Finite Group Databasebeta

← Group #11786885

Character table — Group #11786885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ911-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−ii−i11-1-1
χ1011-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii−ii-1-111
χ1111-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i−ii-1-111
χ1211-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iiii−i11-1-1
χ1311-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iiii−i-1-111
χ1411-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i−ii11-1-1
χ1511-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−ii11-1-1
χ1611-1-11-1-11111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−ii−i-1-111
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222-1222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222-1222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222-1222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-12-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-12-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-12-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-12-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ27222-2-22-2-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-22-2-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-22-2-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-22-2-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−22−22−22−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-22-2-22-22200002-22-2-22-2-22-2-22-22200002-2-2-22-220000000000000000000000000000−i2i2i2−i22−2−22−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2i2i2i−2i000000000000000000
χ3222-22-2-22-22200002-22-2-22-2-22-2-22-22200002-2-2-22-220000000000000000000000000000−i2i2i2−i2−222−2−i2−i2i2i2i2i2−i2−i2−2−22222−2−22i−2i−2i2i000000000000000000
χ3322-22-2-22-22200002-22-2-22-2-22-2-22-22200002-2-2-22-220000000000000000000000000000i2−i2−i2i22−2−22i2i2−i2−i2−i2−i2i2i222−2−2−2−2222i−2i−2i2i000000000000000000
χ3422-22-2-22-22200002-22-2-22-2-22-2-22-22200002-2-2-22-220000000000000000000000000000i2−i2−i2i2−222−2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2i2i2i−2i000000000000000000
χ3522-2-22-2-2222-22-22222-2-2-2-2-2-222-22-22000022-2-2-22-2-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ3622-2-22-2-2222-22-22222-2-2-2-2-2-222-22-22000022-2-2-22-2-2-2-2222-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ3722-2-22-2-222-12-22-222-1-2-2-21112-11-1-2-12i2i−2i−2i-1-1111-112-1-1-2-2121−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-200-1-1110000000000
χ3822-2-22-2-222-12-22-222-1-2-2-21112-11-1-2-12i2i−2i−2i-1-1111-112-1-1-2-2121−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-220011-1-10000000000
χ3922-2-22-2-222-12-22-222-1-2-2-21112-11-1-2-1−2i−2i2i2i-1-1111-112-1-1-2-2121ii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-220011-1-10000000000
χ4022-2-22-2-222-12-22-222-1-2-2-21112-11-1-2-1−2i−2i2i2i-1-1111-112-1-1-2-2121ii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-200-1-1110000000000
χ4122-2-22-2-22-122-22-2-1-12111-2-2-2-12-221-12i2i−2i−2i-1-1111-11-12211-2-1-22i2i−2i−2i−i−iii-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-111110000002i−2i0000−i−iii000000
χ4222-2-22-2-22-122-22-2-1-12111-2-2-2-12-221-12i2i−2i−2i-1-1111-11-12211-2-1-22i2i−2i−2i−i−iii-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-1000000−2i2i0000ii−i−i000000
χ4322-2-22-2-22-122-22-2-1-12111-2-2-2-12-221-1−2i−2i2i2i-1-1111-11-12211-2-1-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-11111000000−2i2i0000ii−i−i000000
χ4422-2-22-2-22-122-22-2-1-12111-2-2-2-12-221-1−2i−2i2i2i-1-1111-11-12211-2-1-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-10000002i−2i0000−i−iii000000
χ452-222-2-2-222222-2-2-2-2-22-222-2222-2-2-220000-2-22-222-222-22-22-2-2000000002-22-2000000000000000000000000000000000000000000000000002-22-2
χ462-222-2-2-222222-2-2-2-2-22-222-2222-2-2-220000-2-22-222-222-22-22-2-2000000002-22-200000000000000000000000000000000000000000000000000-22-22
χ472-222-2-2-2222-2-222-2-2-22-222-2222-2-2-222i−2i2i−2i-2-22-222-2-2-22-22-2222i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ482-222-2-2-2222-2-222-2-2-22-222-2222-2-2-22−2i2i−2i2i-2-22-222-2-2-22-22-222−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ492-222-2-2-222-1-2-222-2-212-22-11-12-111-2-12i−2i2i−2i11-11-1-11-21-1-2212-1−ii−ii2i−2i2i−2i1-11-1−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i300000000000000003−33−30000000000
χ502-222-2-2-222-1-2-222-2-212-22-11-12-111-2-12i−2i2i−2i11-11-1-11-21-1-2212-1−ii−ii2i−2i2i−2i1-11-1−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i30000000000000000−33−330000000000
χ512-222-2-2-222-1-2-222-2-212-22-11-12-111-2-1−2i2i−2i2i11-11-1-11-21-1-2212-1i−ii−i−2i2i−2i2i1-11-1ii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i30000000000000000−33−330000000000
χ522-222-2-2-222-1-2-222-2-212-22-11-12-111-2-1−2i2i−2i2i11-11-1-11-21-1-2212-1i−ii−i−2i2i−2i2i1-11-1ii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i300000000000000003−33−30000000000
χ532-222-2-2-22-12-2-22211-2-11-12-22-12-2-21-12i−2i2i−2i11-11-1-111-221-1-2-122i−2i2i−2i−ii−ii1-11-1−i−iii−i−iii0000000000000000−i3i3−i3i3−i3i3−i3i30000000000003−33−3000000
