Finite Group Databasebeta

← Group #10876317

Character table — Group #10876317

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222222223444466666666666666622444444666666661212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
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
χ5111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-222222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ192222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ202222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ212222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ22222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-12222-1-1-1-111111111-1-1-1-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2922222222-2-2-2-22222-12222-1-1-1-111111111-1-1-1-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3022222222-2-2-2-22222-1-2-2-2-2-1-1-1-111111111-1-1-1-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
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χ3222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-12222-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-2-2-2-2-12222-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-111111111-1-1-1222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-111111111-1-1-1222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
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χ4022-222-2-2-222-2-200002-2-2222-2-2-22222-2-2-2-222-200-22000000000000-2-222-2-22200000000000000000000000000000000−2i2i−2i2i000000000000
χ4122-222-2-2-2-2-2220000222-2-22-2-2-2-2-2-2-2222222-200-2200000000000022-2-2-2-2220000000000000000000000000000000000002i−2i−2i2i00000000
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χ472-222-22-2-22-22-2-2-22220000-22-2-222-2-222-2-22-22-22000000-2-222-2-222000000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ482-222-22-2-22-22-2-2-22220000-22-2-222-2-222-2-22-22-22000000-2-222-2-222000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ492-222-22-2-2-22-2222-2-220000-22-2-2-2-222-2-2222-22-2200000022-2-2-2-222000000000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
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χ80444-4-4-4-440000-444-44000044-4400000000-4-4-400000000-444-4000000000000000000000000000000000000000000000000000000000000
χ81444-4-4-4-440000-444-4-20000-2-22-2−2i32i32i3−2i3−2i32i32i3−2i3222000000002-2-222i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-440000-444-4-20000-2-22-22i3−2i3−2i32i32i3−2i3−2i32i3222000000002-2-22−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ8344-444-4-4-444-4-40000-244-4-4-2222-2-2-2-22222-2-22004-4000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ8444-444-4-4-444-4-40000-2-4-444-2222-2-2-2-22222-2-2200-4400000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ8544-444-4-4-4-4-4440000-244-4-4-22222222-2-2-2-2-2-2200-44000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ8644-444-4-4-4-4-4440000-2-4-444-22222222-2-2-2-2-2-22004-400000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ8744-4-4-444-400000000400004-44-400000000-4-440000004i−4i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ8844-4-4-444-400000000400004-44-400000000-4-44000000−4i4i00000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ8944-4-4-444-400000000-20000-22-22−2i32i32i3−2i32i3−2i3−2i32i322-20000004i−4i000000000000000023−2323−23−2i2i−2i2i0000000000000000000000000000000000000000
χ9044-4-4-444-400000000-20000-22-22−2i32i32i3−2i32i3−2i3−2i32i322-2000000−4i4i0000000000000000−2323−23232i−2i2i−2i0000000000000000000000000000000000000000
χ9144-4-4-444-400000000-20000-22-222i3−2i3−2i32i3−2i32i32i3−2i322-20000004i−4i0000000000000000−2323−2323−2i2i−2i2i0000000000000000000000000000000000000000
χ9244-4-4-444-400000000-20000-22-222i3−2i3−2i32i3−2i32i32i3−2i322-2000000−4i4i000000000000000023−2323−232i−2i2i−2i0000000000000000000000000000000000000000
χ934-444-44-4-44-44-444-4-4-200002-222-2-222-2-222-22-24-4000000-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ944-444-44-4-44-44-4-4-444-200002-222-2-222-2-222-22-2-4400000022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ954-444-44-4-4-44-4444-4-4-200002-22222-2-222-2-2-22-2-44000000-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ964-444-44-4-4-44-44-4-444-200002-22222-2-222-2-2-22-24-400000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ974-4-44-4-4444-4-44000040000-4-44444-4-4-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-4444-4-440000-2000022-2-2-2-22222-2-2-22200000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ994-4-44-4-4444-4-440000-2000022-2-2-2-22222-2-2-222000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ1004-4-44-4-444-444-4000040000-4-444-4-44444-4-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-444-40000-2000022-2-222-2-2-2-222-22200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1024-4-44-4-444-444-40000-2000022-2-222-2-2-2-222-222000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ1034-4-4-444-440000000044-4-44-4-4-4400000000-44400000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1044-4-4-444-44000000004-444-4-4-4-4400000000-4440000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1054-4-4-444-4400000000-24-4-44222-2−2i32i3−2i32i32i3−2i32i3−2i32-2-20000000000000000-222-2−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1064-4-4-444-4400000000-24-4-44222-22i3−2i32i3−2i3−2i32i3−2i32i32-2-20000000000000000-222-22i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1074-4-4-444-4400000000-2-444-4222-2−2i32i3−2i32i32i3−2i32i3−2i32-2-200000000000000002-2-222i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1084-4-4-444-4400000000-2-444-4222-22i3−2i32i3−2i3−2i32i3−2i32i32-2-200000000000000002-2-22−2i32i32i3−2i3000000000000000000000000000000000000000000000000

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