Finite Group Databasebeta

← Group #11824458

Character table — Group #11824458

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12222222334444666666666666663666666612121212121212124444226666666666666666121212124444444444121212121212121212121212121212122266661212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-11111-1-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-111-1-111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-11111-1-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-1-111
χ17222222222-12222222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ18222222222-12222222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-2-2111111111111-1-1-1-12200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ19222222222-12222222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ20222222222-12222222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111111111-1-1-1-1-2-200000000111111110000000022-1-1-1-1000000000000
χ21222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-2111122222-222-2-2-1-111-1-1-1-111111111-2-200000000-1-1-1-11111000000002-2-1-111000000000000
χ22222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-211112222-22-2-22211-1-11111-1-1-1-11111-2-200000000-1-1-1-1111100000000-2211-1-1000000000000
χ23222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22-222-2-2-1-111-1-1-1-11111111122000000001111-1-1-1-100000000-2211-1-1000000000000
χ24222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-22-2-22211-1-11111-1-1-1-1111122000000001111-1-1-1-1000000002-2-1-111000000000000
χ2522222222-122222-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2622222222-122222-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ2722222222-122222-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-21111-2-2-2-211111111-1-1-1-1002222-2-2-2-20000000011111111000000-1-1-1-100000000
χ2822222222-122222-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-21111-2-2-2-211111111-1-1-1-100-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ2922222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-11122-2-2-1-1-1-1111111110022-2-222-2-200000000-1-1-1-11111000000-1-11100000000
χ3022222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-11122-2-2-1-1-1-11111111100-2-222-2-222000000001111-1-1-1-100000011-1-100000000
χ3122222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-1-1-2-2221111-1-1-1-111110022-2-2-2-222000000001111-1-1-1-1000000-1-11100000000
χ3222222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-1-1-2-2221111-1-1-1-1111100-2-22222-2-200000000-1-1-1-1111100000011-1-100000000
χ332222-2-2-2-22222-2-222-222-2-222-2-2-2-2-2222-2-2-2-2222-2-222-2-2000000000000000000000022-2-2002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
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χ362222-2-2-2-222-2-22222-222-2-222-2-2-2-2-2222-2-2-2-22-2-222-2-2220000000000000000000000-2-22200−2i2i2i−2i00000000000000000000000000−2i2i2i−2i00000000
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χ392222-2-2-2-2-1222-2-2-1-1122-2-2-1211-2-21-1-1-11111-1-1-11122-2-2000000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-1-111002i−2i2i−2i000000000000−3−333−3−333000000−ii−ii00000000
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χ4522-2-2-222-22200002-2-22-22-2-2-22-22-2222-222-2-2-20000000022-2-20000000000000000000000000000002-222-2-2000000002-22-200000000000000002-2
χ4622-2-2-222-22200002-2-22-22-2-2-22-22-2222-222-2-2-20000000022-2-2000000000000000000000000000000-2222-2-200000000-22-220000000000000000-22
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χ894-44-44-44-44-20000-4442-2-22-424-42-2-4-22-22-22-22000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ904-44-44-44-44-20000-4442-2-22-424-42-2-4-22-22-22-220000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ914-44-44-44-4-2400002-2-2-444-42-4-22-442-22-22-22-22000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000
χ924-44-44-44-4-2400002-2-2-444-42-4-22-442-22-22-22-220000000000000000000000000000000000000000000000000000−232323−230000000000000000000000
χ934-44-4-44-444-20000-44-42-22-2-42-44-224-22-2-22-222000000004-44-400000000000000000000000000000000-22-22000000000000000000000000000000
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χ954-44-4-44-44-2400002-22-44-442-42-24-4-2-22-2-22-22200000000000000000000000000000000000000004-40000000000-22-220000000000000000000000
χ964-44-4-44-44-2400002-22-44-442-42-24-4-2-22-2-22-2220000000000000000000000000000000000000000-4400000000002-22-20000000000000000000000
χ974-4-4444-4-4-244-44-422-2-4-4-4-4-242244-2-222-222-2-2-22-224-44-40000000000000000000000-22-2200000000000000000000000000000000000000000000
χ984-4-4444-4-4-24-44-4422-2-4-4-4-4-242244-2-222-222-2-22-22-2-44-4400000000000000000000002-22-200000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-24-44-422-22222-2-222-2-2-21-1-11-1-111-22-22-22-220000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i31-11-100000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-24-44-422-22222-2-222-2-2-21-1-11-1-111-22-22-22-2200000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i31-11-100000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-2-44-4422-22222-2-222-2-2-21-1-11-1-1112-22-22-22-20000000000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i3-11-1100000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-2-44-4422-22222-2-222-2-2-21-1-11-1-1112-22-22-22-200000000002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i3-11-1100000000000000000000000000000000000000000000
χ1034-4-44-4-4444-24-4-44-4-4-422-2-24-24422-4-2222-2-22-24-4-44-222-20000000000000000000000-222-200000000000000000000000000000000000000000000
χ1044-4-44-4-4444-2-444-4-4-4-422-2-24-24422-4-2222-2-22-2-444-42-2-2200000000000000000000002-2-2200000000000000000000000000000000000000000000
χ1054-4-44-4-444-244-4-44222-4-444-24-2-2-4-42-2222-2-22-2-222-24-4-440000000000000000000000-222-200000000000000000000000000000000000000000000
χ1064-4-44-4-444-24-444-4222-4-444-24-2-2-4-42-2222-2-22-22-2-22-444-400000000000000000000002-2-2200000000000000000000000000000000000000000000
χ1074-4-44-4-444-2-24-4-4422222-2-2-2-2-2-22221-1-1-111-11-222-2-222-2000000000000003-3-333-3-331-1-1100000000000000000000000000000000000000000000
χ1084-4-44-4-444-2-24-4-4422222-2-2-2-2-2-22221-1-1-111-11-222-2-222-200000000000000-333-3-333-31-1-1100000000000000000000000000000000000000000000
χ1094-4-44-4-444-2-2-444-422222-2-2-2-2-2-22221-1-1-111-112-2-222-2-22000000000000003-3-33-333-3-111-100000000000000000000000000000000000000000000
χ1104-4-44-4-444-2-2-444-422222-2-2-2-2-2-22221-1-1-111-112-2-222-2-2200000000000000-333-33-3-33-111-100000000000000000000000000000000000000000000
χ11188-8-88-8-88-4-40000-44-4-444-4444-44-4422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-40000-444-44-4444-44-44-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-8-4-400004-4-44-4-4444-444-442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-400004-444-44-4444-4-44-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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