Finite Group Databasebeta

← Group #10876196

Character table — Group #10876196

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444666688888888888888888888888888888812121212121216161616242424242424242424242424
order122222223444444446666666221212121212121212444422444444666666888812121212242424242424242444444412121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ10111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ11111111111-1-1-1-111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ13111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ14111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-11111-1-1
χ15111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-111-1-111-1-111-1-1
χ16111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ172222222222222-2-2-2-22222222-2-2-2-22222-2-2222200000000-2-200000000000000000000-2-222-2-20000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-200000000-2-20000000000000000000022-2-2220000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000002200000000000000000000-2-2-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000000000002222-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022-2-222-2-2-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000001111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-222-2-222-1-11111-2-2-2-2111111111111000000-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1111122221111-1-1-1-1-1-1-1-10000001111000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-100002222-2-2-2-211-1-1-1-122-2-21111-1-1-1-11111000000-1-111000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-1000022-2-2-2-22211-1-1-1-1-2-22211111111-1-1-1-100000011-1-1000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-22222-2-2111111-2-222-1-1-1-11111-1-1-1-1000000-1-111000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-2-2-2222211111122-2-2-1-1-1-1-1-1-1-1111100000011-1-1000000000000
χ292222-2-2-2-2200002-22-22-2-2-22-22002-200002-22i2i−2i−2i00002-200000000000022-2-2000000002i−2i00000000002i−2i00000000
χ302222-2-2-2-2200002-22-22-2-2-22-22002-200002-22i2i−2i−2i0000-22000000000000-2-222000000002i−2i0000000000−2i2i00000000
χ312222-2-2-2-2200002-22-22-2-2-22-22002-200002-2−2i−2i2i2i00002-200000000000022-2-200000000−2i2i0000000000−2i2i00000000
χ322222-2-2-2-2200002-22-22-2-2-22-22002-200002-2−2i−2i2i2i0000-22000000000000-2-22200000000−2i2i00000000002i−2i00000000
χ332222-2-2-2-220000-22-222-2-2-22-2200-220000-222i2i−2i−2i2-20000000022-2-20000000000000000−2i2i0000000000002i−2i000000
χ342222-2-2-2-220000-22-222-2-2-22-2200-220000-222i2i−2i−2i-2200000000-2-2220000000000000000−2i2i000000000000−2i2i000000
χ352222-2-2-2-220000-22-222-2-2-22-2200-220000-22−2i−2i2i2i2-20000000022-2-200000000000000002i−2i000000000000−2i2i000000
χ362222-2-2-2-220000-22-222-2-2-22-2200-220000-22−2i−2i2i2i-2200000000-2-22200000000000000002i−2i0000000000002i−2i000000
χ3722-2-22-2-2222i2i−2i−2i0000-222-22-2-200002i2i−2i−2i002-22-2000000000000002−2−i2i2000022−2−2−i2−i2i2i2002i−2i000000000000002−2−i2i2
χ3822-2-22-2-2222i2i−2i−2i0000-222-22-2-200002i2i−2i−2i002-22-200000000000000−22i2−i20000−2−222i2i2−i2−i2002i−2i00000000000000−22i2−i2
