Finite Group Databasebeta

← Group #11789871

Character table — Group #11789871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-111-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−ii−i
χ1011-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-111-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i-1-111ii−i−iii−i−i-1-1-1-11111-11i−i-1-111ii−i−i−i−iii−ii
χ1111-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-111-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−ii
χ1211-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-111-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii-1-111−i−iii−i−iii-1-1-1-11111-11−ii-1-111−i−iiiii−i−ii−i
χ1311-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1-11−ii-1-111−i−iiiii−i−i−ii
χ1411-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i-1-111ii−i−iii−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iiii−i
χ1511-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1-11i−i-1-111ii−i−i−i−iiii−i
χ1611-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11-1-11-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii-1-111−i−iii−i−iii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-122222-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ20222222222-122222-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
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χ22222222222-122222-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ23222222222-1-2-2-2-22-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000000000−i3i3−i3i3000000
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χ25222222222-1-2-2-2-22-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22-12222-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-12-1-1-1-1222-122-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ2822222222-122222-12-1-1-1-1222-122-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ2922222222-122222-12-1-1-1-1222-122-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ3022222222-122222-12-1-1-1-1222-122-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
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χ3322-22-22-2-22-12-22-22-1-2-2-2-211-12-1121-1-11111-1-1-1-1112-2-222-222-1-1-2-211-1-111-1-1-1-111112i−2i2i−2i0000−i−iii−i−iii00000000002i−2i0000−i−iii000000
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χ3522-22-22-2-22-12-22-22-1-2-2-2-211-12-1121-1-11111-1-1-1-1112-2-22-22-2-21122-1-1-1-1111111-1-1-1-12i−2i2i−2i0000−i−iii−i−iii0000000000−2i2i0000ii−i−i000000
χ3622-22-22-2-22-12-22-22-1-2-2-2-211-12-1121-1-11111-1-1-1-1112-2-22-22-2-21122-1-1-1-1111111-1-1-1-1−2i2i−2i2i0000ii−i−iii−i−i00000000002i−2i0000−i−iii000000
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χ4422-22-22-2-2-122-22-2-121111-2-22-12-2-1-2-1-11111-1-122-2-2-111-1-2211-2-2-1-122-1-1111111-1-1-1-10000-2-222000000001111-1-1-1-12-200-1-1110000000000
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χ884-44-4-44-44-24-444-42-4-2-2224442-4-4-2-4-22-2-222-22-44-4422-2-200000000002-22-200000000000000000000000000000000000000000000000000
χ894-44-4-44-44-2-24-4-4422-2-222-2-2-2222-221-111-1-11-1-22-22-2-2220023−230023−23001-11-1−33−33−33−33000000000000000000000000000000000000000000
χ904-44-4-44-44-2-24-4-4422-2-222-2-2-2222-221-111-1-11-1-22-22-2-22200−232300−2323001-11-13−33−33−33−3000000000000000000000000000000000000000000
χ914-44-4-44-44-2-2-444-422-2-222-2-2-2222-221-111-1-11-12-22-222-2-20000000000-11-113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ924-44-4-44-44-2-2-444-422-2-222-2-2-2222-221-111-1-11-12-22-222-2-20000000000-11-11−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ934-4-44-4-444440000-4-4-444-4-44-444-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-4-4444-20000-42-444-42-224-22-4-2-222-2-222-2000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ954-4-44-4-4444-20000-42-444-42-224-22-4-2-222-2-222-20000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ964-4-44-4-444-2400002-42-2-22-44-4-24-424-222-2-222-200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ974-4-44-4-444-2400002-42-2-22-44-4-24-424-222-2-222-20000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ984-4-4-4444-44-244-4-4-42-4-44422-2-42-24-2-2222-2-2-22-222-24-44-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-4-444-42-4-44422-2-42-24-2-2222-2-2-222-2-22-44-4400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-4-4442-422-2-2-4-442-44-24-2222-2-2-22-444-42-22-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-244-4-42222-2-222-222-2-2-21-1-1-1111-1-222-2-22-220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-244-4-42222-2-222-222-2-2-21-1-1-1111-1-222-2-22-2200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-4-4442222-2-222-222-2-2-21-1-1-1111-12-2-222-22-20000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-4-4442222-2-222-222-2-2-21-1-1-1111-12-2-222-22-20000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ105888-8-8-88-8-4-40000-4-4-44-44-4444444-4222-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-4-44-44-44-4444-44422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-4000044-444-4-444-4-4-4442-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-40000444-4-444-44-4-444-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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