Finite Group Databasebeta

← Group #11787594

Character table — Group #11787594

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122222223344446666666666666636666666121212121212121222666666666666666612121212444444448888888824242424242424242424242424242424444412121212121212124444
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1i−ii−i
χ10111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−ii−ii
χ11111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i-1-111−ii−ii
χ12111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii-1-111i−ii−i
χ13111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1i−i−ii
χ14111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1−iii−i
χ15111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111−iii−i
χ16111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii-1-111i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
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χ2422222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000000011110000
χ2522222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-211111111-1-1-1-122220000-2-2-2-20000111111110000000000000000-1-1-1-10000
χ2622222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-211111111-1-1-1-1-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000000011110000
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χ29222-22-2-2-22-12-22-222-1-1-2-2-2-2111-112-1-1-11111-1-1-112-2-2122-222-1-1-2-211-1-1-1-11111-1-11100002i2i−2i−2i00002i2i−2i−2i00000000−i−i−i−iiiii0000−i−iii00000000
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χ33222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-2-1-12211-2-2-1-1-1-11111-1-11122-2-2000022-2-20000-1-1-1-111110000000000000000-1-1110000
χ34222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-2-1-12211-2-2-1-1-1-11111-1-111-2-2220000-2-22200001111-1-1-1-1000000000000000011-1-10000
χ35222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-2211-2-2-1-1221111-1-1-1-1-1-11122-2-20000-2-22200001111-1-1-1-10000000000000000-1-1110000
χ36222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-2211-2-2-1-1221111-1-1-1-1-1-111-2-222000022-2-20000-1-1-1-11111000000000000000011-1-10000
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χ8244-44-4-44-44-200004-4-2244-4-4-2222-2-4-2-22-2-2222000000000000000000000000000000000000000000−2222−22220000000022−2−222−2−20000000000000000
χ8344-44-4-44-4-240000-224-4-2-2224-4-4-442-2-22-2-222200000000000000000000000000000000000000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ8444-44-4-44-4-240000-224-4-2-2224-4-4-442-2-22-2-2222000000000000000000000000000000000000002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ8544-4-4-44-444-200004-4-22-4-4442-2-222-4-2-2222-2-22000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i20000000000000000
χ8644-4-4-44-444-200004-4-22-4-4442-2-222-4-2-2222-2-220000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i20000000000000000
χ8744-4-4-44-44-240000-224-422-2-2-444-4-42-2-2222-2-2200000000000000000000000000000000000000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ8844-4-4-44-44-240000-224-422-2-2-444-4-42-2-2222-2-22000000000000000000000000000000000000002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ894-444-44-4-4440000-44-444-4-444-44-4-4-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-44-4-44-20000-442-24-4-44-22-222-4-22-2-222-220000000000000000000000000000000000000000000000000000006−6−666−6−660000000000000000
χ914-444-44-4-44-20000-442-24-4-44-22-222-4-22-2-222-22000000000000000000000000000000000000000000000000000000−666−6−666−60000000000000000
χ924-444-44-4-4-2400002-2-44-222-24-44-4-42-22-2-222-2200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ934-444-44-4-4-2400002-2-44-222-24-44-4-42-22-2-222-220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ944-44-4-4-444440000-44-44-444-4-44-4-44-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-4-4444-20000-442-2-444-42-222-2-4-22-22-2-222000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000
χ964-44-4-4-4444-20000-442-2-444-42-222-2-4-22-22-2-222000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000
χ974-44-4-4-444-2400002-2-442-2-22-44-4-442-22-22-2-22200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000000000
χ984-44-4-4-444-2400002-2-442-2-22-44-4-442-22-22-2-2220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000000000
χ994-4-444-4-444-2-4-444-4-4224-44-4-2-22-224-222-22-22-22-22-4-44-240000000000000000002-22-2000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-2444-4-422-4-4-22-2244-44-4-2-222-22-22-24-44-2-22-42000000000000000000-22-22000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-244-4-42222-22-22-2-22-22-21-1-11-11-11-22-2-2-22220000−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i31-11-1000000000000000000000000000000000000000000000000
χ1024-4-444-4-44-2-244-4-42222-22-22-2-22-22-21-1-11-11-11-22-2-2-222200002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i31-11-1000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-2-2-4-4442222-22-22-2-22-22-21-1-11-11-112-2222-2-2-200−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i3-11-11000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-2-2-4-4442222-22-22-2-22-22-21-1-11-11-112-2222-2-2-2002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i3-11-11000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-2-444-4-4-422-44-4422-2-2-24-2222-22-2-22-2-2-44-4240000000000000000002-2-22000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-244-4-4422-4-42-22-2-4-4444-2-2222-22-2-24-4-4-22-242000000000000000000-222-2000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-24-4-4422222-22-222-2-2-2-21-1-1-11-111-222-22-2-220000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i31-1-11000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-24-4-4422222-22-222-2-2-2-21-1-1-11-111-222-22-2-2200002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i31-1-11000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-444-422222-22-222-2-2-2-21-1-1-11-1112-2-22-222-200−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i3-111-1000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-422222-22-222-2-2-2-21-1-1-11-1112-2-22-222-2002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i3-111-1000000000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-44-44-4-444-4444-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-44-4444-4-44-4-444422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-44-4-444-4-44-44442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-8-888-4-400004-44-44-4-444-444-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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