Finite Group Databasebeta

← Group #10822341

Character table — Group #10822341

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222222222344444444666666666666666444444441212121212121212121212121212121212121212121212122222222266666666666666662244444488888888
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
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ911111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1411111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1511111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1611111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-222222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
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
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-22-2-22222-2-22222-2-2-2-2-2-2-2-222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-22222-2-22222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122-2-2-2-222-1-1-1-111111111-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122-2-2-2-222-1-1-1-111111111-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-122-2-2-2-222-1-1-1-111111111-1-1-1-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-2-2-2-2-122-2-2-2-222-1-1-1-111111111-1-1-1-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322222222-2-2-2-2-1-2-22222-2-2-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222222-2-2-2-2-1-2-22222-2-2-1-1-1-111111111-1-1-122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222222-2-2-2-2-1-2-22222-2-2-1-1-1-111111111-1-1-1-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-22222-2-2-1-1-1-111111111-1-1-1-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-2-2-2-2222-2-222222-2-2-2-222-2-22222-2-2-2-22-2-20000000022-2-222-2-20000000000000000000000000000000000000000002i−2i2i−2i0000000000
χ38222-2-2-2-2222-2-222222-2-2-2-222-2-22222-2-2-2-22-2-20000000022-2-222-2-2000000000000000000000000000000000000000000−2i2i−2i2i0000000000
χ39222-2-2-2-2222-2-22-2-2-2-2222222-2-22222-2-2-2-22-2-200000000-2-222-2-22200000000000000000000000000000000000000002-200002-200000000
χ40222-2-2-2-2222-2-22-2-2-2-2222222-2-22222-2-2-2-22-2-200000000-2-222-2-2220000000000000000000000000000000000000000-220000-2200000000
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χ42222-2-2-2-22-2-222222-2-222-2-222-2-2-2-2-2-222222-2-20000000022-2-2-2-222000000000000000000000000000000000000000000−2i2i2i−2i0000000000
χ43222-2-2-2-22-2-2222-2-222-2-22222-2-2-2-2-2-222222-2-200000000-2-22222-2-200000000000000000000000000000000000000002-20000-2200000000
χ44222-2-2-2-22-2-2222-2-222-2-22222-2-2-2-2-2-222222-2-200000000-2-22222-2-20000000000000000000000000000000000000000-2200002-200000000
χ452-2-222-2-222-22-222-22-22-22-2-2-2-2-222-2-222-2-2222000000002-22-22-22-2000000000000000000002-22-2000000002-22-22-22-20000000000000000
χ462-2-222-2-222-22-222-22-22-22-2-2-2-2-222-2-222-2-2222000000002-22-22-22-200000000000000000000-22-2200000000-22-22-22-220000000000000000
χ472-2-222-2-222-22-22-22-22-22-22-2-2-2-222-2-222-2-222200000000-22-22-22-2200000000000000002-22-200002-22-22-22-2000000000000000000000000
χ482-2-222-2-222-22-22-22-22-22-22-2-2-2-222-2-222-2-222200000000-22-22-22-220000000000000000-22-220000-22-22-22-22000000000000000000000000
χ492-2-222-2-222-22-2-12-22-22-22-21111-1-111-1-111-1-1-100000000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-22-2−i3i3i3−i3−i3i3i3−i3-11-11-11-110000000000000000
χ502-2-222-2-222-22-2-12-22-22-22-21111-1-111-1-111-1-1-100000000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000-22-22i3−i3−i3i3i3−i3−i3i31-11-11-11-10000000000000000
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χ522-2-222-2-222-22-2-12-22-22-22-21111-1-111-1-111-1-1-100000000-11-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000-22-22−i3i3i3−i3−i3i3i3−i31-11-11-11-10000000000000000
χ532-2-222-2-222-22-2-1-22-22-22-221111-1-111-1-111-1-1-1000000001-11-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i32-22-20000-11-11-11-11−i3i3i3−i3−i3i3i3−i30000000000000000
χ542-2-222-2-222-22-2-1-22-22-22-221111-1-111-1-111-1-1-1000000001-11-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-22-2200001-11-11-11-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ552-2-222-2-222-22-2-1-22-22-22-221111-1-111-1-111-1-1-1000000001-11-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i32-22-20000-11-11-11-11i3−i3−i3i3i3−i3−i3i30000000000000000
