Finite Group Databasebeta

← Group #11887157

Character table — Group #11887157

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122233444466666612121212344466612121212121212121212121288884121212121212121212121212121212121212121212228888882424242424242424222222466121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-1111-11-1-11
χ1722222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-222000000000002-20000
χ2122222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ2222222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ2322222-12222-122-1-122222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-11111111100002222000000000000-2-200000-1-1-1-1001100
χ2422222-12222-122-1-122222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000000002200000111100-1-100
χ2522222-1-2-222-122-1-12-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-11111000022-2-20000000000002-200000-1-11100-1100
χ2622222-1-2-222-122-1-12-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-111110000-2-222000000000000-220000011-1-1001-100
χ2722222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-1000022-2-2000000000000-2200000-1-111001-100
χ2822222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-10000-2-2220000000000002-20000011-1-100-1100
χ292222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ302222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ312222-1222222-1-122-1-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-122222-2211-2-211-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ322222-1222222-1-122-1-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2211-2-211-2-2-1-1-1-11111111122-2-20000111111110000002-1-1-1-10000000000
χ332222-12-2-2222-1-122-11111-1-222-1-1-1-2-22111111-1-122222-2-2-1-12211-2-2-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ342222-12-2-2222-1-122-11111-1-222-1-1-1-2-22111111-1-12-2-2-2-2-2-2-1-12211-2-2-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000211-1-10000000000
χ352222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-1222222-211-2-2-1-122-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ362222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-12-2-2-2-22-211-2-2-1-122-1-1111111-1-1-1-1222200001111-1-1-1-1000000-2-1-1110000000000
χ3722-2-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000−i2−i2i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22-20000000−i2i2−i2i2000000
χ3822-2-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000−i2−i2i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-22-220000000i2−i2i2−i2000000
χ3922-2-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000i2i2−i2−i2000000000000000000000000i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-22-220000000−i2i2−i2i2000000
χ4022-2-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000i2i2−i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-22-20000000i2−i2i2−i2000000
χ4122-2-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000−i2−i2i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i22-2-220000000−i2i2i2−i2000000
χ4222-2-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000−i2−i2i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2-222-20000000i2−i2−i2i2000000
χ4322-2-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000i2i2−i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2-222-20000000−i2i2i2−i2000000
χ4422-2-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000i2i2−i2−i2000000000000000000000000−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i22-2-220000000i2−i2−i2i2000000
χ452-22-222002-2-22-22-2-20000202i−2i-22-20020000002-2-22i−2i2i−2i002i−2i2i−2i00002-2002i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-22-222002-2-22-22-2-20000202i−2i-22-20020000002-2-2−2i2i−2i2i002i−2i2i−2i00002-2002i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-22-222002-2-22-22-2-2000020−2i2i-22-20020000002-2-22i−2i2i−2i00−2i2i−2i2i00002-200−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-22-222002-2-22-22-2-2000020−2i2i-22-20020000002-2-2−2i2i−2i2i00−2i2i−2i2i00002-200−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-22-2-12002-2-2-112-213−33−3-102i−2i1-110023−33−33−3-11-22i−2i2i−2i00−ii2i−2i−i3i300-113−3−i−iii−i3−i3i3i32-2000000−ii−ii−i3i3−i3i30000000-113−30000000000
