Finite Group Databasebeta

← Group #11808223

Character table — Group #11808223

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444222234466666666666666612121212121212121212121266666666666612121212121222224444444444666612121212121212126612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ711111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111
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χ18222222222-1222222-1-1-1-1-1-1-12000000002222-12222222222-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-200000000000000001111111100000000
χ19222222222-1222222-1-1-1-1-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-11111111111002222-2-2-2-20000000000000000-1-1-1-1111100000000
χ20222222222-1222222-1-1-1-1-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-1111111111100-2-2-2-2222200000000000000001111-1-1-1-100000000
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χ22222222222-1222222-1-1-1-1-1-1-1200000000-2-222-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-20000000011-1-11111-1-1-1-111111100-2-222-2-222000000000000000011-1-111-1-100000000
χ23222222222-1222222-1-1-1-1-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-10022-2-2-2-2220000000000000000-1-11111-1-100000000
χ24222222222-1222222-1-1-1-1-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-100-2-22222-2-2000000000000000011-1-1-1-11100000000
χ2522222222-12-1-1-1-1-1-12222222-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122000000002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1-1-12222222-12222222222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-21111-2-20000000022-2-21111-1-1-1-111110000000000000000
χ2722222222-12-1-1-1-1-1-12222222-122222222-2-222-1-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-21111-2-200000000-2-22211111111-1-1-1-10000000000000000
χ2822222222-12-1-1-1-1-1-12222222-122222222-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-12200000000-2-2-2-2-1-1-1-1111111110000000000000000
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χ3022222222-12-1-1-1-1-1-12222222-1-2-2-2-2-2-2-2-222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-111111111111122-2-2-1-1-1-11111-2-211112200000000-2-222-1-1-1-11111-1-1-1-10000000000000000
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χ3222222222-12-1-1-1-1-1-12222222-1-2-2-2-2-2-2-2-2-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111122-1-1-1-1-2-20000000022221111-1-1-1-1-1-1-1-10000000000000000
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χ4122-2-2-2-222222-2-2-2-22-2-2222-2-2222-2-2-2-222000022-2000000002-2-2-2-22222-2-222-2-2-2-2220000000000002-222-2-22-200000000000022-2-2000000000000000000000000
χ4222-2-2-2-222222-2-2-2-22-2-2222-2-2222-2-2-2-22200002-22000000002-2-2-2-222-2-22222-2-2-2-222000000000000-22-2-222-22000000000000-2-222000000000000000000000000
χ4322-2-2-2-222222-2-2-2-22-2-2222-2-22-2-22222-2-2000022-2000000002-2-2-2-22222-2-2-2-22222-2-20000000000002-222-2-2-22000000000000-2-222000000000000000000000000
χ4422-2-2-2-222222-2-2-2-22-2-2222-2-22-2-22222-2-200002-22000000002-2-2-2-222-2-222-2-22222-2-2000000000000-22-2-2222-200000000000022-2-2000000000000000000000000
χ4522-2-2-2-222-12-11111-1-2-2222-2-2-122-2-2-2-2220000-12-2−i3−i3i3i3−i3−i3i3i3-11111-1-1-1-111-1-11111-1-10000−i3−i3i3i3−i3−i3i3i32-2-1-1112-2000000000000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ4722-2-2-2-222-12-11111-1-2-2222-2-2-122-2-2-2-2220000-1-22−i3−i3i3i3i3i3−i3−i3-11111-1-111-1-1-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3-2211-1-1-2200000000000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
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χ532-222-2-22-222-22-22-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i000020000000000-22-22-22-200002i−2i2i−2i2i−2i2i−2i000000000000000000002-200000000000000000000002-20000000000002i−2i
χ542-222-2-22-222-22-22-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i000020000000000-22-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000-220000000000000000000000-22000000000000−2i2i
χ552-222-2-22-222-22-22-22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i000020000000000-22-22-22-20000−2i2i−2i2i−2i2i−2i2i000000000000000000002-200000000000000000000002-2000000000000−2i2i
