Finite Group Databasebeta

← Group #10900964

Character table — Group #10900964

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212122244444444666612121212121212121212121212121212121212124444444412121212121212121212121212121212888888882444
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1
χ172222222222222-2-2-2-2222222222222222-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-222-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-222-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-222-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-222-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3722-2-222-2-222i2i−2i−2i000022-2-2-22-22i2i2i2i−2i−2i−2i−2i002-200002i−2i0000000022-2-200002i2i−2i−2i00000000000000000000000000002−2−i2i22−2−i2i20000
χ3822-2-222-2-222i2i−2i−2i000022-2-2-22-22i2i2i2i−2i−2i−2i−2i002-200002i−2i0000000022-2-200002i2i−2i−2i0000000000000000000000000000−22i2−i2−22i2−i20000
χ3922-2-222-2-222i2i−2i−2i000022-2-2-22-22i2i2i2i−2i−2i−2i−2i00-220000−2i2i00000000-2-2220000−2i−2i2i2i00000000000000000000000000002−2−i2i2−22i2−i20000
χ4022-2-222-2-222i2i−2i−2i000022-2-2-22-22i2i2i2i−2i−2i−2i−2i00-220000−2i2i00000000-2-2220000−2i−2i2i2i0000000000000000000000000000−22i2−i22−2−i2i20000
χ4122-2-222-2-22−2i−2i2i2i000022-2-2-22-2−2i−2i−2i−2i2i2i2i2i002-20000−2i2i0000000022-2-20000−2i−2i2i2i00000000000000000000000000002−2i2−i22−2i2−i20000
χ4222-2-222-2-22−2i−2i2i2i000022-2-2-22-2−2i−2i−2i−2i2i2i2i2i002-20000−2i2i0000000022-2-20000−2i−2i2i2i0000000000000000000000000000−22−i2i2−22−i2i20000
χ4322-2-222-2-22−2i−2i2i2i000022-2-2-22-2−2i−2i−2i−2i2i2i2i2i00-2200002i−2i00000000-2-22200002i2i−2i−2i00000000000000000000000000002−2i2−i2−22−i2i20000
χ4422-2-222-2-22−2i−2i2i2i000022-2-2-22-2−2i−2i−2i−2i2i2i2i2i00-2200002i−2i00000000-2-22200002i2i−2i−2i0000000000000000000000000000−22−i2i22−2i2−i20000
χ452-2-222-2-2222-22-222-2-2-2-2-2-222222-2-222-2-22-20000000022-2-222-2-20000000000000000002-2002-2000000002-22-22-22-2000000000000
χ462-2-222-2-2222-22-222-2-2-2-2-2-222222-2-222-2-22-20000000022-2-222-2-2000000000000000000-2200-2200000000-22-22-22-22000000000000
χ472-2-222-2-2222-22-2-2-222-2-2-2-222222-2-222-2-2-2200000000-2-222-2-22200000000000000002-2002-2002-22-22-22-200000000000000000000
χ482-2-222-2-2222-22-2-2-222-2-2-2-222222-2-222-2-2-2200000000-2-222-2-2220000000000000000-2200-2200-22-22-22-2200000000000000000000
χ492-2-222-2-222-22-2222-2-2-2-2-2-2222-2-222-2-222-2200000000-2-22222-2-20000000000000000002-200-22000000002-22-2-22-22000000000000
χ502-2-222-2-222-22-2222-2-2-2-2-2-2222-2-222-2-222-2200000000-2-22222-2-2000000000000000000-22002-200000000-22-222-22-2000000000000
χ512-2-222-2-222-22-22-2-222-2-2-2-2222-2-222-2-2222-20000000022-2-2-2-22200000000000000002-200-22002-22-2-22-2200000000000000000000
χ522-2-222-2-222-22-22-2-222-2-2-2-2222-2-222-2-2222-20000000022-2-2-2-2220000000000000000-22002-200-22-222-22-200000000000000000000
χ532-2-222-2-22-12-22-222-2-21111-1-1-1-1-111-1-1112-200000000-1-111-1-111−i3i3−i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3002-2002-2−i3i3i3−i3−i3i3i3−i3-11-11-11-11000000000000