χ562-2-222-2-222-22-2-1-22-22-22-221111-1-111-1-111-1-1-1000000001-11-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-22-2200001-11-11-11-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ572-2-222-2-22-22-2222-2-22-222-2-2-2-2-2-2-222-2-222222000000002-22-2-22-22000000000000000000002-2-22000000002-22-2-22-220000000000000000
χ582-2-222-2-22-22-2222-2-22-222-2-2-2-2-2-2-222-2-222222000000002-22-2-22-2200000000000000000000-222-200000000-22-222-22-20000000000000000
χ592-2-222-2-22-22-222-222-22-2-22-2-2-2-2-2-222-2-22222200000000-22-222-22-200000000000000002-2-2200002-22-2-22-22000000000000000000000000
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χ632-2-222-2-22-22-22-12-2-22-222-2111111-1-111-1-1-1-1-100000000-11-111-11-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300002-2-22i3−i3−i3i3−i3i3i3−i3-11-111-11-10000000000000000
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χ8644-44-44-4-40000-200000000-22-222i3−2i32i3−2i32i3−2i32i3−2i32-220000-440000000000−2i32i3−2i32i300002-22-200000000000000000000000000000000000000000000
χ8744-4-44-44-400004000000004-4-4400000000-4-44004-400000000000000004-44-4000000000000000000000000000000000000000000000000
χ8844-4-44-44-400004000000004-4-4400000000-4-4400-440000000000000000-44-44000000000000000000000000000000000000000000000000
χ8944-4-44-44-40000-200000000-222-2−2i32i3−2i32i32i3−2i32i3−2i322-2004-40000000000000000-22-220000−2i32i3−2i32i30000000000000000000000000000000000000000
χ9044-4-44-44-40000-200000000-222-2−2i32i3−2i32i32i3−2i32i3−2i322-200-4400000000000000002-22-200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ9144-4-44-44-40000-200000000-222-22i3−2i32i3−2i3−2i32i3−2i32i322-2004-40000000000000000-22-2200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ9244-4-44-44-40000-200000000-222-22i3−2i32i3−2i3−2i32i3−2i32i322-200-4400000000000000002-22-20000−2i32i3−2i32i30000000000000000000000000000000000000000
χ934-444-4-44-40000400000000-44-4400000000-44-44-4000000000000004-4-440000000000000000000000000000000000000000000000000000
χ944-444-4-44-40000400000000-44-4400000000-44-4-4400000000000000-444-40000000000000000000000000000000000000000000000000000
χ954-444-4-44-40000-2000000002-22-2−2i32i32i3−2i3−2i32i32i3−2i32-224-400000000000000-222-20000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ964-444-4-44-40000-2000000002-22-2−2i32i32i3−2i3−2i32i32i3−2i32-22-44000000000000002-2-2200002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ974-444-4-44-40000-2000000002-22-22i3−2i3−2i32i32i3−2i3−2i32i32-224-400000000000000-222-200002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ984-444-4-44-40000-2000000002-22-22i3−2i3−2i32i32i3−2i3−2i32i32-22-44000000000000002-2-220000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ994-44-444-4-40000400000000-444-400000000-4-440000004-4000000000000000000004-4-440000000000000000000000000000000000000000
χ1004-44-444-4-40000400000000-444-400000000-4-44000000-4400000000000000000000-444-40000000000000000000000000000000000000000
χ1014-44-444-4-40000-2000000002-2-22−2i32i32i3−2i32i3−2i3−2i32i322-20000004-4000000000000−2i32i32i3−2i30000-222-20000000000000000000000000000000000000000
χ1024-44-444-4-40000-2000000002-2-22−2i32i32i3−2i32i3−2i3−2i32i322-2000000-440000000000002i3−2i3−2i32i300002-2-220000000000000000000000000000000000000000
χ1034-44-444-4-40000-2000000002-2-222i3−2i3−2i32i3−2i32i32i3−2i322-20000004-40000000000002i3−2i3−2i32i30000-222-20000000000000000000000000000000000000000
χ1044-44-444-4-40000-2000000002-2-222i3−2i3−2i32i3−2i32i32i3−2i322-2000000-44000000000000−2i32i32i3−2i300002-2-220000000000000000000000000000000000000000
χ1054-4-4-4-44444-4-44-24-44-4-44-4422-2-2-2-22222-2-2-22200000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-44444-4-44-2-44-444-44-422-2-2-2-22222-2-2-222000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-444-4-24-4-444-4-4422-2-222-2-2-2-222-22200000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-444-4-2-444-4-444-422-2-222-2-2-2-222-222000000002-2-22-222-200000000000000000000000000000000000000000000000000000000

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