Finite Group Databasebeta

← Group #10877163

Character table — Group #10877163

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order1222223444444446668888121212122266666688888812121212121224242424242424242424242424242424888824242424242424242444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ91111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1-1-111
χ101111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ111111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111-1-111
χ121111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-111-1-1
χ131111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ141111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-11111-1-1-1-111
χ151111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1-1-11111-1-111-1-1
χ161111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ1722222222222-2-2-2-22220000-2-2-2-2-2-222-2-2-2-2000000-22222-200000000000000000000000000000000000000002i−2i2i−2i
χ1822222222222-2-2-2-22220000-2-2-2-2-2-222-2-2-2-2000000-22222-20000000000000000000000000000000000000000−2i2i−2i2i
χ192222222-2-2-2-2-2-2-2-22220000-2-2-2-222222222000000-2-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i
χ202222222-2-2-2-2-2-2-2-22220000-2-2-2-222222222000000-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i
χ21222222-122222222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-122222222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ24222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ25222222-1-2-2-2-22222-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ26222222-1-2-2-2-22222-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ27222222-1-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-10000000000000000
χ28222222-1-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-1-222-211-1-1-1-1110000000000000000
χ292222-2-2222-2-222-2-2222000022222-2-2-222-2-2000000-222-2-2-200000000000000000000000000002-22-2000000000000
χ302222-2-2222-2-222-2-2222000022222-2-2-222-2-2000000-222-2-2-20000000000000000000000000000-22-22000000000000
χ312222-2-2222-2-2-2-2222222222-2-2-2-2-22-2-2-2-222-2-222-2-2222-2-222222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ322222-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-222222-2-22-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ332222-2-22-2-22222-2-222200002222-22-2-2-2-222000000-2-2-222-200000000000000000000000000002-2-22000000000000
χ342222-2-22-2-22222-2-222200002222-22-2-2-2-222000000-2-2-222-20000000000000000000000000000-222-2000000000000
χ352222-2-22-2-222-2-2222222222-2-2-2-22-2-2-222-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ362222-2-22-2-222-2-222222-2-2-2-2-2-2-2-22-2-2-222-2-22222-2-22-2-2222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ372222-2-2-122-2-2-2-222-1-1-122221111-221111-1-1-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-1111100003−33−33−33−30000000000000000
χ382222-2-2-122-2-2-2-222-1-1-122221111-221111-1-1-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-111110000−33−33−33−330000000000000000
χ392222-2-2-122-2-2-2-222-1-1-1-2-2-2-21111-221111-1-122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-100003−33−3−33−330000000000000000
χ402222-2-2-122-2-2-2-222-1-1-1-2-2-2-21111-221111-1-122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-10000−33−333−33−30000000000000000
χ412222-2-2-1-2-222-2-222-1-1-1222211112-211-1-111-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-100003−3−333−3−330000000000000000
χ422222-2-2-1-2-222-2-222-1-1-1222211112-211-1-111-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-10000−333−3−333−30000000000000000
χ432222-2-2-1-2-222-2-222-1-1-1-2-2-2-211112-211-1-1112222-2-2-111-1-1-11111-1-1-1-1-1-1-1-1111100003−3−33−333−30000000000000000
χ442222-2-2-1-2-222-2-222-1-1-1-2-2-2-211112-211-1-1112222-2-2-111-1-1-11111-1-1-1-1-1-1-1-111110000−333−33−3−330000000000000000
χ4522-2-22-2200002-2-22-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-2000000000000000000000000002i−2i002i−2i0000
χ4622-2-22-2200002-2-22-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-200000000000000000000000000−2i2i00−2i2i0000
χ4722-2-22-2200002-2-22-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-222000000000000000000000000002i−2i00−2i2i0000
χ4822-2-22-2200002-2-22-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-22200000000000000000000000000−2i2i002i−2i0000
χ4922-2-2-2220000-22-22-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-2220000000000000000000000002i−2i002i−2i000000
χ5022-2-2-2220000-22-22-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-222000000000000000000000000−2i2i00−2i2i000000
χ5122-2-2-2220000-22-22-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-20000000000000000000000002i−2i00−2i2i000000
χ5222-2-2-2220000-22-22-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-2000000000000000000000000−2i2i002i−2i000000
