Finite Group Databasebeta

← Group #11789679

Character table — Group #11789679

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212128888668812122424242424242424242424242424242488888824242424242424244488121212122424242424242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ911-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−i11-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-111-1-1i−ii−i1-1
χ1011-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1ii−i−i1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−i-1-111iiii−i−i−i−i−ii1-1−i−iii11-1-1-1-111−ii−ii-11
χ1111-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiii−i11-1-1iiii−i−i−i−i−ii-11−i−iii-1-11111-1-1i−ii−i-11
χ1211-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1ii−i−i1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiii−i-1-111iiii−i−i−i−ii−i-11ii−i−i-1-111-1-111−ii−ii1-1
χ1311-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii11-1-1−i−i−i−iiiiii−i-11ii−i−i-1-11111-1-1−ii−ii-11
χ1411-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1−i−iii1-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii-1-111−i−i−i−iiiii−ii-11−i−iii-1-111-1-111i−ii−i1-1
χ1511-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−ii11-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-111-1-1−ii−ii1-1
χ1611-1-11-111-111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-1-11-1−i−iii1-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−ii-1-111−i−i−i−iiiiii−i1-1ii−i−i11-1-1-1-111i−ii−i-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-2000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000
χ192222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200-1-1-1-10000-1-1-1-1000000
χ202222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-200111100001111000000
χ212222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111100222200000000-2-20011110000-1-1-1-1000000
χ222222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111100-2-2-2-2000000002200-1-1-1-100001111000000
χ232222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-211111111-20000-1-100110000333−3−3−3333−3−3−3002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii000000
χ242222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-211111111-20000-1-100110000333−3−3−3333−3−3−300−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i000000
χ252222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-211111111-20000-1-100110000−3−3−3333−3−3−3333002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii000000
χ262222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-211111111-20000-1-100110000−3−3−3333−3−3−333300−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i000000
χ27222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-12-12222-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-1220000-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ28222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-12-12222-1-1-2-2-1-11111-211-211-211-211220000-1-1-1-1-1-1-1-100-2-2000011110000000000
χ29222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-12-1-2-2-2-2-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-1-2-200001111111100-2-2000011110000000000
χ30222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-12-1-2-2-2-2-1-1-2-2-1-11111-211-211-211-211-2-200001111111100220000-1-1-1-10000000000
χ312222-2-22222-2-222222222222-2-2-2-2222-22-222222-2-20000-2-200-2-2000000000000000000000000000000000000000000000022-2-200
χ322222-2-22222-2-222222222222-2-2-2-2222-22-222222-2-20000-2-200-2-20000000000000000000000000000000000000000000000-2-22200
χ332222-2-222-2-222222222-2-2-2-22-2-2-2-22222-22-2-2-2-2-2222222-2-200220000000000000000-2-2000022-2-222-2-20000000000000000000000
χ342222-2-222-2-222222222-2-2-2-22-2-2-2-22222-22-2-2-2-2-222-2-2-2-2-2-200220000000000000000220000-2-222-2-2220000000000000000000000
χ352222-2-2-12-2-222-1-12-1221111-11-21-2-1-1-1-1-2211-2112-122221100-1-13−33−303−303−303−303−3-2-20000-1-111-1-111000000003−33−30000000000
χ362222-2-2-12-2-222-1-12-1221111-11-21-2-1-1-1-1-2211-2112-122221100-1-1−33−330−330−330−330−33-2-20000-1-111-1-11100000000−33−330000000000
χ372222-2-2-12-2-222-1-12-1221111-11-21-2-1-1-1-1-2211-2112-1-2-2-2-21100-1-13−33−303−303−303−303−322000011-1-111-1-100000000−33−330000000000
χ382222-2-2-12-2-222-1-12-1221111-11-21-2-1-1-1-1-2211-2112-1-2-2-2-21100-1-1−33−330−330−330−330−3322000011-1-111-1-1000000003−33−30000000000
χ3922-2-22-2222-2-22-2-2-222-222-2-2222-2-2-2-22-2-22-2-2222-2200002-200-220000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i000000
χ4022-2-22-2222-2-22-2-2-222-222-2-2222-2-2-2-22-2-22-2-2222-2200002-200-22000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i000000
χ4122-2-22-22-12-2-22-2-212-1122-2-2-12-1-2111-1-21-111-1-1-1120000-11001-10000−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3002i−2i−2i2i000000000000−333−30000−iii−i000000
