Finite Group Databasebeta

← Group #10694560

Character table — Group #10694560

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122222344444444666666688888888448888121212121212121212121212242424242424242424242424242424248888888888888888444412121212121212124444
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
χ51111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91111-1-11-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-11-1
χ101111-1-11-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-11-11
χ111111-1-11-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i-11-11
χ121111-1-11-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-11-1
χ131111-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii1-1-11
χ141111-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-111-1
χ151111-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-111-1
χ161111-1-11-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i1-1-11
χ1722222222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222222-2-2-2-22222222-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ192222222-2-2-2-222-2-22222222000000002-2000022-2-2-2-222-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ202222222-2-2-2-222-2-22222222000000002-2000022-2-2-2-222-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ212222222-2-2-2-2-2-222222222200000000-220000-2-222-2-2-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ222222222-2-2-2-2-2-222222222200000000-220000-2-222-2-2-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ23222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ24222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ25222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ26222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ27222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2221111-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ28222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2221111-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ29222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-222-2-21111-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ30222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-222-2-21111-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ312222-2-2222-2-222-2-2-2-2222-2-200000000-220000-2-2222222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ322222-2-2222-2-222-2-2-2-2222-2-200000000-220000-2-2222222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ332222-2-2222-2-2-2-222-2-2222-2-2000000002-2000022-2-222-2-222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ342222-2-2222-2-2-2-222-2-2222-2-2000000002-2000022-2-222-2-222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ352222-2-22-2-2222222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ362222-2-22-2-2222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ372222-2-2-1-2-222222211-1-1-11122222222-2-2-2-2-2-2111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000003−3−333−3−330000
χ382222-2-2-1-2-222222211-1-1-11122222222-2-2-2-2-2-2111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−333−3−333−30000
χ392222-2-2-1-2-222222211-1-1-111-2-2-2-2-2-2-2-2-2-22222111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000003−3−33−333−30000
χ402222-2-2-1-2-222222211-1-1-111-2-2-2-2-2-2-2-2-2-22222111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−333−33−3−330000
χ412222-2-2-1-2-222-2-2-2-211-1-1-1112222-2-2-2-22222-2-2-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ422222-2-2-1-2-222-2-2-2-211-1-1-1112222-2-2-2-22222-2-2-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ432222-2-2-1-2-222-2-2-2-211-1-1-111-2-2-2-2222222-2-222-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ442222-2-2-1-2-222-2-2-2-211-1-1-111-2-2-2-2222222-2-222-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ4522-2-22-222-22-20000222-2-2-2-2000022-2-2002-20000002-200002-2000022-2-2000022-2-22−22−22−22−22−22−22−22−20000000000000000