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χ762-2-222-2-22-1211-1-1112-2-22-2-22-12-2-222-2-22-2200-1001-1-11i3−i3−i3i311-1-111-1−i3i3i3−i3-111-1-111-1-22001-1-11i3−i3−i3i300−i3i3i3−i30000000000-2200−i3i3i3−i31-1-11i3−i3−i3i30000000000000000
χ772-2-222-2-22-1211-1-1112-2-22-2-22-1-222-2-222-22-200-100-111-1−i3i3i3−i311-1-111-1−i3i3i3−i31-1-111-1-112-200-111-1−i3i3i3−i300−i3i3i3−i30000000000-2200i3−i3−i3i31-1-11i3−i3−i3i30000000000000000
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χ812-2-2-2222-222-2-22-222222-2-2-2-2-22i−2i−2i2i−2i2i2i−2i000020000000000-2-22-222-200002i−2i−2i2i−2i2i2i−2i000000000000000000000000002i−2i00000000000000000000002i−2i00002-200
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χ842-2-2-2222-222-2-22-222222-2-2-2-2-2−2i2i2i−2i2i−2i−2i2i000020000000000-2-22-222-20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000−2i2i0000000000000000000000−2i2i00002-200
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004444144-2-2-2-2-2-2-2-21111111-2-2-2-200000000-2-2-2-211111111-2-21111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000044-4-41-4-4-2-2-2-222221111111222200000000-2-2221111-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4441-4-42222-2-2-2-2111111122220000000022-2-2-1-1-1-1111122-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4-4-4144222222221111111-2-2-2-2000000002222-1-1-1-1-1-1-1-1-2-21111000000000000000000000000000000000000000000
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χ10144-4-4-4-444-2-2-22222-222-2-2-222-20000000000001-44−2i3−2i32i32i32i32i3−2i3−2i31-1-1-1-11122-2-2000000000000i3i3−i3−i3−i3−i3i3i32-2-1-111000000000000000000000000000000000000000000
χ10244-4-4-4-444-2-2-22222-222-2-2-222-20000000000001-442i32i3−2i3−2i3−2i3−2i32i32i31-1-1-1-11122-2-2000000000000−i3−i3i3i3i3i3−i3−i32-2-1-111000000000000000000000000000000000000000000
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χ1044-444-4-44-44-2-44-44-4422-222-2-2-4000000000000-200000000002-22-22-2200000000000000000000000000000000-4400000000000000000000002-200000000000000
χ1054-444-4-44-4-242-22-22-2-4-44-4-44424i−4i4i−4i4i−4i4i−4i0000-200000000002-22-22-220000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-44-4-242-22-22-2-4-44-4-4442−4i4i−4i4i−4i4i−4i4i0000-200000000002-22-22-2200002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1114-44-4-44-44-2-22-222-222-22-22-22-20000000000-44100−2i32i3−2i32i32-22-2-11-1-11-112i3−2i32i3−2i300000000002-2i3−i3i3−i3-11-1100−i3i3−i3i3000000000000000000000000000000000000000000
χ1124-44-4-44-44-2-22-222-222-22-22-22-20000000000-441002i3−2i32i3−2i32-22-2-11-1-11-11−2i32i3−2i32i300000000002-2−i3i3−i3i3-11-1100i3−i3i3−i3000000000000000000000000000000000000000000
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χ1144-4-444-4-444-2-4-444-4-4-222-222-2400000000-4400-200-444-4000022-2-222-20000000000002-2002-2-220000000000000000000000000000000000000000000000000000
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χ1174-4-444-4-44-2-222-2-222-222-222-2-200000000-44001002-2-22−2i32i32i3−2i3-1-111-1-112i3−2i3−2i32i3000000002-200-111-1i3−i3−i3i300−i3i3i3−i3000000000000000000000000000000000000000000
χ1184-4-444-4-44-2-222-2-222-222-222-2-200000000-44001002-2-222i3−2i3−2i32i3-1-111-1-11−2i32i32i3−2i3000000002-200-111-1−i3i3i3−i300i3−i3−i3i3000000000000000000000000000000000000000000
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χ1204-4-4-4444-44-2-4-44-444-2-2-22222-4000000000000-2000000000022-22-2-2200000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ1214-4-4-4444-4-2422-22-2-2444-4-4-4-424i−4i−4i4i−4i4i4i−4i0000-2000000000022-22-2-220000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-4444-4-2422-22-2-2444-4-4-4-42−4i4i4i−4i4i−4i−4i4i0000-2000000000022-22-2-2200002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ123888-88-8-8-8-4-4-4-4-4444-4444-4-44400000000000020000000000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-888-8-88-8-4-44-44-44-444-444-4-4400000000000020000000000-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-8888-8-4-444-44-4-4-4-4-44444400000000000020000000000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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