Finite Group Databasebeta

← Group #10944275

Character table — Group #10944275

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222222222223444444446666666666688888888121212121212121224242424242424242424242424242424222244448888888822446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ911111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11
χ1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111111-11-1
χ1311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ172222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-1110000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-10000
χ2322222222-2-2-2-22-2-2-22222-22222222-2-2-2-200000000-2-2-22222-2000000000000000022-2-2-2-222000000000000000000000000
χ2422222222-2-2-2-22-2-2-22222-22222222-2-2-2-200000000-2-2-22222-20000000000000000-2-22222-2-2000000000000000000000000
χ2522222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2622222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ2722222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ2822222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ29222-2-2-2-2222-2-2222-222-2-2-22-2-2-2-22222-2-20000000022-222-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ30222-2-2-2-2222-2-2222-222-2-2-22-2-2-2-22222-2-20000000022-222-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ31222-2-2-2-2222-2-22-2-22-2-22222-2-2-2-22222-2-222-2-222-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ32222-2-2-2-2222-2-22-2-22-2-22222-2-2-2-22222-2-2-2-222-2-222-2-22-2-2222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ33222-2-2-2-2222-2-2-1-2-22-2-2222-11111-1-1-1-11122-2-222-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ34222-2-2-2-2222-2-2-1-2-22-2-2222-11111-1-1-1-11122-2-222-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ35222-2-2-2-2222-2-2-1-2-22-2-2222-11111-1-1-1-111-2-222-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ36222-2-2-2-2222-2-2-1-2-22-2-2222-11111-1-1-1-111-2-222-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ37222-2-2-2-22-2-222222-2-2-222-22-2-2-2-222-2-2220000000022-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ38222-2-2-2-22-2-222222-2-2-222-22-2-2-2-222-2-2220000000022-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ39222-2-2-2-22-2-2222-2-2222-2-222-2-2-2-222-2-22222-2-2-2-222-2-2222-2-222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ40222-2-2-2-22-2-2222-2-2222-2-222-2-2-2-222-2-222-2-22222-2-2-2-2222-2-22-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ41222-2-2-2-22-2-222-1-2-2222-2-22-11111-1-111-1-122-2-2-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ42222-2-2-2-22-2-222-1-2-2222-2-22-11111-1-111-1-122-2-2-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ43222-2-2-2-22-2-222-1-2-2222-2-22-11111-1-111-1-1-2-22222-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ44222-2-2-2-22-2-222-1-2-2222-2-22-11111-1-111-1-1-2-22222-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ452-2-222-2-22000022-220000-2-222-2-22-2000000002i−2i2i−2i2-220000-2000000002i2i−2i−2i2i2i−2i−2i002-2002-22i−2i2i−2i00000000000000000000
χ462-2-222-2-22000022-220000-2-222-2-22-2000000002i−2i2i−2i2-220000-2000000002i2i−2i−2i2i2i−2i−2i00-2200-22−2i2i−2i2i00000000000000000000
χ472-2-222-2-22000022-220000-2-222-2-22-200000000−2i2i−2i2i2-220000-200000000−2i−2i2i2i−2i−2i2i2i002-2002-2−2i2i−2i2i00000000000000000000
χ482-2-222-2-22000022-220000-2-222-2-22-200000000−2i2i−2i2i2-220000-200000000−2i−2i2i2i−2i−2i2i2i00-2200-222i−2i2i−2i00000000000000000000
χ492-2-222-2-2200002-22-200002-222-2-22-200002-22-20000-22-20000222-2-222-2-200000000002-200-2200002-22-20000000000000000
χ502-2-222-2-2200002-22-200002-222-2-22-200002-22-20000-22-20000222-2-222-2-20000000000-22002-20000-22-220000000000000000
χ512-2-222-2-2200002-22-200002-222-2-22-20000-22-220000-22-200002-2-222-2-22200000000002-200-220000-22-220000000000000000
χ522-2-222-2-2200002-22-200002-222-2-22-20000-22-220000-22-200002-2-222-2-2220000000000-22002-200002-22-20000000000000000
χ532-2-2-2-2222000022-2-200002-2-2-2222-200002-2-2200002-2-20000222-2-2-2-222000000002-2002-2002-2-2200000000000000000000
χ542-2-2-2-2222000022-2-200002-2-2-2222-200002-2-2200002-2-20000222-2-2-2-22200000000-2200-2200-222-200000000000000000000
χ552-2-2-2-2222000022-2-200002-2-2-2222-20000-222-200002-2-200002-2-22222-2-2000000002-2002-200-222-200000000000000000000
χ562-2-2-2-2222000022-2-200002-2-2-2222-20000-222-200002-2-200002-2-22222-2-200000000-2200-22002-2-2200000000000000000000
χ572-2-2-2-222200002-2220000-2-2-2-2222-2000000002i−2i−2i2i-2220000-2000000002i2i−2i−2i−2i−2i2i2i2-200-220000002i−2i−2i2i0000000000000000
