Finite Group Databasebeta

← Group #11787498

Character table — Group #11787498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444444448888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1i−ii−i
χ10111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−ii−ii
χ11111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i-1-111−ii−ii
χ12111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii-1-111i−ii−i
χ13111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-1111111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1i−i−ii
χ14111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-1111111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1−iii−i
χ15111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-1-111ii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111−iii−i
χ16111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-1-111−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii-1-111i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
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χ21222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111000022220000-2-2-2-200000000111111110000-1-1-1-100000000
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χ2422222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000000011110000
χ2522222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-11111111122220000-2-2-2-20000111111110000000000000000-1-1-1-10000
χ2622222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000000011110000
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χ29222-22-2-2-22-12-22-222-1-1-2-2-2-2111-112-1-1-11111-1-1-112-2-2122-2-1-11122-2-2-1-111-1-1-1-1111100002i2i−2i−2i00002i2i−2i−2i00000000−i−i−i−iiiii0000−i−iii00000000
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χ32222-22-2-2-22-12-22-222-1-1-2-2-2-2111-112-1-1-11111-1-1-112-2-212-2211-1-1-2-222-1-1111111-1-1-1-10000−2i−2i2i2i00002i2i−2i−2i00000000−i−i−i−iiiii0000ii−i−i00000000
χ33222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-222-2-2-1-111-1-111-1-1-1-1111122-2-2000022-2-20000-1-1-1-111110000000000000000-1-1110000
χ34222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-222-2-2-1-111-1-111-1-1-1-11111-2-2220000-2-22200001111-1-1-1-1000000000000000011-1-10000
χ35222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-22-2-22211-1-1-1-1111111-1-1-1-122-2-20000-2-22200001111-1-1-1-10000000000000000-1-1110000
χ36222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-22-2-22211-1-1-1-1111111-1-1-1-1-2-222000022-2-20000-1-1-1-11111000000000000000011-1-10000
χ3722-22-22-2-22200002-22-222-2-222-2-2-2-222-222-2-2-2000000000000000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000
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χ79444-44-4-4-4-2-2-44-44-2-2-2-22222222-22-2111-1-1-1-1122-22-2-2-220000000000-1-1113-3-33-333-3000000000000000000000000000000000000000000000000
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χ8344-44-44-4-4-240000-224-4-2-22244-4-4-42-2-22-2-22220000000000000000000000000000000000000022−2222−220000−2−222−2−222000000000000000000000000
χ8444-44-44-4-4-240000-224-4-2-22244-4-4-42-2-22-2-222200000000000000000000000000000000000000−2222−2222000022−2−222−2−2000000000000000000000000
χ8544-4-4-4-4444-200004-4-22-4-44422-22-2-4-2-2222-2-22000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i20000000000000000
χ8644-4-4-4-4444-200004-4-22-4-44422-22-2-4-2-2222-2-220000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i20000000000000000
χ8744-4-4-4-444-240000-224-422-2-2-4-44-442-2-2222-2-220000000000000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000
χ8844-4-4-4-444-240000-224-422-2-2-4-44-442-2-2222-2-2200000000000000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000
χ894-444-4-44-4440000-44-444-4-444-4-4-44-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-44-44-20000-442-24-4-44-2222-2-4-22-2-222-220000000000000000000000000000000000000000000000000000006−6−666−6−660000000000000000
χ914-444-4-44-44-20000-442-24-4-44-2222-2-4-22-2-222-22000000000000000000000000000000000000000000000000000000−666−6−666−60000000000000000
χ924-444-4-44-4-2400002-2-44-222-24-4-4-442-22-2-222-220000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ934-444-4-44-4-2400002-2-44-222-24-4-4-442-22-2-222-220000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ944-44-4-44-44440000-44-44-444-4-444-4-4-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-444-20000-442-2-444-42-2-222-4-22-22-2-222000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000
χ964-44-4-44-444-20000-442-2-444-42-2-222-4-22-22-2-222000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000
χ974-44-4-44-44-2400002-2-442-2-22-444-4-42-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ984-44-4-44-44-2400002-2-442-2-22-444-4-42-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ994-4-444-4-444-2-4-444-4-4224-44-4-22-2-224-222-22-22-22-22-4-44-2400000000002-22-200000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-2444-4-422-4-4-22-224-444-4-2-222-22-22-24-44-2-22-420000000000-22-2200000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-244-4-42222-22-22-22-2-22-21-1-11-11-11-22-2-2-222200−2i32i3−2i32i300001-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1024-4-444-4-44-2-244-4-42222-22-22-22-2-22-21-1-11-11-11-22-2-2-2222002i3−2i32i3−2i300001-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-2-2-4-4442222-22-22-22-2-22-21-1-11-11-112-2222-2-2-2000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-2-2-4-4442222-22-22-22-2-22-21-1-11-11-112-2222-2-2-20000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-2-444-4-4-422-44-442-22-2-24-2222-22-2-22-2-2-44-42400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-244-4-4422-4-42-22-2-44-444-2-2222-22-2-24-4-4-22-2420000000000-222-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-24-4-4422222-22-22-22-2-2-21-1-1-11-111-222-22-2-2200−2i32i32i3−2i300001-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-24-4-4422222-22-22-22-2-2-21-1-1-11-111-222-22-2-22002i3−2i3−2i32i300001-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-444-422222-22-22-22-2-2-21-1-1-11-1112-2-22-222-2000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-422222-22-22-22-2-2-21-1-1-11-1112-2-22-222-20000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ11188-88-88-8-8-4-40000-44-44-4-444-4-4444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-40000-44-4444-4-444-44-4422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-44-4-444-4-4444-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-400004-44-44-4-444-4-44442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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