χ542-2-222-2-22-12-22-222-2-21111-1-1-1-1-111-1-1112-200000000-1-111-1-111−i3i3−i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i300-2200-22i3−i3−i3i3i3−i3−i3i31-11-11-11-1000000000000
χ552-2-222-2-22-12-22-222-2-21111-1-1-1-1-111-1-1112-200000000-1-111-1-111i3−i3i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3002-2002-2i3−i3−i3i3i3−i3−i3i3-11-11-11-11000000000000
χ562-2-222-2-22-12-22-222-2-21111-1-1-1-1-111-1-1112-200000000-1-111-1-111i3−i3i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3−i300-2200-22−i3i3i3−i3−i3i3i3−i31-11-11-11-1000000000000
χ572-2-222-2-22-12-22-2-2-2221111-1-1-1-1-111-1-111-220000000011-1-111-1-1−i3i3−i3i3i3i3−i3−i3−i3i3−i3i3i3i3−i3−i32-2002-200-11-11-11-11−i3i3i3−i3−i3i3i3−i3000000000000
χ582-2-222-2-22-12-22-2-2-2221111-1-1-1-1-111-1-111-220000000011-1-111-1-1−i3i3−i3i3i3i3−i3−i3−i3i3−i3i3i3i3−i3−i3-2200-22001-11-11-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ592-2-222-2-22-12-22-2-2-2221111-1-1-1-1-111-1-111-220000000011-1-111-1-1i3−i3i3−i3−i3−i3i3i3i3−i3i3−i3−i3−i3i3i32-2002-200-11-11-11-11i3−i3−i3i3i3−i3−i3i3000000000000
χ602-2-222-2-22-12-22-2-2-2221111-1-1-1-1-111-1-111-220000000011-1-111-1-1i3−i3i3−i3−i3−i3i3i3i3−i3i3−i3−i3−i3i3i3-2200-22001-11-11-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ612-2-222-2-22-1-22-2222-2-21111-1-1-111-1-111-1-1-220000000011-1-1-1-111−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i3002-200-22−i3i3i3−i3i3−i3−i3i3-11-111-11-1000000000000
χ622-2-222-2-22-1-22-2222-2-21111-1-1-111-1-111-1-1-220000000011-1-1-1-111−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i300-22002-2i3−i3−i3i3−i3i3i3−i31-11-1-11-11000000000000
χ632-2-222-2-22-1-22-2222-2-21111-1-1-111-1-111-1-1-220000000011-1-1-1-111i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i3002-200-22i3−i3−i3i3−i3i3i3−i3-11-111-11-1000000000000
χ642-2-222-2-22-1-22-2222-2-21111-1-1-111-1-111-1-1-220000000011-1-1-1-111i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i300-22002-2−i3i3i3−i3i3−i3−i3i31-11-1-11-11000000000000
χ652-2-222-2-22-1-22-22-2-2221111-1-1-111-1-111-1-12-200000000-1-11111-1-1−i3i3−i3i3i3i3−i3−i3i3−i3i3−i3−i3−i3i3i32-200-2200-11-111-11-1−i3i3i3−i3i3−i3−i3i3000000000000
χ662-2-222-2-22-1-22-22-2-2221111-1-1-111-1-111-1-12-200000000-1-11111-1-1−i3i3−i3i3i3i3−i3−i3i3−i3i3−i3−i3−i3i3i3-22002-2001-11-1-11-11i3−i3−i3i3−i3i3i3−i3000000000000
χ672-2-222-2-22-1-22-22-2-2221111-1-1-111-1-111-1-12-200000000-1-11111-1-1i3−i3i3−i3−i3−i3i3i3−i3i3−i3i3i3i3−i3−i32-200-2200-11-111-11-1i3−i3−i3i3−i3i3i3−i3000000000000
χ682-2-222-2-22-1-22-22-2-2221111-1-1-111-1-111-1-12-200000000-1-11111-1-1i3−i3i3−i3−i3−i3i3i3−i3i3−i3i3i3i3−i3−i3-22002-2001-11-1-11-11−i3i3i3−i3i3−i3−i3i3000000000000
χ69444-4-4-4-444000000004-44-4-4-440000000000004i−4i0000000000000000000000004i−4i4i−4i000000000000000000000000000000000000
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χ7544-44-4-44-4400004-44-44-4-444-4-400000000000000000000004-44-40000000000000000000000000000000000000000000000000000
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χ7844-44-4-44-4-200004-44-4-222-2-2222i3−2i32i3−2i3−2i32i3−2i32i300000000002i3−2i32i3−2i3-22-220000000000000000000000000000000000000000000000000000
χ7944-44-4-44-4-20000-44-44-222-2-222−2i32i3−2i32i32i3−2i32i3−2i300000000002i3−2i32i3−2i32-22-20000000000000000000000000000000000000000000000000000