χ4622-2-22-222-22-20000222-2-2-2-2000022-2-2002-20000002-200002-2000022-2-2000022-2-2−22−22−22−22−22−22−22−220000000000000000
χ4722-2-22-222-22-20000222-2-2-2-20000-2-22200-220000002-200002-20000-2-2220000-2-2222−22−22−22−2−22−22−22−220000000000000000
χ4822-2-22-222-22-20000222-2-2-2-20000-2-22200-220000002-200002-20000-2-2220000-2-222−22−22−22−222−22−22−22−20000000000000000
χ4922-2-22-22-22-220000222-2-2-2-222-2-2000000002-20000-220000-2222-2-2000022-2-200002−2−222−2−222−2−222−2−220000000000000000
χ5022-2-22-22-22-220000222-2-2-2-222-2-2000000002-20000-220000-2222-2-2000022-2-20000−222−2−222−2−222−2−222−20000000000000000
χ5122-2-22-22-22-220000222-2-2-2-2-2-22200000000-220000-220000-22-2-2220000-2-22200002−2−222−2−22−222−2−222−20000000000000000
χ5222-2-22-22-22-220000222-2-2-2-2-2-22200000000-220000-220000-22-2-2220000-2-2220000−222−2−222−22−2−222−2−220000000000000000
χ5322-2-2-2222-2-220000-2-22-2-22222-2-200000000-2200002-20000-2222-2-20000-2-2220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ5422-2-2-2222-2-220000-2-22-2-22222-2-200000000-2200002-20000-2222-2-20000-2-2220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ5522-2-2-2222-2-220000-2-22-2-222-2-222000000002-200002-20000-22-2-222000022-2-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ5622-2-2-2222-2-220000-2-22-2-222-2-222000000002-200002-20000-22-2-222000022-2-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ5722-2-2-222-222-20000-2-22-2-222000022-2-200-22000000-2200002-20000-2-222000022-2-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ5822-2-2-222-222-20000-2-22-2-222000022-2-200-22000000-2200002-20000-2-222000022-2-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ5922-2-2-222-222-20000-2-22-2-2220000-2-222002-2000000-2200002-2000022-2-20000-2-222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6022-2-2-222-222-20000-2-22-2-2220000-2-222002-2000000-2200002-2000022-2-20000-2-222i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ61444444-2-4-4-4-444-4-4-2-2-2-2-2-2-2000000004-40000-2-22222-2-22222000000000000000000000000000000000000000000000000
χ62444444-2-4-4-4-4-4-444-2-2-2-2-2-2-200000000-44000022-2-22222-2-222000000000000000000000000000000000000000000000000
χ634444-4-4-244-4-444-4-422-2-2-22200000000-44000022-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ644444-4-4-244-4-4-4-44422-2-2-222000000004-40000-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ6544-4-44-4-24-44-40000-2-2-22222000044-4-4004-4000000-220000-220000-2-2220000-2-22200000000000000000000000000000000
χ6644-4-44-4-24-44-40000-2-2-222220000-4-44400-44000000-220000-22000022-2-2000022-2-200000000000000000000000000000000
χ6744-4-44-4-2-44-440000-2-2-2222244-4-4000000004-400002-200002-2-2-2220000-2-222000000000000000000000000000000000000
χ6844-4-44-4-2-44-440000-2-2-22222-4-44400000000-4400002-200002-222-2-2000022-2-2000000000000000000000000000000000000
χ6944-4-4-44-24-4-44000022-222-2-244-4-400000000-440000-2200002-2-2-222000022-2-2000000000000000000000000000000000000
χ7044-4-4-44-24-4-44000022-222-2-2-4-444000000004-40000-2200002-222-2-20000-2-222000000000000000000000000000000000000
χ7144-4-4-44-2-444-4000022-222-2-2000044-4-400-440000002-20000-22000022-2-20000-2-22200000000000000000000000000000000
χ7244-4-4-44-2-444-4000022-222-2-20000-4-444004-40000002-20000-220000-2-222000022-2-200000000000000000000000000000000