χ582-2-2-2-222200002-2220000-2-2-2-2222-2000000002i−2i−2i2i-2220000-2000000002i2i−2i−2i−2i−2i2i2i-22002-2000000−2i2i2i−2i0000000000000000
χ592-2-2-2-222200002-2220000-2-2-2-2222-200000000−2i2i2i−2i-2220000-200000000−2i−2i2i2i2i2i−2i−2i2-200-22000000−2i2i2i−2i0000000000000000
χ602-2-2-2-222200002-2220000-2-2-2-2222-200000000−2i2i2i−2i-2220000-200000000−2i−2i2i2i2i2i−2i−2i-22002-20000002i−2i−2i2i0000000000000000
χ61444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-20000000022222222000000000000000000000000000000000000000000000000
χ6244444444-4-4-4-4-2-4-4-44444-4-2-2-2-2-2-2-2222200000000222-2-2-2-22000000000000000000000000000000000000000000000000
χ63444-4-4-4-4444-4-4-244-444-4-4-4-22222-2-2-2-22200000000-2-22-2-2222000000000000000000000000000000000000000000000000
χ64444-4-4-4-44-4-444-244-4-4-444-4-22222-2-222-2-200000000-2-2222-2-22000000000000000000000000000000000000000000000000
χ6544-44-44-4-4000040004i−4i4i−4i044-44-4-4-40000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000
χ6644-44-44-4-400004000−4i4i−4i4i044-44-4-4-4000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000
χ6744-44-44-4-40000-20004i−4i4i−4i0-2-22-2222000000000000000−2i2i−2i2i0i6−i6i6−i6i6−i6i6−i66−66−66−66−600000000000000000000000000000000
χ6844-44-44-4-40000-20004i−4i4i−4i0-2-22-2222000000000000000−2i2i−2i2i0−i6i6−i6i6−i6i6−i6i6−66−66−66−6600000000000000000000000000000000
χ6944-44-44-4-40000-2000−4i4i−4i4i0-2-22-22220000000000000002i−2i2i−2i0i6−i6i6−i6i6−i6i6−i6−66−66−66−6600000000000000000000000000000000
χ7044-44-44-4-40000-2000−4i4i−4i4i0-2-22-22220000000000000002i−2i2i−2i0−i6i6−i6i6−i6i6−i6i66−66−66−66−600000000000000000000000000000000
χ7144-4-44-44-4000040004i−4i−4i4i04-44-44-4-40000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ7244-4-44-44-400004000−4i4i4i−4i04-44-44-4-4000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ7344-4-44-44-40000-20004i−4i−4i4i0-22-22-222000000000000000−2i2i2i−2i0i6−i6i6−i6−i6i6−i6i6−66−666−66−600000000000000000000000000000000
χ7444-4-44-44-40000-20004i−4i−4i4i0-22-22-222000000000000000−2i2i2i−2i0−i6i6−i6i6i6−i6i6−i66−66−6−66−6600000000000000000000000000000000
χ7544-4-44-44-40000-2000−4i4i4i−4i0-22-22-2220000000000000002i−2i−2i2i0i6−i6i6−i6−i6i6−i6i66−66−6−66−6600000000000000000000000000000000
χ7644-4-44-44-40000-2000−4i4i4i−4i0-22-22-2220000000000000002i−2i−2i2i0−i6i6−i6i6i6−i6i6−i6−66−666−66−600000000000000000000000000000000
χ774-444-4-44-44-44-4400000000-44-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ784-444-4-44-44-44-4-2000000002-222-22-2-22-220000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ794-444-4-44-44-44-4-2000000002-222-22-2-22-220000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ804-444-4-44-4-44-44400000000-44-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000
χ814-444-4-44-4-44-44-2000000002-222-22-22-22-20000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ824-444-4-44-4-44-44-2000000002-222-22-22-22-20000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ834-44-444-4-44-4-44400000000-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ844-44-444-4-44-4-44-20000000022-2-222-2-222-20000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ854-44-444-4-44-4-44-20000000022-2-222-2-222-20000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ864-44-444-4-4-444-4400000000-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000
χ874-44-444-4-4-444-4-20000000022-2-222-22-2-220000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ884-44-444-4-4-444-4-20000000022-2-222-22-2-220000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ894-4-444-4-440000-24-440000-42-2-222-22000000004i−4i4i−4i-22-20000200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ904-4-444-4-440000-24-440000-42-2-222-2200000000−4i4i−4i4i-22-200002000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ914-4-444-4-440000-2-44-4000042-2-222-2200004-44-400002-220000-2-2-222-2-2220000000000000000000000000000000000000000
χ924-4-444-4-440000-2-44-4000042-2-222-220000-44-4400002-220000-222-2-222-2-20000000000000000000000000000000000000000
χ934-4-4-4-44440000-24-4-400004222-2-2-2200004-4-440000-2220000-2-2-22222-2-20000000000000000000000000000000000000000
χ944-4-4-4-44440000-24-4-400004222-2-2-220000-444-40000-2220000-222-2-2-2-2220000000000000000000000000000000000000000
χ954-4-4-4-44440000-2-4440000-4222-2-2-22000000004i−4i−4i4i2-2-20000200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ964-4-4-4-44440000-2-4440000-4222-2-2-2200000000−4i4i4i−4i2-2-200002000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000

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