χ3922-2-22-2-2222i2i−2i−2i0000-222-22-2-200002i2i−2i−2i00-22-22000000000000002−2−i2i2000022−2−2−i2−i2i2i200−2i2i00000000000000−22i2−i2
χ4022-2-22-2-2222i2i−2i−2i0000-222-22-2-200002i2i−2i−2i00-22-2200000000000000−22i2−i20000−2−222i2i2−i2−i200−2i2i000000000000002−2−i2i2
χ4122-2-22-2-222−2i−2i2i2i0000-222-22-2-20000−2i−2i2i2i002-22-2000000000000002−2i2−i2000022−2−2i2i2−i2−i200−2i2i000000000000002−2i2−i2
χ4222-2-22-2-222−2i−2i2i2i0000-222-22-2-20000−2i−2i2i2i002-22-200000000000000−22−i2i20000−2−222−i2−i2i2i200−2i2i00000000000000−22−i2i2
χ4322-2-22-2-222−2i−2i2i2i0000-222-22-2-20000−2i−2i2i2i00-22-22000000000000002−2i2−i2000022−2−2i2i2−i2−i2002i−2i00000000000000−22−i2i2
χ4422-2-22-2-222−2i−2i2i2i0000-222-22-2-20000−2i−2i2i2i00-22-2200000000000000−22−i2i20000−2−222−i2−i2i2i2002i−2i000000000000002−2i2−i2
χ452-22-222-2-222-22-222-2-2-22-22-2-222-2-2-22-22-2220000000000002-20000000000000000000000000000002i−2i00002i−2i0000
χ462-22-222-2-222-22-222-2-2-22-22-2-222-2-2-22-22-2220000000000002-2000000000000000000000000000000−2i2i0000−2i2i0000
χ472-22-222-2-222-22-2-2-222-22-22-2-22-22222-22-2-2-20000002i−2i002i−2i-22000000000000000000000000002i−2i2i−2i000000000000
χ482-22-222-2-222-22-2-2-222-22-22-2-22-22222-22-2-2-2000000−2i2i00−2i2i-2200000000000000000000000000−2i2i−2i2i000000000000
χ492-22-222-2-22-22-2222-2-2-22-22-2-22-22-2-2-22-2222000000000000-220000000000000000000000000000002i−2i0000−2i2i0000
χ502-22-222-2-22-22-2222-2-2-22-22-2-22-22-2-2-22-2222000000000000-22000000000000000000000000000000−2i2i00002i−2i0000
χ512-22-222-2-22-22-22-2-222-22-22-2-222-222-22-22-2-20000002i−2i00−2i2i2-2000000000000000000000000002i−2i−2i2i000000000000
χ522-22-222-2-22-22-22-2-222-22-22-2-222-222-22-22-2-2000000−2i2i002i−2i2-200000000000000000000000000−2i2i2i−2i000000000000
χ532-22-222-2-2-12-22-2-2-2221-11-111-1-22-1-1-11-11110000002i−2i002i−2i1-1−i3i3−i3i30000−i3i3−i3i33−33−33−33−3000000−ii−ii000000000000
χ542-22-222-2-2-12-22-2-2-2221-11-111-1-22-1-1-11-11110000002i−2i002i−2i1-1i3−i3i3−i30000i3−i3i3−i3−33−33−33−33000000−ii−ii000000000000
χ552-22-222-2-2-12-22-2-2-2221-11-111-1-22-1-1-11-1111000000−2i2i00−2i2i1-1−i3i3−i3i30000−i3i3−i3i3−33−33−33−33000000i−ii−i000000000000
χ562-22-222-2-2-12-22-2-2-2221-11-111-1-22-1-1-11-1111000000−2i2i00−2i2i1-1i3−i3i3−i30000i3−i3i3−i33−33−33−33−3000000i−ii−i000000000000
χ572-22-222-2-2-1-22-22-2-2221-11-111-12-2-1-11-11-1110000002i−2i00−2i2i-11−i3i3−i3i30000i3−i3i3−i33−33−3−33−33000000−iii−i000000000000
χ582-22-222-2-2-1-22-22-2-2221-11-111-12-2-1-11-11-1110000002i−2i00−2i2i-11i3−i3i3−i30000−i3i3−i3i3−33−333−33−3000000−iii−i000000000000
χ592-22-222-2-2-1-22-22-2-2221-11-111-12-2-1-11-11-111000000−2i2i002i−2i-11−i3i3−i3i30000i3−i3i3−i3−33−333−33−3000000i−i−ii000000000000
χ602-22-222-2-2-1-22-22-2-2221-11-111-12-2-1-11-11-111000000−2i2i002i−2i-11i3−i3i3−i30000−i3i3−i3i33−33−3−33−33000000i−i−ii000000000000
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-422-2-2-2-22200000000000022000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000000000