χ734-44-40040000004i−4i00-44-40022−2222−22−2i22i2−2i22i2000000000000004i−4i0022−2222−2200000000−2i22i2−2i22i200000000000000000000000000000000
χ744-44-40040000004i−4i00-44-400−2222−22222i2−2i22i2−2i2000000000000004i−4i00−2222−2222000000002i2−2i22i2−2i200000000000000000000000000000000
χ754-44-4004000000−4i4i00-44-40022−2222−222i2−2i22i2−2i200000000000000−4i4i0022−2222−22000000002i2−2i22i2−2i200000000000000000000000000000000
χ764-44-4004000000−4i4i00-44-400−2222−2222−2i22i2−2i22i200000000000000−4i4i00−2222−222200000000−2i22i2−2i22i200000000000000000000000000000000
χ774-44-400-20000004i−4i−2i32i32-22−2i32i322−2222−22−2i22i2−2i22i20000000023−230000−2i2i00−22−226−66−6i6−i6i6−i6i2−i2i2−i200000000000000000000000000000000
χ784-44-400-20000004i−4i−2i32i32-22−2i32i3−2222−22222i2−2i22i2−2i20000000023−230000−2i2i002−22−2−66−66−i6i6−i6i6−i2i2−i2i200000000000000000000000000000000
χ794-44-400-20000004i−4i2i3−2i32-222i3−2i322−2222−22−2i22i2−2i22i200000000−23230000−2i2i00−22−22−66−66−i6i6−i6i6i2−i2i2−i200000000000000000000000000000000
χ804-44-400-20000004i−4i2i3−2i32-222i3−2i3−2222−22222i2−2i22i2−2i200000000−23230000−2i2i002−22−26−66−6i6−i6i6−i6−i2i2−i2i200000000000000000000000000000000
χ814-44-400-2000000−4i4i−2i32i32-22−2i32i322−2222−222i2−2i22i2−2i200000000−232300002i−2i00−22−22−66−66i6−i6i6−i6−i2i2−i2i200000000000000000000000000000000
χ824-44-400-2000000−4i4i−2i32i32-22−2i32i3−2222−2222−2i22i2−2i22i200000000−232300002i−2i002−22−26−66−6−i6i6−i6i6i2−i2i2−i200000000000000000000000000000000
χ834-44-400-2000000−4i4i2i3−2i32-222i3−2i322−2222−222i2−2i22i2−2i20000000023−2300002i−2i00−22−226−66−6−i6i6−i6i6−i2i2−i2i200000000000000000000000000000000
χ844-44-400-2000000−4i4i2i3−2i32-222i3−2i3−2222−2222−2i22i2−2i22i20000000023−2300002i−2i002−22−2−66−66i6−i6i6−i6i2−i2i2−i200000000000000000000000000000000
χ854-4-4400400004i−4i0000-4-440022−22−2222−2i22i22i2−2i20000000000004i−4i000022−22−222200000000−2i22i22i2−2i200000000000000000000000000000000
χ864-4-4400400004i−4i0000-4-4400−222222−222i2−2i2−2i22i20000000000004i−4i0000−222222−22000000002i2−2i2−2i22i200000000000000000000000000000000
χ874-4-440040000−4i4i0000-4-440022−22−22222i2−2i2−2i22i2000000000000−4i4i000022−22−2222000000002i2−2i2−2i22i200000000000000000000000000000000
χ884-4-440040000−4i4i0000-4-4400−222222−22−2i22i22i2−2i2000000000000−4i4i0000−222222−2200000000−2i22i22i2−2i200000000000000000000000000000000
χ894-4-4400-200004i−4i00−2i32i322-22i3−2i322−22−2222−2i22i22i2−2i200000023−230000−2i2i0000−222−26−6−66i6−i6−i6i6i2−i2−i2i200000000000000000000000000000000
χ904-4-4400-200004i−4i00−2i32i322-22i3−2i3−222222−222i2−2i2−2i22i200000023−230000−2i2i00002−2−22−666−6−i6i6i6−i6−i2i2i2−i200000000000000000000000000000000
χ914-4-4400-200004i−4i002i3−2i322-2−2i32i322−22−2222−2i22i22i2−2i2000000−23230000−2i2i0000−222−2−666−6−i6i6i6−i6i2−i2−i2i200000000000000000000000000000000
χ924-4-4400-200004i−4i002i3−2i322-2−2i32i3−222222−222i2−2i2−2i22i2000000−23230000−2i2i00002−2−226−6−66i6−i6−i6i6−i2i2i2−i200000000000000000000000000000000
χ934-4-4400-20000−4i4i00−2i32i322-22i3−2i322−22−22222i2−2i2−2i22i2000000−232300002i−2i0000−222−2−666−6i6−i6−i6i6−i2i2i2−i200000000000000000000000000000000
χ944-4-4400-20000−4i4i00−2i32i322-22i3−2i3−222222−22−2i22i22i2−2i2000000−232300002i−2i00002−2−226−6−66−i6i6i6−i6i2−i2−i2i200000000000000000000000000000000
χ954-4-4400-20000−4i4i002i3−2i322-2−2i32i322−22−22222i2−2i2−2i22i200000023−2300002i−2i0000−222−26−6−66−i6i6i6−i6−i2i2i2−i200000000000000000000000000000000
χ964-4-4400-20000−4i4i002i3−2i322-2−2i32i3−222222−22−2i22i22i2−2i200000023−2300002i−2i00002−2−22−666−6i6−i6−i6i6i2−i2−i2i200000000000000000000000000000000

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