Finite Group Databasebeta

← Group #11788624

Character table — Group #11788624

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121288886688121224242424242424242424242424242424224488242424242424242444668812121212121224242424888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1
χ91-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1i−iiiii−i−i−i−ii−i1-11-11-1ii−i−i11-1-1ii−i−i1-1
χ101-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11i−iiiii−i−i−i−i−ii-111-1-11−i−iii11-1-1−i−iii-11
χ111-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1i−iiiii−i−i−i−i−ii1-1-111-1−i−iii-1-111ii−i−i-11
χ121-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11i−iiiii−i−i−i−ii−i-11-11-11ii−i−i-1-111−i−iii1-1
χ131-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1−ii−i−i−i−iiiiii−i1-1-111-1ii−i−i-1-111−i−iii-11
χ141-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−ii−i−i−i−iiiii−ii-11-11-11−i−iii-1-111ii−i−i1-1
χ151-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1−ii−i−i−i−iiiii−ii1-11-11-1−i−iii11-1-1−i−iii1-1
χ161-11-11-1111-11-1-1-1-111-1-1-11111-11-1-1-11111-111-1-1-1-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11−ii−i−i−i−iiiiii−i-111-1-11ii−i−i11-1-1ii−i−i-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-100-1-1-1-1-1-10000000000
χ202222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211001111110000000000
χ212222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-2-1-100-1-111110000000000
χ222222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022110011-1-1-1-10000000000
χ23222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1000022000000-1-1-1-1000000
χ24222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-10000-2-20000001111000000
χ25222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2111111110000-2-20000001111000000
χ26222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111000022000000-1-1-1-1000000
χ272222-2-2222-2-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-222222-2-2002200000000000000000000-2-222-2-222-2-20000000000000000000000
χ282222-2-2222-2-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-22-2-2-2-2-2-200220000000000000000000022-2-222-2-2220000000000000000000000
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χ302222-2-222-222-222222222222-2-2-2-2222-2-22-222222-20000-2-200-2-20000000000000000-2-222000000000000-2-2002200000000000000
χ312222-2-22-1-222-222-12-1-12222-1-2-211-1-1-1-21-11-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i322-2-2000000000000-1-10011−i3i3−i3i30000000000
χ322222-2-22-1-222-222-12-1-12222-1-2-211-1-1-1-21-11-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-2-2220000000000001100-1-1i3−i3i3−i30000000000
χ332222-2-22-1-222-222-12-1-12222-1-2-211-1-1-1-21-11-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i322-2-2000000000000-1-10011i3−i3i3−i30000000000
χ342222-2-22-1-222-222-12-1-12222-1-2-211-1-1-1-21-11-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-2-2220000000000001100-1-1−i3i3−i3i30000000000
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χ362222-2-2-122-2-22-1-12-1221111-111-2-2-1-1-1-12-2211-211-122221100-1-1−33−3300−33−3300−33−330000-2-2-1-111-1-111000000000000−33−33000000
χ372222-2-2-122-2-22-1-12-1221111-111-2-2-1-1-1-12-2211-211-1-2-2-2-21100-1-13−33−3003−33−3003−33−300002211-1-111-1-1000000000000−33−33000000
χ382222-2-2-122-2-22-1-12-1221111-111-2-2-1-1-1-12-2211-211-1-2-2-2-21100-1-1−33−3300−33−3300−33−3300002211-1-111-1-10000000000003−33−3000000
χ392-22-22-222-22-22-2-2-222-222-2-222-22-2-2-22-2-2-22-2-2222200002-200-2200000000000000000000000000000000000000000000002-2-2200
χ402-22-22-222-22-22-2-2-222-222-2-222-22-2-2-22-2-2-22-2-2222200002-200-220000000000000000000000000000000000000000000000-222-200
χ412-22-22-22-12-22-2-2-212-11-2-222-12-2-1111-12-1-11-1-1111-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii2-22-200000000002i−2i-1100-11−i−iii0000000000
χ422-22-22-22-12-22-2-2-212-11-2-222-12-2-1111-12-1-11-1-1111-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii-22-220000000000−2i2i1-1001-1ii−i−i0000000000
χ432-22-22-22-12-22-2-2-212-11-2-222-12-2-1111-12-1-11-1-1111-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i2-22-20000000000−2i2i-1100-11ii−i−i0000000000
χ442-22-22-22-12-22-2-2-212-11-2-222-12-2-1111-12-1-11-1-1111-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-22-2200000000002i−2i1-1001-1−i−iii0000000000
χ452-22-22-2-122-22-211-2-12-211-1-1-1-112-211-1-122-2-1-1-21112i2i−2i−2i-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii00002i−2i−i−i−i−iiiii00002-2000000-1-111000000
χ462-22-22-2-122-22-211-2-12-211-1-1-1-112-211-1-122-2-1-1-21112i2i−2i−2i-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i−2i−i−i−i−iiiii0000-2200000011-1-1000000
χ472-22-22-2-122-22-211-2-12-211-1-1-1-112-211-1-122-2-1-1-2111−2i−2i2i2i-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i2iiiii−i−i−i−i0000-2200000011-1-1000000
χ482-22-22-2-122-22-211-2-12-211-1-1-1-112-211-1-122-2-1-1-2111−2i−2i2i2i-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i2iiiii−i−i−i−i00002-2000000-1-111000000
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χ502-22-2-222222-2-2-2-2-222-222-2-22-22-22-2-2222-2-2-2-2222-2−2i−2i2i2i-22002-2000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
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χ532-22-2-222-1-2-222-2-212-11-2-222-1-221-111-1-21-1-1-1-1111200001-1001-100003−333−3−3−33−3−3332-2-22000000000000-11001-13−3−330000000000
χ542-22-2-222-1-2-222-2-212-11-2-222-1-221-111-1-21-1-1-1-1111200001-1001-100003−333−3−3−33−3−333-222-20000000000001-100-11−333−30000000000
χ552-22-2-222-1-2-222-2-212-11-2-222-1-221-111-1-21-1-1-1-1111200001-1001-10000−33−3−3333−333−3−32-2-22000000000000-11001-1−333−30000000000
χ562-22-2-222-1-2-222-2-212-11-2-222-1-221-111-1-21-1-1-1-1111200001-1001-10000−33−3−3333−333−3−3-222-20000000000001-100-113−3−330000000000
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χ934-4-4400-2400002-2-42-4423−23−2323-200002-220000−2323023−23022−22−22220000000000000000000000000000−226−62−2−660000000000000000000000
χ944-4-4400-2400002-2-42-4423−23−2323-200002-220000−2323023−230−222222−2200000000000000000000000000002−2−66−226−60000000000000000000000
χ954-4-4400-2400002-2-42-44−232323−23-200002-22000023−230−2323022−22−22220000000000000000000000000000−22−662−26−60000000000000000000000
χ964-4-4400-2400002-2-42-44−232323−23-200002-22000023−230−23230−222222−2200000000000000000000000000002−26−6−22−660000000000000000000000
χ9788-8-8008-400008-8-4-8440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-884-84-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000

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