Finite Group Databasebeta

← Group #10695095

Character table — Group #10695095

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12224444223444444444466612121212668888888812121212121212121212242424242424242424242424242424244444444488888888888824242424242424244444
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
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-11-11
χ111111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i-11-11
χ121111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-11-1
χ131111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii1-1-11
χ141111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-111-1
χ151111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-111-1
χ161111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i1-1-11
χ172222222222222-2-2-2-2-2-2-2-22222222220000000022-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222220000000022-2-2-2-2-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ202222222222-12222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ212222222222-12222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ222222222222-12222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ2322222222-2-22-2-222-2-2-2-2222222222-2-200000000-2-22222-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ2422222222-2-22-2-222-2-2-2-2222222222-2-200000000-2-22222-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ2522222222-2-22-2-2-2-22222-2-22222222-2-222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-22-2-2-2-22222-2-22222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-11122-2-222-2-2111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2822222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-11122-2-222-2-2111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2922222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-111-2-222-2-222111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ3022222222-2-2-1-2-2-2-22222-2-2-1-1-1-1-1-1-111-2-222-2-222111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ312222-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-22200000000-2-222-2-222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ322222-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-22200000000-2-222-2-222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ332222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ342222-2-2-2-2222-2-2-2-2-2-22222222-2-2-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ352222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-122-2-2-2-2221111-1-111-1-1-1-1-1-111111111-1-1-1-1000000000000000000003−3−333−3−330000
χ362222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-122-2-2-2-2221111-1-111-1-1-1-1-1-111111111-1-1-1-100000000000000000000−333−3−333−30000
χ372222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1-2-22222-2-21111-1-111-1-11111-1-1-1-1-1-1-1-11111000000000000000000003−3−33−333−30000
χ382222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1-2-22222-2-21111-1-111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−333−33−3−330000
χ392222-2-2-2-2-2-2222-2-222-2-222222-2-2-2-2-2-20000000022-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402222-2-2-2-2-2-2222-2-222-2-222222-2-2-2-2-2-20000000022-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412222-2-2-2-2-2-2-12222-2-222-2-2-1-1-11111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ422222-2-2-2-2-2-2-12222-2-222-2-2-1-1-11111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ432222-2-2-2-2-2-2-12222-2-222-2-2-1-1-1111111-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ442222-2-2-2-2-2-2-12222-2-222-2-2-1-1-1111111-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ452-22-22i2i−2i−2i00200002i−2i2-2002-2-22i2i−2i−2i00002i−2i002-20000002i−2i2-200002i2i−2i−2i000022-2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ462-22-22i2i−2i−2i00200002i−2i2-2002-2-22i2i−2i−2i00002i−2i002-20000002i−2i2-200002i2i−2i−2i000022-2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ472-22-22i2i−2i−2i00200002i−2i2-2002-2-22i2i−2i−2i0000−2i2i00-220000002i−2i2-20000−2i−2i2i2i0000-2-2221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ482-22-22i2i−2i−2i00200002i−2i2-2002-2-22i2i−2i−2i0000−2i2i00-220000002i−2i2-20000−2i−2i2i2i0000-2-222−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ492-22-22i2i−2i−2i0020000−2i2i-22002-2-22i2i−2i−2i002i−2i002-200000000−2i2i-222i2i−2i−2i000022-2-200001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ502-22-22i2i−2i−2i0020000−2i2i-22002-2-22i2i−2i−2i002i−2i002-200000000−2i2i-222i2i−2i−2i000022-2-20000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ512-22-22i2i−2i−2i0020000−2i2i-22002-2-22i2i−2i−2i00−2i2i00-2200000000−2i2i-22−2i−2i2i2i0000-2-22200001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000