χ634444-4-4-4-4-200004-44-4-2222-22-200-220000-22000000004-4000000000000-2-222000000000000000000000000000000
χ644444-4-4-4-4-200004-44-4-2222-22-200-220000-2200000000-4400000000000022-2-2000000000000000000000000000000
χ654444-4-4-4-4-20000-44-44-2222-22-2002-200002-200004-400000000-2-22200000000000000000000000000000000000000
χ664444-4-4-4-4-20000-44-44-2222-22-2002-200002-20000-440000000022-2-200000000000000000000000000000000000000
χ6744-4-44-4-44-24i4i−4i−4i00002-2-22-2220000−2i−2i2i2i0000000000000000000022−22−2i22i20000−2−222i2i2−i2−i20000000000000000000000
χ6844-4-44-4-44-24i4i−4i−4i00002-2-22-2220000−2i−2i2i2i00000000000000000000−22222i2−2i2000022−2−2−i2−i2i2i20000000000000000000000
χ6944-4-44-4-44-2−4i−4i4i4i00002-2-22-22200002i2i−2i−2i0000000000000000000022−222i2−2i20000−2−222−i2−i2i2i20000000000000000000000
χ7044-4-44-4-44-2−4i−4i4i4i00002-2-22-22200002i2i−2i−2i00000000000000000000−2222−2i22i2000022−2−2i2i2−i2−i20000000000000000000000
χ7144-4-4-444-4400000000-4-4-4444-400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ7244-4-4-444-4400000000-4-4-4444-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ734-44-444-4-4-24-44-444-4-42-22-222-24-422-22-22-2-2000000000000-22000000000000000000000000000000000000000000
χ744-44-444-4-4-2-44-4444-4-42-22-222-2-44222-22-2-2-20000000000002-2000000000000000000000000000000000000000000
χ754-44-4-4-444400004-4-44-4-44-4-44400-4400004-400000000000000000000000000000000000000000000000000000000
χ764-44-4-4-44440000-444-4-4-44-4-444004-40000-4400000000000000000000000000000000000000000000000000000000
χ774-44-4-4-444-200004-4-4422-222-2-2002-20000-2200000000000000−2i32i32i3−2i300000000000000000000000000000000000000
χ784-44-4-4-444-200004-4-4422-222-2-2002-20000-22000000000000002i3−2i3−2i32i300000000000000000000000000000000000000
χ794-44-4-4-444-20000-444-422-222-2-200-2200002-20000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ804-44-4-4-444-20000-444-422-222-2-200-2200002-200000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ814-4-444-44-444i−4i−4i4i000044-4-4-44-400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ824-4-444-44-44−4i4i4i−4i000044-4-4-44-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ834-4-444-44-4-24i−4i−4i4i0000-2-2222-220000−2i2i2i−2i00000000000000000000000000006−6−66−i6i6i6−i60000000000000000000000
χ844-4-444-44-4-24i−4i−4i4i0000-2-2222-220000−2i2i2i−2i0000000000000000000000000000−666−6i6−i6−i6i60000000000000000000000
χ854-4-444-44-4-2−4i4i4i−4i0000-2-2222-2200002i−2i−2i2i00000000000000000000000000006−6−66i6−i6−i6i60000000000000000000000
χ864-4-444-44-4-2−4i4i4i−4i0000-2-2222-2200002i−2i−2i2i0000000000000000000000000000−666−6−i6i6i6−i60000000000000000000000
χ874-4-44-44-444000000004-444-4-4-40000000000000000000000000000000000000000000000004i−4i0000000000000000
χ884-4-44-44-444000000004-444-4-4-4000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ8988-8-8-888-8-400000000444-4-4-44000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-88-400000000-44-4-4444000000000000000000000000000000000000000000000000000000000000000000

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