Finite Group Databasebeta

← Group #10823201

Character table — Group #10823201

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666666666664444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212122244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1411111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1511111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1611111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-222222222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-22-2-2-22222-2222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-22222-2222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2922222222-2-2-2-2-1222-2-2-2-22-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-1222-2-2-2-22-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
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χ3222222222-2-2-2-2-1222-2-2-2-22-1-1-111111111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322222222-2-2-2-2-1-2-2-22222-2-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
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χ3522222222-2-2-2-2-1-2-2-22222-2-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-2-22222-2-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-22-2-2222-2-2222-222-2-2-22-2-22222-2-2-2-2-2-22200000000000000000000000022-2-222-2-2000000000000000000000000002i−2i2i−2i0000000000
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χ3922-2-22-2-2222-2-22-2-22-2-22222-2-22222-2-2-2-2-2-222000000000000000000000000-2-222-2-2220000000000000000000000002-200002-200000000
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χ582-2-2-2-22222-2-22-12-2-22-2-2221-1-1-1-11111-1-1111-10000000033−3−333−3−333−3−333−3−3-111-1-111-10000-22-22−333−3−333−31-11-11-11-10000000000000000
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χ622-2-2-2-22222-2-22-1-222-222-2-21-1-1-1-11111-1-1111-10000000033−3−3−3−33333−3−3−3−3331-1-111-1-11−2i2i−2i2i0000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i30000000000000000
χ632-2-2-2-22222-2-22-1-222-222-2-21-1-1-1-11111-1-1111-100000000−3−33333−3−3−3−33333−3−31-1-111-1-112i−2i2i−2i0000−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i30000000000000000
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χ662-2-2-2-2222-222-222-2-2-222-22-222-2-22222-2-2-2-2-220000000000000000000000002-2-22-222-20000-222-200000000-22-222-22-20000000000000000
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χ9144-4-44-4-44-4-444-244-4-4-444-4-2222222-2-2-2-222-2-2000000000000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ9244-4-44-4-44-4-444-2-4-4444-4-44-2222222-2-2-2-222-2-200000000000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ934-444-4-4-444-44-4-24-444-44-4-4222-2-222-2-222-2-22-2000000000000000000000000-22-22-22-220000000000000000000000000000000000000000
χ944-444-4-4-444-44-4-2-44-4-44-444222-2-222-2-222-2-22-20000000000000000000000002-22-22-22-20000000000000000000000000000000000000000
χ954-444-4-4-44-44-44-24-44-44-44-422222-2-222-2-2-2-22-2000000000000000000000000-22-222-22-20000000000000000000000000000000000000000
χ964-444-4-4-44-44-44-2-44-44-44-4422222-2-222-2-2-2-22-20000000000000000000000002-22-2-22-220000000000000000000000000000000000000000
χ974-44-44-44-40000400000000-4-44000000004-44-40000004i−4i0000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ984-44-44-44-40000400000000-4-44000000004-44-4000000−4i4i000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ994-44-44-44-40000-20000000022-2−2i32i32i3−2i3−2i32i32i3−2i3-22-220000004i−4i000023−23−23230000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1004-44-44-44-40000-20000000022-2−2i32i32i3−2i3−2i32i32i3−2i3-22-22000000−4i4i0000−232323−2300002i−2i−2i2i000000000000000000000000000000000000000000000000
χ1014-44-44-44-40000-20000000022-22i3−2i3−2i32i32i3−2i3−2i32i3-22-220000004i−4i0000−232323−230000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1024-44-44-44-40000-20000000022-22i3−2i3−2i32i32i3−2i3−2i32i3-22-22000000−4i4i000023−23−232300002i−2i−2i2i000000000000000000000000000000000000000000000000
χ1034-4-4444-4-40000400000000-44-400000000-444-44i−4i0000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-40000400000000-44-400000000-444-4−4i4i000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-4-40000-2000000002-22−2i32i32i3−2i32i3−2i3−2i32i32-2-224i−4i000000−2i2i2i−2i000023−23−23230000000000000000000000000000000000000000000000000000
χ1064-4-4444-4-40000-2000000002-22−2i32i32i3−2i32i3−2i3−2i32i32-2-22−4i4i0000002i−2i−2i2i0000−232323−230000000000000000000000000000000000000000000000000000
χ1074-4-4444-4-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i32-2-224i−4i000000−2i2i2i−2i0000−232323−230000000000000000000000000000000000000000000000000000
χ1084-4-4444-4-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i32-2-22−4i4i0000002i−2i−2i2i000023−23−23230000000000000000000000000000000000000000000000000000

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