χ30222222-122222-1-1-1-1-12-12-12-122-1-1-1-1-1-1-1-122-1-122-1-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000-2-21111111102200000-1-1-1-10000000000
χ312222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-2-2-22222-200000000000000-2-2220000000022-2-20000000000000022000000-2-200000000
χ322222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-2-2-22222-200000000000000-2-22200000000-2-22200000000000000-2-20000002200000000
χ332222-2-22-12-2-222-2-2-2-2-12-12-1-111-11111-1-12-1-1-2-211200002-222-1-1-2-211-1-111-1-1-1-111112-22-20000000000200-2-11-1-10000-1111000000
χ342222-2-22-12-2-222-2-2-2-2-12-12-1-111-11111-1-12-1-1-2-211200002-222-1-1-2-211-1-111-1-1-1-11111-22-220000000000-20021-11100001-1-1-1000000
χ352222-2-22-12-2-222-2-2-2-2-12-12-1-111-11111-1-12-1-1-2-21120000-22-2-21122-1-1-1-1111111-1-1-1-12-22-20000000000-2002-11110000-11-1-1000000
χ362222-2-22-12-2-222-2-2-2-2-12-12-1-111-11111-1-12-1-1-2-21120000-22-2-21122-1-1-1-1111111-1-1-1-1-22-220000000000200-21-1-1-100001-111000000
χ372222-2-22-1-222-22-2-2-2-2-12-12-1-111-11111-1-1-21122-1-1-200000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i322-2-200000000000000-1-1−i3i3000011i3−i3000000
χ382222-2-22-1-222-22-2-2-2-2-12-12-1-111-11111-1-1-21122-1-1-200000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-2220000000000000011i3−i30000-1-1−i3i3000000
χ392222-2-22-1-222-22-2-2-2-2-12-12-1-111-11111-1-1-21122-1-1-200000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i322-2-200000000000000-1-1i3−i3000011−i3i3000000
χ402222-2-22-1-222-22-2-2-2-2-12-12-1-111-11111-1-1-21122-1-1-200000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-2220000000000000011−i3i30000-1-1i3−i3000000
χ412222-2-2-122-2-22-111112-12-12-1-2-2-11111-1-1-12211-2-2-122222-2-1-12211-2-2-1-111-1-1-1-111110000-2-2-1-1-1-1111102-200000-1-1110000000000
χ422222-2-2-122-2-22-111112-12-12-1-2-2-11111-1-1-12211-2-2-12222-2211-2-2-1-122-1-1111111-1-1-1-10000-2-2-1-1-1-111110-220000011-1-10000000000
χ432222-2-2-122-2-22-111112-12-12-1-2-2-11111-1-1-12211-2-2-1-2-2-2-22-2-1-12211-2-2-1-111-1-1-1-111110000221111-1-1-1-10-220000011-1-10000000000
χ442222-2-2-122-2-22-111112-12-12-1-2-2-11111-1-1-12211-2-2-1-2-2-2-2-2211-2-2-1-122-1-1111111-1-1-1-10000221111-1-1-1-102-200000-1-1110000000000
χ452-2-222-22222-2-2-222-2-2-2-2-22222-2-222-2-22-222-22-22-2-22i2i−2i−2i00000000002-22-20000000000002i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ462-2-222-22222-2-2-222-2-2-2-2-22222-2-222-2-22-222-22-22-2-2−2i−2i2i2i00000000002-22-2000000000000−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ472-2-222-222-2-222-222-2-2-2-2-22222-2-222-2-22-2-2-22-22-22200000000000000-22-22000000000000000000000000000000000000002-22-200
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χ492-2-222-2-1222-2-21-1-111-21-2-12-12-21-1-111-11-12-2-112-212i2i−2i−2i003−3003−300-11-113−33−33−33−300002i−2i−i−iii−i−iii00000000−i3i3−i3i30000000000
χ502-2-222-2-1222-2-21-1-111-21-2-12-12-21-1-111-11-12-2-112-212i2i−2i−2i00−3300−3300-11-11−33−33−33−3300002i−2i−i−iii−i−iii00000000i3−i3i3−i30000000000
χ512-2-222-2-1222-2-21-1-111-21-2-12-12-21-1-111-11-12-2-112-21−2i−2i2i2i003−3003−300-11-113−33−33−33−30000−2i2iii−i−iii−i−i00000000i3−i3i3−i30000000000
χ522-2-222-2-1222-2-21-1-111-21-2-12-12-21-1-111-11-12-2-112-21−2i−2i2i2i00−3300−3300-11-11−33−33−33−330000−2i2iii−i−iii−i−i00000000−i3i3−i3i30000000000
χ532-2-22-22222-22-2-2-2-222-2-2-2222-22-2-2-2222-222-2-22-22-22i2i−2i−2i00000000002-2-22000000000000−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ542-2-22-22222-22-2-2-2-222-2-2-2222-22-2-2-2222-222-2-22-22-2−2i−2i2i2i00000000002-2-220000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
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χ562-2-22-2222-22-22-2-2-222-2-2-2222-22-2-2-2222-2-2-222-22-2200000000000000-222-200000000000000000000000000000000000000-222-200
χ572-2-22-22-122-22-2111-1-1-21-2-12-1-22111-1-1-11-12-21-1-2212i2i−2i−2i003−300−3300-111-13−33−3−33−330000−2i2i−i−iiiii−i−i00000000−i3i3i3−i30000000000
χ582-2-22-22-122-22-2111-1-1-21-2-12-1-22111-1-1-11-12-21-1-2212i2i−2i−2i00−33003−300-111-1−33−333−33−30000−2i2i−i−iiiii−i−i00000000i3−i3−i3i30000000000
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χ934-4-44-44-2-24-44-4222-2-2222-2-212-2-1-1-1111-1-2-222-22-2200000023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000
χ944-4-44-44-2-24-44-4222-2-2222-2-212-2-1-1-1111-1-2-222-22-22000000−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000
χ954-4-44-44-2-2-44-44222-2-2222-2-212-2-1-1-1111-122-2-22-22-200000000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ964-4-44-44-2-2-44-44222-2-2222-2-212-2-1-1-1111-122-2-22-22-200000000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ9788-8-8008-4000080000-4-84-84-400-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i3−4i34i3-4444420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i34i3−4i3-444442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-8000048-4-84-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004−4i34i34i3−4i34-4-444200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044i3−4i3−4i34i34-4-444200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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