χ53444444-24444-4-4-4-4-2-2-200002222-4-4-2-222220000002-2-2-2-2200000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-4-4-2-2-20000222244-2-2-2-2-2-200000022222200000000000000000000000000000000000000000000
χ554444-4-4-244-4-444-4-4-2-2-20000-2-2-2-24-422-2-2220000002-2-222200000000000000000000000000000000000000000000
χ564444-4-4-2-4-44444-4-4-2-2-20000-2-2-2-2-442222-2-2000000222-2-2200000000000000000000000000000000000000000000
χ5744-4-44-440000-444-4-4-440000-4-444004-4000000000040000-400000000000000000000000000000000000000000000
χ5844-4-44-4-200004-4-4422-244-4-4-2-22200-2200004-4000020000-2-2-222-2-222000000000000000000000000000000000000
χ5944-4-44-4-200004-4-4422-2-4-444-2-22200-220000-44000020000-222-2-222-2-2000000000000000000000000000000000000
χ6044-4-44-4-20000-444-422-2000022-2-200-220000000000-200002000000002323−23−232323−23−230000000000000000000000000000
χ6144-4-44-4-20000-444-422-2000022-2-200-220000000000-20000200000000−23−232323−23−2323230000000000000000000000000000
χ6244-4-4-44400004-44-4-4-44000044-4-400-44000000000040000-400000000000000000000000000000000000000000000
χ6344-4-4-44-200004-44-422-20000-2-222002-20000000000-200002000000002323−23−23−23−2323230000000000000000000000000000
χ6444-4-4-44-200004-44-422-20000-2-222002-20000000000-20000200000000−23−2323232323−23−230000000000000000000000000000
χ6544-4-4-44-20000-44-4422-244-4-422-2-2002-20000-44000020000-2-2-22222-2-2000000000000000000000000000000000000
χ6644-4-4-44-20000-44-4422-2-4-44422-2-2002-200004-4000020000-222-2-2-2-222000000000000000000000000000000000000
χ674-44-4004004i−4i00004-4-422−2222−220000000000000000−2i22i20004i−4i022−2222−2200000000−2i22i2−2i22i20000000000000000000000000000
χ684-44-4004004i−4i00004-4-4−2222−222200000000000000002i2−2i20004i−4i0−2222−2222000000002i2−2i22i2−2i20000000000000000000000000000
χ694-44-400400−4i4i00004-4-422−2222−2200000000000000002i2−2i2000−4i4i022−2222−22000000002i2−2i22i2−2i20000000000000000000000000000
χ704-44-400400−4i4i00004-4-4−2222−22220000000000000000−2i22i2000−4i4i0−2222−222200000000−2i22i2−2i22i20000000000000000000000000000
χ714-44-400-2004i−4i0000-22222−2222−2223−2323−23000000−2i32i30000−2i22i2000−2i2i0−22−226−66−6i6−i6i6−i6i2−i2i2−i20000000000000000000000000000
χ724-44-400-2004i−4i0000-22222−2222−22−2323−23230000002i3−2i30000−2i22i2000−2i2i0−22−22−66−66−i6i6−i6i6i2−i2i2−i20000000000000000000000000000
χ734-44-400-2004i−4i0000-222−2222−222223−2323−23000000−2i32i300002i2−2i2000−2i2i02−22−2−66−66−i6i6−i6i6−i2i2−i2i20000000000000000000000000000
χ744-44-400-2004i−4i0000-222−2222−2222−2323−23230000002i3−2i300002i2−2i2000−2i2i02−22−26−66−6i6−i6i6−i6−i2i2−i2i20000000000000000000000000000
χ754-44-400-200−4i4i0000-22222−2222−2223−2323−230000002i3−2i300002i2−2i20002i−2i0−22−226−66−6−i6i6−i6i6−i2i2−i2i20000000000000000000000000000
χ764-44-400-200−4i4i0000-22222−2222−22−2323−2323000000−2i32i300002i2−2i20002i−2i0−22−22−66−66i6−i6i6−i6−i2i2−i2i20000000000000000000000000000
χ774-44-400-200−4i4i0000-222−2222−222223−2323−230000002i3−2i30000−2i22i20002i−2i02−22−2−66−66i6−i6i6−i6i2−i2i2−i20000000000000000000000000000
χ784-44-400-200−4i4i0000-222−2222−2222−2323−2323000000−2i32i30000−2i22i20002i−2i02−22−26−66−6−i6i6−i6i6i2−i2i2−i20000000000000000000000000000
χ794-4-440044i−4i000000-44-422−22−222200000000000000−2i22i20004i−4i00022−22−22220000−2i22i22i2−2i200000000000000000000000000000000
χ804-4-440044i−4i000000-44-4−222222−22000000000000002i2−2i20004i−4i000−222222−2200002i2−2i2−2i22i200000000000000000000000000000000
χ814-4-44004−4i4i000000-44-422−22−2222000000000000002i2−2i2000−4i4i00022−22−222200002i2−2i2−2i22i200000000000000000000000000000000
χ824-4-44004−4i4i000000-44-4−222222−2200000000000000−2i22i2000−4i4i000−222222−220000−2i22i22i2−2i200000000000000000000000000000000
χ834-4-4400-24i−4i0000002-2222−22−222223−23−23230000−2i32i30000−2i22i2000−2i2i000−222−26−6−66i2−i2−i2i2i6−i6−i6i60000000000000000000000000000
χ844-4-4400-24i−4i0000002-2222−22−2222−232323−2300002i3−2i30000−2i22i2000−2i2i000−222−2−666−6i2−i2−i2i2−i6i6i6−i60000000000000000000000000000
χ854-4-4400-24i−4i0000002-22−222222−2223−23−23230000−2i32i300002i2−2i2000−2i2i0002−2−22−666−6−i2i2i2−i2−i6i6i6−i60000000000000000000000000000
χ864-4-4400-24i−4i0000002-22−222222−22−232323−2300002i3−2i300002i2−2i2000−2i2i0002−2−226−6−66−i2i2i2−i2i6−i6−i6i60000000000000000000000000000
χ874-4-4400-2−4i4i0000002-2222−22−222223−23−232300002i3−2i300002i2−2i20002i−2i000−222−26−6−66−i2i2i2−i2−i6i6i6−i60000000000000000000000000000
χ884-4-4400-2−4i4i0000002-2222−22−2222−232323−230000−2i32i300002i2−2i20002i−2i000−222−2−666−6−i2i2i2−i2i6−i6−i6i60000000000000000000000000000
χ894-4-4400-2−4i4i0000002-22−222222−2223−23−232300002i3−2i30000−2i22i20002i−2i0002−2−22−666−6i2−i2−i2i2i6−i6−i6i60000000000000000000000000000
χ904-4-4400-2−4i4i0000002-22−222222−22−232323−230000−2i32i30000−2i22i20002i−2i0002−2−226−6−66i2−i2−i2i2−i6i6i6−i60000000000000000000000000000

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