χ8044-44-4-44-4-20000-44-44-222-2-2222i3−2i32i3−2i3−2i32i3−2i32i30000000000−2i32i3−2i32i32-22-20000000000000000000000000000000000000000000000000000
χ8144-4-444-4-4-24i4i−4i−4i0000-2-2222-22−2i−2i−2i−2i2i2i2i2i004-400004i−4i00000000-2-2220000−2i−2i2i2i0000000000000000000000000000000000000000
χ8244-4-444-4-4-24i4i−4i−4i0000-2-2222-22−2i−2i−2i−2i2i2i2i2i00-440000−4i4i0000000022-2-200002i2i−2i−2i0000000000000000000000000000000000000000
χ8344-4-444-4-4-2−4i−4i4i4i0000-2-2222-222i2i2i2i−2i−2i−2i−2i004-40000−4i4i00000000-2-22200002i2i−2i−2i0000000000000000000000000000000000000000
χ8444-4-444-4-4-2−4i−4i4i4i0000-2-2222-222i2i2i2i−2i−2i−2i−2i00-4400004i−4i0000000022-2-20000−2i−2i2i2i0000000000000000000000000000000000000000
χ854-444-44-4-4400004-4-44-444-44-4-400000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ864-444-44-4-440000-444-4-444-44-4-40000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ874-444-44-4-4-200004-4-442-2-22-222−2i32i32i3−2i32i3−2i3−2i32i30000000000−2i32i32i3−2i3-222-20000000000000000000000000000000000000000000000000000
χ884-444-44-4-4-200004-4-442-2-22-2222i3−2i3−2i32i3−2i32i32i3−2i300000000002i3−2i3−2i32i3-222-20000000000000000000000000000000000000000000000000000
χ894-444-44-4-4-20000-444-42-2-22-222−2i32i32i3−2i32i3−2i3−2i32i300000000002i3−2i3−2i32i32-2-220000000000000000000000000000000000000000000000000000
χ904-444-44-4-4-20000-444-42-2-22-2222i3−2i3−2i32i3−2i32i32i3−2i30000000000−2i32i32i3−2i32-2-220000000000000000000000000000000000000000000000000000
χ914-44-44-44-444i−4i−4i4i0000-4-444-44-44i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-44−4i4i4i−4i0000-4-444-44-4−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-44-4-24i−4i−4i4i000022-2-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000−2i32i32i3−2i3000023−23−23230000000000000000000000000000000000000000
χ944-44-44-44-4-24i−4i−4i4i000022-2-22-22−2i−2i2i2i2i2i−2i−2i0000000000000000002i3−2i3−2i32i30000−232323−230000000000000000000000000000000000000000
χ954-44-44-44-4-2−4i4i4i−4i000022-2-22-222i2i−2i−2i−2i−2i2i2i000000000000000000−2i32i32i3−2i30000−232323−230000000000000000000000000000000000000000
χ964-44-44-44-4-2−4i4i4i−4i000022-2-22-222i2i−2i−2i−2i−2i2i2i0000000000000000002i3−2i3−2i32i3000023−23−23230000000000000000000000000000000000000000
χ974-4-4-4-4444400000000-44-44-4-44000000000000004-4000000000000004-4-4400000000000000000000000000000000000000000000
χ984-4-4-4-4444400000000-44-44-4-4400000000000000-4400000000000000-444-400000000000000000000000000000000000000000000
χ994-4-4-4-4444-2000000002-22-222-223−23−232323−23−23230000004-400000000000000-222-2000023−23−2323000000000000000000000000000000000000
χ1004-4-4-4-4444-2000000002-22-222-223−23−232323−23−2323000000-44000000000000002-2-220000−232323−23000000000000000000000000000000000000
χ1014-4-4-4-4444-2000000002-22-222-2−232323−23−232323−230000004-400000000000000-222-20000−232323−23000000000000000000000000000000000000
χ1024-4-4-4-4444-2000000002-22-222-2−232323−23−232323−23000000-44000000000000002-2-22000023−23−2323000000000000000000000000000000000000

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