Finite Group Databasebeta

← Group #11787546

Character table — Group #11787546

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12222222334444666666666666663666666612121212121212122266666666666666661212121222224444888888882424242424242424242424242424242444446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
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
χ9111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−ii−ii−i
χ10111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−ii−ii
χ11111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i−ii−ii
χ12111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iiii−ii−i
χ13111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1ii−i−ii−i−ii
χ14111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−i−iii−iii−i
χ15111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-1-111ii−i−i−iii−i
χ16111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-1-111−i−iiii−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000222200000000-2-200
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χ19222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2111111111111-1-1-1-122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
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χ2422222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-21111-2-2-2-211111111-1-1-1-1000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ27222-22-2-2-222-22-2222-2-2-222-2-2-2-222-2222-2-2-2-22-2-2-2222-22000000000000000000-2-222000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
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χ8444-44-44-4-4-240000-22-2-224-444-4-42-42-2-22-2-22220000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i20000000000000000
χ8544-4-4-4-4444-200004-4-4-44-2222-2-2-424-2-2222-2-220000000000000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000
χ8644-4-4-4-4444-200004-4-4-44-2222-2-2-424-2-2222-2-2200000000000000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000
χ8744-4-4-4-444-240000-2222-24-4-4-4442-4-2-2-2222-2-2200000000000000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000
χ8844-4-4-4-444-240000-2222-24-4-4-4442-4-2-2-2222-2-22000000000000000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000
χ894-444-4-44-4440000-444-4-4-444-4-44-4-444-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-44-44-20000-444-4-42-2-222-2-424-22-2-222-220000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ914-444-4-44-44-20000-444-4-42-2-222-2-424-22-2-222-220000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ924-444-4-44-4-2400002-2-222-444-4-442-4-2-22-2-222-22000000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000
χ934-444-4-44-4-2400002-2-222-444-4-442-4-2-22-2-222-22000000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000
χ944-44-4-44-44440000-44-444-44-444-4-4-4-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-444-20000-44-4442-22-2-22-42-4-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ964-44-4-44-444-20000-44-4442-22-2-22-42-4-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ974-44-4-44-44-2400002-22-2-2-44-444-42-42-22-22-2-2220000000000000000000000000000000000000000000000000000006−6−66−666−60000000000000000
χ984-44-4-44-44-2400002-22-2-2-44-444-42-42-22-22-2-222000000000000000000000000000000000000000000000000000000−666−66−6−660000000000000000
χ994-4-444-4-444-244-4-4-4-44-4422-22-224-2-4-222-22-22-24-4-24-222-4000000000000000000-22-22000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-24-4-44422-22-2-4-44-44-4-242-222-22-22-22-2-42-444-20000000000000000002-22-2000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-244-4-422-22-222-22-22-2-221-1-11-11-11-22-2-2-222200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000000000000000
χ1024-4-444-4-44-2-244-4-422-22-222-22-22-2-221-1-11-11-11-22-2-2-2222002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-2-2-4-44422-22-222-22-22-2-221-1-11-11-112-2222-2-2-2000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3-11-11000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-2-2-4-44422-22-222-22-22-2-221-1-11-11-112-2222-2-2-20000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3-11-11000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-24-4-44-4-4-44-4222-22-24-24-2222-22-2-24-4-2-42-224000000000000000000-222-2000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-24-444-4222-22-4-4-44-44-24-2-2222-22-2-22-2-4-24-4420000000000000000002-2-22000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-24-4-44222-22222-22-2-2-2-21-1-1-11-111-22-222-22-200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-24-4-44222-22222-22-2-2-2-21-1-1-11-111-22-222-22-2002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-444-4222-22222-22-2-2-2-21-1-1-11-1112-22-2-22-22000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-111-1000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-4222-22222-22-2-2-2-21-1-1-11-1112-22-2-22-220000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-111-1000000000000000000000000000000000000000000000000
χ11188-88-88-8-8-4-40000-44-4-44-44-4-44444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-40000-4444-4-4444-4-444-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-4-4444-4-444-444-42-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-400004-44-4-44-44-4-444442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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