χ4222-2-22-22-12-2-22-2-212-1122-2-2-12-1-2111-1-21-111-1-1-1120000-11001-10000−i3−i3−i3i3i3i3i3i3i3−i3−i3−i300−2i2i2i−2i0000000000003−3−330000i−i−ii000000
χ4322-2-22-22-12-2-22-2-212-1122-2-2-12-1-2111-1-21-111-1-1-1120000-11001-10000i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3002i−2i−2i2i0000000000003−3−330000−iii−i000000
χ4422-2-22-22-12-2-22-2-212-1122-2-2-12-1-2111-1-21-111-1-1-1120000-11001-10000i3i3i3−i3−i3−i3−i3−i3−i3i3i3i300−2i2i2i−2i000000000000−333−30000i−i−ii000000
χ4522-2-22-22-1-222-2-2-212-11-2-222-12-1-2111-12-11-1-1111-1-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii0022-2-2000000002i−2i00−i−iii0000-1-111000000
χ4622-2-22-22-1-222-2-2-212-11-2-222-12-1-2111-12-11-1-1111-1-20000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00-2-22200000000−2i2i00ii−i−i000011-1-1000000
χ4722-2-22-22-1-222-2-2-212-11-2-222-12-1-2111-12-11-1-1111-1-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i0022-2-200000000−2i2i00ii−i−i0000-1-111000000
χ4822-2-22-22-1-222-2-2-212-11-2-222-12-1-2111-12-11-1-1111-1-20000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00-2-222000000002i−2i00−i−iii000011-1-1000000
χ4922-2-22-2-12-222-211-2-12-211-1-1-1-121-211-1-12-2-1-1-211212i2i−2i−2i-112i−2i-11−i−iii2i−i−i2i−i−i−2iii−2iii2i−2i0000−i−i−i−iiiii002-20000-1-1110000000000
χ5022-2-22-2-12-222-211-2-12-211-1-1-1-121-211-1-12-2-1-1-211212i2i−2i−2i-11−2i2i-11ii−i−i−2iii−2iii2i−i−i2i−i−i2i−2i0000−i−i−i−iiiii00-22000011-1-10000000000
χ5122-2-22-2-12-222-211-2-12-211-1-1-1-121-211-1-12-2-1-1-21121−2i−2i2i2i-112i−2i-11−i−iii2i−i−i2i−i−i−2iii−2iii−2i2i0000iiii−i−i−i−i00-22000011-1-10000000000
χ5222-2-22-2-12-222-211-2-12-211-1-1-1-121-211-1-12-2-1-1-21121−2i−2i2i2i-11−2i2i-11ii−i−i−2iii−2iii2i−i−i2i−i−i−2i2i0000iiii−i−i−i−i002-20000-1-1110000000000
χ5322-2-2-22222-22-2-2-2-222-222-2-22-2-222-2-222-2-2-2-22222-22i2i−2i−2i-22002-20000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5422-2-2-22222-22-2-2-2-222-222-2-22-2-222-2-222-2-2-2-22222-2−2i−2i2i2i-22002-200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5522-2-2-2222-22-22-2-2-222-2-2-2222-2-222-2-22-22222-2-2-2-220000-2200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2-2222-22-22-2-2-222-2-2-2222-2-222-2-22-22222-2-2-2-220000-2200-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-2-22-122-22-211-2-12-2-1-111-11-2-1211-1-1-2-2112-1-1212i2i−2i−2i1-100-11−i3i3i3−i30−i3i30−i3i30i3−i30i3−i3−2i2i0000−i−iiiii−i−i00000000−333−30000000000
χ5822-2-2-22-122-22-211-2-12-2-1-111-11-2-1211-1-1-2-2112-1-1212i2i−2i−2i1-100-11i3−i3−i3i30i3−i30i3−i30−i3i30−i3i3−2i2i0000−i−iiiii−i−i000000003−3−330000000000
χ5922-2-2-22-122-22-211-2-12-2-1-111-11-2-1211-1-1-2-2112-1-121−2i−2i2i2i1-100-11−i3i3i3−i30−i3i30−i3i30i3−i30i3−i32i−2i0000ii−i−i−i−iii000000003−3−330000000000
χ6022-2-2-22-122-22-211-2-12-2-1-111-11-2-1211-1-1-2-2112-1-121−2i−2i2i2i1-100-11i3−i3−i3i30i3−i30i3−i30−i3i30−i3i32i−2i0000ii−i−i−i−iii00000000−333−30000000000
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χ8344-4-4-44-2-2-44-44222-2-2222-2-2122-2-2-1-112-2-2112-1-12-20000-1100-11000003i−3i0−3i3i0−3i3i03i−3i000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44222-2-2222-2-2122-2-2-1-112-2-2112-1-12-20000-1100-1100000−3i3i03i−3i03i−3i0−3i3i000000000000000000000000000000000000
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χ904-44-400-240000-2242-4-4−2323−2323-20000-222000−23230−2323002i2−2i22i2−2i20000000000000000000000000000−i2i2i6−i6−i2i2i6−i60000000000000000000000
χ914-4-4400440000-44-4-4-44000040000-44-4000000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-4400440000-44-4-4-44000040000-44-40000000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-4400-2400002-2-42-4423−23−2323-200002-22000−2323023−230022−22−22220000000000000000000000000000−226−62−2−660000000000000000000000
χ944-4-4400-2400002-2-42-4423−23−2323-200002-22000−2323023−2300−222222−2200000000000000000000000000002−2−66−226−60000000000000000000000
χ954-4-4400-2400002-2-42-44−232323−23-200002-2200023−230−23230022−22−22220000000000000000000000000000−22−662−26−60000000000000000000000
χ964-4-4400-2400002-2-42-44−232323−23-200002-2200023−230−232300−222222−2200000000000000000000000000002−26−6−22−660000000000000000000000
χ978-88-8008-400008-8-4-8440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-44-444443−4343−43200002-2-2000−23230−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-44-4444−4343−4343200002-2-200023−23023−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-884-84-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-200023−230−23230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-2000−2323023−230000000000000000000000000000000000000000000000000000000000000000

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