Finite Group Databasebeta

← Group #11785183

Character table — Group #11785183

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666622223666666612121212121212126666666666666666121212128888888824242424242424242424242424242424444444441212121212121212444444
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
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91-1-1-111-111111-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-111-1-1
χ101-1-1-111-111111-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-1-111
χ111-1-1-111-111111-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-1-111
χ121-1-1-111-111111-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-111-1-1
χ131-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-1-111
χ141-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1111-1-1
χ151-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1111-1-1
χ161-1-1-111-111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-1-111
χ172222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1-1222-1-1-12-12-12222-1-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-12222-1-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-1-2-211-2-21111111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ22222222222-1222222-1-1222-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-1-2-211-2-21111111111-1-1-1-10000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2322222222-122222-1-122-1-1-1222-12-122222-1-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-122222-1-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-211111111-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2622222222-122222-1-122-1-1-1222-12-12-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-211111111-1-1-1-1-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ27222-22-2-2-2222-22-2-2-2-2-222-222-222-2-22-22-22-2-222-2-222-22-222-2-22-22-22-22-222-2-222-2-22-22-20000000000000000000000000000000000000000000000
χ28222-22-2-2-2222-22-2-2-2-2-222-222-222-2-2-22-222-2-222-2-222-22-222-2-2-22-22-22-22-2-222-2-2222-22-20000000000000000000000000000000000000000000000
χ29222-22-2-2-222-22-22-2-2-2-222-222-222-2-200002-2-222-2-22-22-22-2-2220000000000000000-22-220000000000000000000000000000000000000000002i−2i2i−2i
χ30222-22-2-2-222-22-22-2-2-2-222-222-222-2-200002-2-222-2-22-22-22-2-2220000000000000000-22-22000000000000000000000000000000000000000000−2i2i−2i2i
χ31222-22-2-2-22-12-22-2-2-21122-2-1-112-1-212-22-2-111-1-111-12-2-112-1-212-2-112-2-11-1-111-1-111-11-11000000000000000033−3−333−3−30000000000003−33−3000000
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χ33222-22-2-2-22-12-22-2-2-21122-2-1-112-1-21-22-22-111-1-111-12-2-112-1-21-221-1-221-111-1-111-1-1-11-11000000000000000033−3−333−3−3000000000000−33−33000000
χ34222-22-2-2-22-12-22-2-2-21122-2-1-112-1-21-22-22-111-1-111-12-2-112-1-21-221-1-221-111-1-111-1-1-11-110000000000000000−3−333−3−3330000000000003−33−3000000
χ35222-22-2-2-2-122-22-211-2-2-1-1122-2-121-22-22-2-111-1-111-1-112-2-121-2-112-2-112-2-1-111-1-111-11-110000000033−3−333−3−300000000000000003−33−30000000000
χ36222-22-2-2-2-122-22-211-2-2-1-1122-2-121-22-22-2-111-1-111-1-112-2-121-2-112-2-112-2-1-111-1-111-11-1100000000−3−333−3−3330000000000000000−33−330000000000
χ37222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-22-22-111-1-111-1-112-2-121-21-1-221-1-2211-1-111-1-1-11-110000000033−3−333−3−30000000000000000−33−330000000000
χ38222-22-2-2-2-122-22-211-2-2-1-1122-2-121-2-22-22-111-1-111-1-112-2-121-21-1-221-1-2211-1-111-1-1-11-1100000000−3−333−3−33300000000000000003−33−30000000000
χ3922-22-2-2-222200002-22-22-222-22-2-2-2-2000022-22-22-2-20000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2000000000000000000
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χ4122-22-2-2-222200002-22-22-222-22-2-2-2-2000022-22-22-2-20000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-22000000000000000000
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χ432-22-2-2-2222200002-22-2-22-2-22-2-2-222000022-2-22-22-200000000000000000000000000002−2−222−2−222−22−2−22−222−22−2−22−222-2-22000000000000000000
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χ472-2-222-22-2222-2-22-2-2-2-2-2-22-2-2222222-2-222-2-2-2-22222-22-2-2-2222-22-2-22-2222-2-2-2-2222-2-220000000000000000000000000000000000000000000000
χ482-2-222-22-2222-2-22-2-2-2-2-2-22-2-222222-222-22-2-2-2-22222-22-2-2-222-22-222-22-2-2-22222-2-22-2-220000000000000000000000000000000000000000000000
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χ512-2-222-22-22-12-2-22-2-211-2-2211-12-12-12-2-22-11111-1-1-12-2-11-212-12-2-11-221-1-1-11111-1-1-111-10000000000000000−i3−i3i3i3i3i3−i3−i3000000000000−i3i3i3−i3000000
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χ532-2-222-22-22-12-2-22-2-211-2-2211-12-12-1-222-2-11111-1-1-12-2-11-212-1-221-12-2-1111-1-1-1-111-111-10000000000000000−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i3000000
