Finite Group Databasebeta

← Group #11785218

Character table — Group #11785218

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
χ91-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-111-1-1
χ101-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-1-111
χ111-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-1-111
χ121-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-111-1-1
χ131-1-1-111-111111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-1-111
χ141-1-1-111-111111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1111-1-1
χ151-1-1-111-111111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1111-1-1
χ161-1-1-111-111111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-1-111
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
χ19222222222-1222222-1-1222-1-1-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-12-1-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
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χ2322222222-122222-1-122-1-1-1222-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ27222-22-2-2-2222-22-2-2-2-2-222-222-222-2-222-22-2-2-222-2-222-22-222-2-22-22-22-22-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ28222-22-2-2-2222-22-2-2-2-2-222-222-222-2-22-22-22-2-222-2-222-22-222-2-2-22-22-22-222-22-2-2-222-2-2220000000000000000000000000000000000000000000000
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χ31222-22-2-2-22-12-22-2-2-21122-2-1-112-1-21-12-22-211-1-111-12-2-112-1-212-2-112-2-11-11-11-1-111-1-111000000000000000033−3−333−3−30000000000003−33−3000000
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χ33222-22-2-2-22-12-22-2-2-21122-2-1-112-1-21-1-22-2211-1-111-12-2-112-1-21-221-1-221-1-11-1111-1-111-1-1000000000000000033−3−333−3−3000000000000−33−33000000
χ34222-22-2-2-22-12-22-2-2-21122-2-1-112-1-21-1-22-2211-1-111-12-2-112-1-21-221-1-221-1-11-1111-1-111-1-10000000000000000−3−333−3−3330000000000003−33−3000000
χ35222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-12-22-211-1-111-1-112-2-121-2-112-2-112-2-11-11-1-111-1-1110000000033−3−333−3−300000000000000003−33−30000000000
χ36222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-12-22-211-1-111-1-112-2-121-2-112-2-112-2-11-11-1-111-1-11100000000−3−333−3−3330000000000000000−33−330000000000
χ37222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-1-22-2211-1-111-1-112-2-121-21-1-221-1-22-11-1111-1-111-1-10000000033−3−333−3−30000000000000000−33−330000000000
χ38222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-1-22-2211-1-111-1-112-2-121-21-1-221-1-22-11-1111-1-111-1-100000000−3−333−3−33300000000000000003−33−30000000000
χ3922-22-22-2-22200002-22-22-222-22-2-2-2-2200002-22-22-2-200000000000000000000000000002−22−22−22−22−22−22−22−22−22−22−22−22-22-2000000000000000000
χ4022-22-22-2-22200002-22-22-222-22-2-2-2-2200002-22-22-2-200000000000000000000000000002−22−2−22−222−22−22−22−2−22−22−22−22-22-22000000000000000000
χ4122-22-22-2-22200002-22-22-222-22-2-2-2-2200002-22-22-2-20000000000000000000000000000−22−222−22−2−22−22−22−222−22−22−22−2-22-22000000000000000000
χ4222-22-22-2-22200002-22-22-222-22-2-2-2-2200002-22-22-2-20000000000000000000000000000−22−22−22−22−22−22−22−22−22−22−22−222-22-2000000000000000000
χ432-22-2-222-22200002-22-2-22-2-22-2-2-222200002-2-22-22-20000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-22000000000000000000
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χ472-2-222-22-2222-2-22-2-2-2-2-2-22-2-22222222-2-22-2-2-2-22222-22-2-2-2222-22-2-22-222-2-2222-2-2-2-2220000000000000000000000000000000000000000000000
χ482-2-222-22-2222-2-22-2-2-2-2-2-22-2-2222222-222-2-2-2-2-22222-22-2-2-222-22-222-22-22-2-22-2-22222-2-20000000000000000000000000000000000000000000000
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χ512-2-222-22-22-12-2-22-2-211-2-2211-12-12-1-12-2-221111-1-1-12-2-11-212-12-2-11-221-1-111-1-1-11111-1-10000000000000000−i3−i3i3i3i3i3−i3−i3000000000000−i3i3i3−i3000000
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χ8644-4-4-4-4444-20000-442-24-4-4-222-424-2-200002-2-222-22000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ8744-4-4-4-4444-20000-442-24-4-4-222-424-2-200002-2-222-2200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ8844-4-4-4-444-2400002-2-44-2224-4-42-4-24-200002-2-222-220000000000000000000000000000000000006−6−666−6−66000000000000000000000000000000
χ8944-4-4-4-444-2400002-2-44-2224-4-42-4-24-200002-2-222-22000000000000000000000000000000000000−666−6−666−6000000000000000000000000000000
χ904-444-4-4-44440000-44-44-444-444-4-4-4-440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-4-4-444-20000-442-2-4442-2-2-42-42-200002-22-2-22200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ924-444-4-4-444-20000-442-2-4442-2-2-42-42-200002-22-2-22200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ934-444-4-4-44-2400002-2-442-2-2-4442-42-4-200002-22-2-222000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ944-444-4-4-44-2400002-2-442-2-2-4442-42-4-200002-22-2-222000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ954-44-4-444-44-200004-4-22-44-42-22-424-2-20000-222-22-2200000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i20000000000000000000000
χ964-44-4-444-44-200004-4-22-44-42-22-424-2-20000-222-22-22000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ974-44-4-444-4-240000-224-42-22-44-42-4-24-20000-222-22-220000000000000000000000000000−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ984-44-4-444-4-240000-224-42-22-44-42-4-24-20000-222-22-2200000000000000000000000000002i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ994-4-444-44-44-2-444-4-4-422-4-4422-24-24-2-200002222-2-2-2-442-24-2-42000000002-2-22000000000000000000000000000000000000000000000000000000
χ1004-4-444-44-4-24-444-422-4-422-2-4-44-24-24-200002222-2-2-22-2-44-242-4000000002-2-22000000000000000000000000000000000000000000000000000000
χ1014-4-444-44-4-2-24-4-44222222-222-2-2-2-2-214-4-44-1-1-1-1111-22-2222-2-2-22-222-22-21-1-1111-1-1-1-1110000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-24-4-44222222-222-2-2-2-2-21-444-4-1-1-1-1111-22-2222-2-22-22-2-22-221-1-11-1-11111-1-10000000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-2-444-4222222-222-2-2-2-2-210000-1-1-1-11112-22-2-2-22200000000-111-13-3-33-333-30000000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2-444-4222222-222-2-2-2-2-210000-1-1-1-11112-22-2-2-22200000000-111-1-333-33-3-330000000000000000000000000000000000000000000000
χ1054-4-4-444-444-2-4-44444-2-2-4-4-42224-2-42-20000-2-22222-2-4-4224-24-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-44-24-4-444-2-244222-4-4-4-242-4-20000-2-22222-222-4-4-24-240000000022-2-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-2-244-4-4-2-2-2-2222222-2-222144-4-411-1-1-1-11-2-2-2-22222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-244-4-4-2-2-2-2222222-2-2221-4-44411-1-1-1-11-2-2-2-222222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ1094-4-4-444-44-2-2-4-444-2-2-2-2222222-2-2221000011-1-1-1-112222-2-2-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000000000
χ1104-4-4-444-44-2-2-4-444-2-2-2-2222222-2-2221000011-1-1-1-112222-2-2-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000000000000
χ11188-88-88-8-8-4-40000-44-44-44-4-44-44444200002-22-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-400004-44-4-444-44444-4-420000-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-44-44-4-44-4-4444420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8-4-40000-44-444-444-4444-4-4200002-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000

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