χ522-22-22i2i−2i−2i0020000−2i2i-22002-2-22i2i−2i−2i00−2i2i00-2200000000−2i2i-22−2i−2i2i2i0000-2-2220000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000
χ532-22-2−2i−2i2i2i00200002i−2i-22002-2-2−2i−2i2i2i002i−2i00-22000000002i−2i-222i2i−2i−2i0000-2-22200001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ542-22-2−2i−2i2i2i00200002i−2i-22002-2-2−2i−2i2i2i002i−2i00-22000000002i−2i-222i2i−2i−2i0000-2-2220000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ552-22-2−2i−2i2i2i00200002i−2i-22002-2-2−2i−2i2i2i00−2i2i002-2000000002i−2i-22−2i−2i2i2i000022-2-200001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000
χ562-22-2−2i−2i2i2i00200002i−2i-22002-2-2−2i−2i2i2i00−2i2i002-2000000002i−2i-22−2i−2i2i2i000022-2-20000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000
χ572-22-2−2i−2i2i2i0020000−2i2i2-2002-2-2−2i−2i2i2i00002i−2i00-22000000−2i2i2-200002i2i−2i−2i0000-2-2221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ582-22-2−2i−2i2i2i0020000−2i2i2-2002-2-2−2i−2i2i2i00002i−2i00-22000000−2i2i2-200002i2i−2i−2i0000-2-222−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ592-22-2−2i−2i2i2i0020000−2i2i2-2002-2-2−2i−2i2i2i0000−2i2i002-2000000−2i2i2-20000−2i−2i2i2i000022-2-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ602-22-2−2i−2i2i2i0020000−2i2i2-2002-2-2−2i−2i2i2i0000−2i2i002-2000000−2i2i2-20000−2i−2i2i2i000022-2-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ614444444444-244-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-200000000-2-222222222000000000000000000000000000000000000000000000000
χ6244444444-4-4-2-4-444-4-4-4-444-2-2-2-2-2-2-2220000000022-2-2-2-22222000000000000000000000000000000000000000000000000
χ634444-4-4-4-444-2-4-44444-4-4-4-4-2-2-22222-2-20000000022-2-222-2-222000000000000000000000000000000000000000000000000
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χ824-44-4−4i−4i4i4i00-200004i−4i-4400-2222i2i−2i−2i00−4i4i004-400000000−2i2i2-22i2i−2i−2i0000-2-222000000000000000000000000000000000000
χ834-44-4−4i−4i4i4i00-20000−4i4i4-400-2222i2i−2i−2i00004i−4i00-440000002i−2i-220000−2i−2i2i2i000022-2-200000000000000000000000000000000
χ844-44-4−4i−4i4i4i00-20000−4i4i4-400-2222i2i−2i−2i0000−4i4i004-40000002i−2i-2200002i2i−2i−2i0000-2-22200000000000000000000000000000000
χ854-4-444i−4i−4i4i004004-400004i−4i-4-444i−4i−4i4i0000000000004-44i−4i0000000000000000000000000000000000000000000000000000
χ864-4-444i−4i−4i4i00400-440000−4i4i-4-444i−4i−4i4i000000000000-44−4i4i0000000000000000000000000000000000000000000000000000
χ874-4-444i−4i−4i4i00-2004-400004i−4i22-2−2i2i2i−2i000000000000-22−2i2i0000i6−i6−i6i6−i6i6i6−i66−6−66−666−600000000000000000000000000000000
χ884-4-444i−4i−4i4i00-2004-400004i−4i22-2−2i2i2i−2i000000000000-22−2i2i0000−i6i6i6−i6i6−i6−i6i6−666−66−6−6600000000000000000000000000000000
χ894-4-444i−4i−4i4i00-200-440000−4i4i22-2−2i2i2i−2i0000000000002-22i−2i0000i6−i6−i6i6i6−i6−i6i66−6−666−6−6600000000000000000000000000000000
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χ924-4-44−4i4i4i−4i00400-4400004i−4i-4-44−4i4i4i−4i000000000000-444i−4i0000000000000000000000000000000000000000000000000000
χ934-4-44−4i4i4i−4i00-2004-40000−4i4i22-22i−2i−2i2i000000000000-222i−2i0000i6−i6−i6i6−i6i6i6−i6−666−66−6−6600000000000000000000000000000000
χ944-4-44−4i4i4i−4i00-2004-40000−4i4i22-22i−2i−2i2i000000000000-222i−2i0000−i6i6i6−i6i6−i6−i6i66−6−66−666−600000000000000000000000000000000
χ954-4-44−4i4i4i−4i00-200-4400004i−4i22-22i−2i−2i2i0000000000002-2−2i2i0000i6−i6−i6i6i6−i6−i6i6−666−6−666−600000000000000000000000000000000
χ964-4-44−4i4i4i−4i00-200-4400004i−4i22-22i−2i−2i2i0000000000002-2−2i2i0000−i6i6i6−i6−i6i6i6−i66−6−666−6−6600000000000000000000000000000000

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