χ502-22-2-12002-2-2-112-213−33−3-102i−2i1-110023−33−33−3-11-2−2i2i−2i2i00−ii2i−2i−i3i300-113−3−i−iii−i3−i3i3i3-22000000i−ii−ii3−i3i3−i300000001-1−330000000000
χ512-22-2-12002-2-2-112-213−33−3-10−2i2i1-110023−33−33−3-11-22i−2i2i−2i00i−i−2i2ii3−i300-113−3ii−i−ii3i3−i3−i3-22000000−ii−ii−i3i3−i3i300000001-1−330000000000
χ522-22-2-12002-2-2-112-213−33−3-10−2i2i1-110023−33−33−3-11-2−2i2i−2i2i00i−i−2i2ii3−i300-113−3ii−i−ii3i3−i3−i32-2000000i−ii−ii3−i3i3−i30000000-113−30000000000
χ532-22-2-12002-2-2-112-21−33−33-102i−2i1-11002−33−33−33-11-22i−2i2i−2i00−ii2i−2ii3−i300-11−33−i−iiii3i3−i3−i32-2000000−ii−iii3−i3i3−i30000000-11−330000000000
χ542-22-2-12002-2-2-112-21−33−33-102i−2i1-11002−33−33−33-11-2−2i2i−2i2i00−ii2i−2ii3−i300-11−33−i−iiii3i3−i3−i3-22000000i−ii−i−i3i3−i3i300000001-13−30000000000
χ552-22-2-12002-2-2-112-21−33−33-10−2i2i1-11002−33−33−33-11-22i−2i2i−2i00i−i−2i2i−i3i300-11−33ii−i−i−i3−i3i3i3-22000000−ii−iii3−i3i3−i300000001-13−30000000000
χ562-22-2-12002-2-2-112-21−33−33-10−2i2i1-11002−33−33−33-11-2−2i2i−2i2i00i−i−2i2i−i3i300-11−33ii−i−i−i3−i3i3i32-2000000i−ii−i−i3i3−i3i30000000-11−330000000000
χ5744444-244-4-4-244-2-244444-2-400-2-2-2-2-22-4-4-2-2-2-2-4-42000002000000002222000000000000000000000000000000000000000000000
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χ624444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-21111-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ654444-2-2-4-444-2-2-2-2-2-222221-44411122-222-1-1-1-1-2-2-20000-42-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-20000422222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
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χ864-44-4-2-2004-42-22-222−2323−2323104i−4i-11-100-2−23233−33−3-222000000−2i2i−2i2i2i3−2i3001-13−3ii−i−i−i3−i3i3i30000000000000000000000000000000000000
χ874-44-4-2-2004-42-22-222−2323−232310−4i4i-11-100-2−23233−33−3-2220000002i−2i2i−2i−2i32i3001-13−3−i−iiii3i3−i3−i30000000000000000000000000000000000000
χ884-44-4-2-200-442-22-22223−2323−231000-11-1002−2323−33−332-2-2000000000000−2i32i3-113−3−3i3i3i−3ii3−i3−i3i30000000000000000000000000000000000000
χ894-44-4-2-200-442-22-22223−2323−231000-11-1002−2323−33−332-2-20000000000002i3−2i3-113−33i−3i−3i3i−i3i3i3−i30000000000000000000000000000000000000
χ904-44-4-2-200-442-22-222−2323−23231000-11-100223−233−33−32-2-2000000000000−2i32i3-11−333i−3i−3i3ii3−i3−i3i30000000000000000000000000000000000000
χ914-44-4-2-200-442-22-222−2323−23231000-11-100223−233−33−32-2-20000000000002i3−2i3-11−33−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000000000
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χ944-4-44-240000-42-2-44223−23−2323-200022-20000023−23−232300022−22−2222000000000000000000000000000000−222−2−666−6000000000000000000000
χ954-4-44-240000-42-2-44223−23−2323-200022-20000023−23−2323000−222222−220000000000000000000000000000002−2−226−6−66000000000000000000000
χ964-4-44-240000-42-2-442−232323−23-200022-200000−232323−2300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
χ974-4-44-240000-42-2-442−232323−23-200022-200000−232323−23000−222222−220000000000000000000000000000002−2−22−666−6000000000000000000000
χ9888-8-8-4-48-800-44444-4-4-44420002-2-2-4400022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-8800-44444-444-4-420002-2-24-4000-2-222000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-400004-884-4-80000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000044-44-4443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000044-44-44−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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