Finite Group Databasebeta

← Group #10848732

Character table — Group #10848732

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121222444444446666121212121212121212121212121212121212121222224444666666661212121212121212888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ172222222222222-2-2-2-222222222222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ182222222222222-2-2-2-2222222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-1-1-1-11111111111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-1-1-1-11111111111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222111111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222111111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-2-2-222-1-1-1-1-1-1-1-11111-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-2-2-222-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-22222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-22222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ37222-2-2-2-2222i2i−2i−2i22-2-222-2-22-2-22i2i2i2i−2i−2i−2i−2i002i−2i000000000022-2-22i2i−2i−2i00000000000000000000000000000000000000002i−2i2-20000
χ38222-2-2-2-2222i2i−2i−2i22-2-222-2-22-2-22i2i2i2i−2i−2i−2i−2i002i−2i000000000022-2-22i2i−2i−2i0000000000000000000000000000000000000000−2i2i-220000
χ39222-2-2-2-2222i2i−2i−2i-2-22222-2-22-2-22i2i2i2i−2i−2i−2i−2i00−2i2i0000000000-2-222−2i−2i2i2i0000000000000000000000000000000000002-22i−2i00000000
χ40222-2-2-2-2222i2i−2i−2i-2-22222-2-22-2-22i2i2i2i−2i−2i−2i−2i00−2i2i0000000000-2-222−2i−2i2i2i000000000000000000000000000000000000-22−2i2i00000000
χ41222-2-2-2-222−2i−2i2i2i22-2-222-2-22-2-2−2i−2i−2i−2i2i2i2i2i00−2i2i000000000022-2-2−2i−2i2i2i00000000000000000000000000000000000000002i−2i-220000
χ42222-2-2-2-222−2i−2i2i2i22-2-222-2-22-2-2−2i−2i−2i−2i2i2i2i2i00−2i2i000000000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000−2i2i2-20000
χ43222-2-2-2-222−2i−2i2i2i-2-22222-2-22-2-2−2i−2i−2i−2i2i2i2i2i002i−2i0000000000-2-2222i2i−2i−2i0000000000000000000000000000000000002-2−2i2i00000000
χ44222-2-2-2-222−2i−2i2i2i-2-22222-2-22-2-2−2i−2i−2i−2i2i2i2i2i002i−2i0000000000-2-2222i2i−2i−2i000000000000000000000000000000000000-222i−2i00000000
χ452-2-222-2-22200002-22-2-2-2-2-22220000000000002-22-20000002-22-20000000022-2-222-2-200002-22-2000000002-22-22-22-2000000000000
χ462-2-222-2-22200002-22-2-2-2-2-22220000000000002-22-20000002-22-20000000022-2-222-2-20000-22-2200000000-22-22-22-22000000000000
χ472-2-222-2-22200002-22-2-2-2-2-2222000000000000-22-220000002-22-200000000-2-222-2-22200002-2-22000000002-22-2-22-22000000000000
χ482-2-222-2-22200002-22-2-2-2-2-2222000000000000-22-220000002-22-200000000-2-222-2-2220000-222-200000000-22-222-22-2000000000000
χ492-2-222-2-2220000-22-22-2-2-2-22220000000000002-2-22000000-22-220000000022-2-2-2-2222-22-200002-22-22-22-200000000000000000000
χ502-2-222-2-2220000-22-22-2-2-2-22220000000000002-2-22000000-22-220000000022-2-2-2-222-22-220000-22-22-22-2200000000000000000000
χ512-2-222-2-2220000-22-22-2-2-2-2222000000000000-222-2000000-22-2200000000-2-22222-2-22-2-2200002-22-2-22-2200000000000000000000
χ522-2-222-2-2220000-22-22-2-2-2-2222000000000000-222-2000000-22-2200000000-2-22222-2-2-222-20000-22-222-22-200000000000000000000