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χ552-2-222-22-2-122-2-2211-2-211-1-2-22-12-122-2-22-11111-1-1-1-112-21-2-12-112-21-1-22-1-11111-1-1-111-100000000−i3−i3i3i3i3i3−i3−i30000000000000000−i3i3i3−i30000000000
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χ582-2-222-22-2-122-2-2211-2-211-1-2-22-12-12-222-2-11111-1-1-1-112-21-2-121-1-22-112-211-1-1-1-111-111-100000000i3i3−i3−i3−i3−i3i3i30000000000000000−i3i3i3−i30000000000
χ592-2-2-222-2222-2-2222222-2-2-2-2-2-222-2-20000222-2-2-2-22-2-2-2-222220000000000000000-2-22200000000000000000000000022-2-2000000000000-220000
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χ78444-44-4-4-4-2-24-44-42222-2-22-2-22-2-222-44-441-1-111-1-11-22-22-2-2222-22-22-22-2-1-111-1-1111-11-10000000000000000000000000000000000000000000000
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χ8344-44-4-4-44-240000-224-4-22-24-442-42-40000-2-22-22-2220000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ8444-44-4-4-44-240000-224-4-22-24-442-42-40000-2-22-22-22200000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ8544-4-4-444-4440000-44-444-4-44-4-4-4-44400004-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-44-20000-442-24-4-4-222-424-20000-22-2-222-2200000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ8744-4-4-444-44-20000-442-24-4-4-222-424-20000-22-2-222-2200000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ8844-4-4-444-4-2400002-2-44-2224-4-42-4-240000-22-2-222-22000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ8944-4-4-444-4-2400002-2-44-2224-4-42-4-240000-22-2-222-22000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ904-444-44-4-4440000-44-44-444-444-4-4-4-400004-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-44-4-44-20000-442-2-4442-2-2-42-420000-22-22-2-222000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ924-444-44-4-44-20000-442-2-4442-2-2-42-420000-22-22-2-22200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ934-444-44-4-4-2400002-2-442-2-2-4442-42-40000-22-22-2-2220000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ944-444-44-4-4-2400002-2-442-2-2-4442-42-40000-22-22-2-222000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ954-44-4-4-4444-200004-4-22-44-42-22-424-20000-2-222-22-220000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000000000
χ964-44-4-4-4444-200004-4-22-44-42-22-424-20000-2-222-22-2200000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000000000
χ974-44-4-4-444-240000-224-42-22-44-42-4-240000-2-222-22-22000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000000000
χ984-44-4-4-444-240000-224-42-22-44-42-4-240000-2-222-22-220000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000000000
χ994-4-444-44-44-2-444-4-4-422-4-4422-24-24-20000-22222-2-2-2-442-24-2-4200000000000000002-2-220000000000000000000000000000000000000000000000
χ1004-4-444-44-4-24-444-422-4-422-2-4-44-24-240000-22222-2-2-22-2-44-242-400000000000000002-2-220000000000000000000000000000000000000000000000
χ1014-4-444-44-4-2-24-4-44222222-222-2-2-2-2-24-4-441-1-1-1-1111-22-2222-2-2-22-222-22-211-1-1-1-1111-1-110000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-24-4-44222222-222-2-2-2-2-2-444-41-1-1-1-1111-22-2222-2-22-22-2-22-22-1-11111-1-11-1-110000000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-2-444-4222222-222-2-2-2-2-200001-1-1-1-11112-22-2-2-222000000003-3-33-333-3-111-10000000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2-444-4222222-222-2-2-2-2-200001-1-1-1-11112-22-2-2-22200000000-333-33-3-33-111-10000000000000000000000000000000000000000000000
χ1054-4-4-444-444-2-4-44444-2-2-4-4-42224-2-420000-2-2-22222-2-4-4224-24-2000000000000000022-2-20000000000000000000000000000000000000000000000
χ1064-4-4-444-44-24-4-444-2-244222-4-4-4-242-40000-2-2-22222-222-4-4-24-24000000000000000022-2-20000000000000000000000000000000000000000000000
χ1074-4-4-444-44-2-244-4-4-2-2-2-2222222-2-22244-4-4111-1-1-1-11-2-2-2-22222-2-2-2-222221111-1-1-1-111-1-10000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-244-4-4-2-2-2-2222222-2-222-4-444111-1-1-1-11-2-2-2-222222222-2-2-2-2-1-1-1-1111111-1-10000000000000000000000000000000000000000000000
χ1094-4-4-444-44-2-2-4-444-2-2-2-2222222-2-2220000111-1-1-1-112222-2-2-2-2000000003-33-3-33-33-1-1110000000000000000000000000000000000000000000000
χ1104-4-4-444-44-2-2-4-444-2-2-2-2222222-2-2220000111-1-1-1-112222-2-2-2-200000000-33-333-33-3-1-1110000000000000000000000000000000000000000000000
χ11188-88-8-8-88-4-40000-44-44-44-4-44-44444000022-22-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-400004-44-4-444-44444-4-400002-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-44-44-4-44-4-4444400002-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-8-888-4-40000-44-444-444-4444-4-4000022-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000

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