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χ552-222-2-2-22-12-2-22211-2-11-12-22-12-2-21-1−2i2i−2i2i11-11-1-111-221-1-2-12−2i2i−2i2ii−ii−i1-11-1ii−i−iii−i−i0000000000000000−i3i3−i3i3−i3i3−i3i3000000000000−33−33000000
χ562-222-2-2-22-12-2-22211-2-11-12-22-12-2-21-1−2i2i−2i2i11-11-1-111-221-1-2-12−2i2i−2i2ii−ii−i1-11-1ii−i−iii−i−i0000000000000000i3−i3i3−i3i3−i3i3−i30000000000003−33−3000000
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χ592-2-2-2-222222-222-2-2-2-2-22-2-22-2222-2222-2-22-2-2-22-222-2-222-222-22-2-222-2-22-222-222-2-2-2-2220000000000000000000000000000000000000000000000
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χ612-2-2-2-22222-1-222-2-2-21-22-21-112-1-112-12-2-22111-11-1-1-21-12-2-121-111-12-2-221-1-11-1-11111-1-1000000003−33−3−33−330000000000000000−333−30000000000
χ622-2-2-2-22222-1-222-2-2-21-22-21-112-1-112-12-2-22111-11-1-1-21-12-2-121-111-12-2-221-1-11-1-11111-1-100000000−33−333−33−300000000000000003−3−330000000000
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χ8144-44-4-44-4-240000-22422-2-4-442-44-4-2-20000-2222-22-20000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000000000
χ8244-44-4-44-4-240000-22422-2-4-442-44-4-2-20000-2222-22-200000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000000000
χ8344-4-44-4-444-2-44-4444-2-4-4-42224-22-2-4-20000-2-2222-22-42244-2-4-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ8444-4-44-4-44-24-44-44-2-24222-4-4-4-24-442-20000-2-2222-222-4-4-2-24240000000022-2-2000000000000000000000000000000000000000000000000000000
χ8544-4-44-4-44-2-24-44-4-2-2-2222222-2-22-2214i4i−4i−4i11-1-1-11-1-2-2-2222-22−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ8644-4-44-4-44-2-24-44-4-2-2-2222222-2-22-221−4i−4i4i4i11-1-1-11-1-2-2-2222-222i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ8744-4-44-4-44-2-2-44-44-2-2-2222222-2-22-221000011-1-1-11-1222-2-2-22-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8844-4-44-4-44-2-2-44-44-2-2-2222222-2-22-221000011-1-1-11-1222-2-2-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ894-444-4-4-444-244-4-4-4-424-44-22-24-222-4-2000022-22-2-224-224-4-2-4200000000-22-22000000000000000000000000000000000000000000000000000000
χ904-444-4-4-44-2444-4-422-4-22-24-44-24-4-42-2000022-22-2-22-24-4-2242-400000000-22-22000000000000000000000000000000000000000000000000000000
χ914-444-4-4-44-2-244-4-4222-22-2-22-2-2-222210000-1-11-111-1-2-22-22-222000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ924-444-4-4-44-2-244-4-4222-22-2-22-2-2-222210000-1-11-111-1-2-22-22-222000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-2-4-444222-22-2-22-2-2-222214i−4i4i−4i-1-11-111-122-22-22-2-2−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ944-444-4-4-44-2-2-4-444222-22-2-22-2-2-22221−4i4i−4i4i-1-11-111-122-22-22-2-22i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ954-44-44-44-4440000-44-44-4-44-4-4-4-444440000-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-44-20000-4424-4-4-222-42-2-24-200002-2-2222-2000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ974-44-44-44-44-20000-4424-4-4-222-42-2-24-200002-2-2222-2000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ984-44-44-44-4-2400002-2-4-2224-4-42-444-2-200002-2-2222-200000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ994-44-44-44-4-2400002-2-4-2224-4-42-444-2-200002-2-2222-200000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ1004-4-4444-4-4440000-44-4-444-444-4-4-44-440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-44-20000-442-4442-2-2-422-2-4-200002-22-2-2220000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ1024-4-4444-4-44-20000-442-4442-2-2-422-2-4-200002-22-2-222000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ1034-4-4444-4-4-2400002-2-42-2-2-4442-4-442-200002-22-2-22200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ1044-4-4444-4-4-2400002-2-42-2-2-4442-4-442-200002-22-2-22200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ1054-4-4-4-44444-24-4-44-4-42-44-42-224-2-224-20000222-22-2-24-22-442-4-200000000-222-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-244-4-4422-42-22-44-4-244-4-2-20000222-22-2-2-24-42-2-42400000000-222-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-24-4-442222-222-22-2-2-22-210000-1-1-11-111-2-222-222-2000000001-1-113-3-33-333-30000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-24-4-442222-222-22-2-2-22-210000-1-1-11-111-2-222-222-2000000001-1-11-333-33-3-330000000000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-2-444-42222-222-22-2-2-22-214-4-44-1-1-11-11122-2-22-2-22-222-2-222-2-111-111-1-1-1-1110000000000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-2-444-42222-222-22-2-2-22-21-444-4-1-1-11-11122-2-22-2-222-2-222-2-22-111-1-1-11111-1-10000000000000000000000000000000000000000000000
χ111888-8-88-8-8-4-40000-44-4-4-44-4-4444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-8-4-40000-44-444-444-444-44-4200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-8-4-400004-44-444-44444-4-4-420000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-8-4-400004-444-4-44-4-4444-4420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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