χ532-2-222-2-22-100002-22-21111-1-1-1−i3−i3i3i3−i3−i3i3i300002-22-200−i3−i3i3i3-11-11−i3i3−i3i3−i3−i3i3i3-1-111-1-11100002-22-2−i3i3i3−i3i3−i3−i3i3-11-11-11-11000000000000
χ542-2-222-2-22-100002-22-21111-1-1-1−i3−i3i3i3−i3−i3i3i300002-22-200−i3−i3i3i3-11-11−i3i3−i3i3−i3−i3i3i3-1-111-1-1110000-22-22i3−i3−i3i3−i3i3i3−i31-11-11-11-1000000000000
χ552-2-222-2-22-100002-22-21111-1-1-1−i3−i3i3i3−i3−i3i3i30000-22-2200i3i3−i3−i3-11-11−i3i3−i3i3i3i3−i3−i311-1-111-1-100002-2-22−i3i3i3−i3−i3i3i3−i3-11-111-11-1000000000000
χ562-2-222-2-22-100002-22-21111-1-1-1−i3−i3i3i3−i3−i3i3i30000-22-2200i3i3−i3−i3-11-11−i3i3−i3i3i3i3−i3−i311-1-111-1-10000-222-2i3−i3−i3i3i3−i3−i3i31-11-1-11-11000000000000
χ572-2-222-2-22-100002-22-21111-1-1-1i3i3−i3−i3i3i3−i3−i300002-22-200i3i3−i3−i3-11-11i3−i3i3−i3i3i3−i3−i3-1-111-1-11100002-22-2i3−i3−i3i3−i3i3i3−i3-11-11-11-11000000000000
χ582-2-222-2-22-100002-22-21111-1-1-1i3i3−i3−i3i3i3−i3−i300002-22-200i3i3−i3−i3-11-11i3−i3i3−i3i3i3−i3−i3-1-111-1-1110000-22-22−i3i3i3−i3i3−i3−i3i31-11-11-11-1000000000000
χ592-2-222-2-22-100002-22-21111-1-1-1i3i3−i3−i3i3i3−i3−i30000-22-2200−i3−i3i3i3-11-11i3−i3i3−i3−i3−i3i3i311-1-111-1-100002-2-22i3−i3−i3i3i3−i3−i3i3-11-111-11-1000000000000
χ602-2-222-2-22-100002-22-21111-1-1-1i3i3−i3−i3i3i3−i3−i30000-22-2200−i3−i3i3i3-11-11i3−i3i3−i3−i3−i3i3i311-1-111-1-10000-222-2−i3i3i3−i3−i3i3i3−i31-11-1-11-11000000000000
χ612-2-222-2-22-10000-22-221111-1-1-1−i3−i3i3i3−i3−i3i3i300002-2-2200i3i3−i3−i31-11-1i3−i3i3−i3−i3−i3i3i3-1-11111-1-12-22-20000-11-11-11-11−i3i3i3−i3i3−i3−i3i3000000000000
χ622-2-222-2-22-10000-22-221111-1-1-1−i3−i3i3i3−i3−i3i3i300002-2-2200i3i3−i3−i31-11-1i3−i3i3−i3−i3−i3i3i3-1-11111-1-1-22-2200001-11-11-11-1i3−i3−i3i3−i3i3i3−i3000000000000
χ632-2-222-2-22-10000-22-221111-1-1-1−i3−i3i3i3−i3−i3i3i30000-222-200−i3−i3i3i31-11-1i3−i3i3−i3i3i3−i3−i311-1-1-1-1112-2-220000-11-111-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ642-2-222-2-22-10000-22-221111-1-1-1−i3−i3i3i3−i3−i3i3i30000-222-200−i3−i3i3i31-11-1i3−i3i3−i3i3i3−i3−i311-1-1-1-111-222-200001-11-1-11-11i3−i3−i3i3i3−i3−i3i3000000000000
χ652-2-222-2-22-10000-22-221111-1-1-1i3i3−i3−i3i3i3−i3−i300002-2-2200−i3−i3i3i31-11-1−i3i3−i3i3i3i3−i3−i3-1-11111-1-12-22-20000-11-11-11-11i3−i3−i3i3−i3i3i3−i3000000000000
χ662-2-222-2-22-10000-22-221111-1-1-1i3i3−i3−i3i3i3−i3−i300002-2-2200−i3−i3i3i31-11-1−i3i3−i3i3i3i3−i3−i3-1-11111-1-1-22-2200001-11-11-11-1−i3i3i3−i3i3−i3−i3i3000000000000
χ672-2-222-2-22-10000-22-221111-1-1-1i3i3−i3−i3i3i3−i3−i30000-222-200i3i3−i3−i31-11-1−i3i3−i3i3−i3−i3i3i311-1-1-1-1112-2-220000-11-111-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ682-2-222-2-22-10000-22-221111-1-1-1i3i3−i3−i3i3i3−i3−i30000-222-200i3i3−i3−i31-11-1−i3i3−i3i3−i3−i3i3i311-1-1-1-111-222-200001-11-1-11-11−i3i3i3−i3−i3i3i3−i3000000000000
χ69444-4-4-4-44-24i4i−4i−4i44-4-4-2-222-222−2i−2i−2i−2i2i2i2i2i004i−4i0000000000-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000
χ70444-4-4-4-44-24i4i−4i−4i-4-444-2-222-222−2i−2i−2i−2i2i2i2i2i00−4i4i000000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000
χ71444-4-4-4-44-2−4i−4i4i4i44-4-4-2-222-2222i2i2i2i−2i−2i−2i−2i00−4i4i0000000000-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000
χ72444-4-4-4-44-2−4i−4i4i4i-4-444-2-222-2222i2i2i2i−2i−2i−2i−2i004i−4i000000000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000
χ7344-44-44-4-44000000004-44-4-44-400000000000000004i−4i0000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ7444-44-44-4-44000000004-44-4-44-40000000000000000−4i4i000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
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χ8244-4-44-44-4-200000000-222-222-2−2i32i3−2i32i32i3−2i32i3−2i3-44000000002-22-200000000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ8344-4-44-44-4-200000000-222-222-22i3−2i32i3−2i3−2i32i3−2i32i34-400000000-22-2200000000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ8444-4-44-44-4-200000000-222-222-22i3−2i32i3−2i3−2i32i3−2i32i3-44000000002-22-20000000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ854-444-4-44-444i−4i4i−4i0000-44-44-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ864-444-4-44-44−4i4i−4i4i0000-44-44-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ874-444-4-44-4-24i−4i4i−4i00002-22-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000000023−23−2323−2i32i32i3−2i30000000000000000000000000000000000000000
χ884-444-4-44-4-24i−4i4i−4i00002-22-22-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000−232323−232i3−2i3−2i32i30000000000000000000000000000000000000000
χ894-444-4-44-4-2−4i4i−4i4i00002-22-22-222i−2i−2i2i2i−2i−2i2i000000000000000000000023−23−23232i3−2i3−2i32i30000000000000000000000000000000000000000
χ904-444-4-44-4-2−4i4i−4i4i00002-22-22-222i−2i−2i2i2i−2i−2i2i0000000000000000000000−232323−23−2i32i32i3−2i30000000000000000000000000000000000000000
χ914-44-444-4-444-4-440000-444-4-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-444-4-44-444-40000-444-4-4-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-444-4-4-24-4-4400002-2-2222-2-222-22-2-220000000000−2i32i32i3−2i30000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ944-44-444-4-4-24-4-4400002-2-2222-2-222-22-2-2200000000002i3−2i3−2i32i300000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ954-44-444-4-4-2-444-400002-2-2222-22-2-22-222-20000000000−2i32i32i3−2i300000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ964-44-444-4-4-2-444-400002-2-2222-22-2-22-222-200000000002i3−2i3−2i32i30000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ974-4-4-4-4444400004-4-44-4-4444-4-400000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ984-4-4-4-444440000-444-4-4-4444-4-40000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-200004-4-4422-2-2-2222323−23−23−23−23232300000000000000-222-223−23−2323000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-200004-4-4422-2-2-222−23−2323232323−23−2300000000000000-222-2−232323−23000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-20000-444-422-2-2-2222323−23−23−23−232323000000000000002-2-22−232323−23000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-20000-444-422-2-2-222−23−2323232323−23−23000000000000002-2-2223−23−2323000000000000000000000000000000000000000000000000

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