Finite Group Databasebeta

← Group #10948987

Character table — Group #10948987

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order1222223444444446668888121212122266666688888812121212121224242424242424242424242424242424244466121212121212222244441616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ151111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-222222-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ192222222-2-2-22222-22220000-2-2-2-2-2-222-2-2-2-2000000-22222-20000000000000000000000000000000000002−22−22−22−2
χ202222222-2-2-22222-22220000-2-2-2-2-2-222-2-2-2-2000000-22222-2000000000000000000000000000000000000−22−22−22−22
χ212222222-2-2-2-2-2-2-2-22220000-2-2-2-222222222000000-2-2-2-2-2-20000000000000000000000000000000000002−22−2−22−22
χ222222222-2-2-2-2-2-2-2-22220000-2-2-2-222222222000000-2-2-2-2-2-2000000000000000000000000000000000000−22−222−22−2
χ23222222-122222222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222222-1-1-12222-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ25222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ26222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ27222222-1222-2-2-2-22-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ28222222-1222-2-2-2-22-1-1-12222-1-1-1-1-2-2-1-1111122-2-2-2-2-11111-1-1-1-1-1-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ29222222-1222-2-2-2-22-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ30222222-1222-2-2-2-22-1-1-1-2-2-2-2-1-1-1-1-2-2-1-11111-2-22222-11111-111111111-1-1-1-1-1-1-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ312222-2-222-2-222-2-22222-2-2-2-2-2-2-2-22-2-2-222-2-222-2-222222-2-22-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ322222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-22-2-2222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ332222-2-22-22222-2-2-222200002222-22-2-2-2-222000000-222-2-2-20000000000000000000000000000000000002−2−222−2−22
χ342222-2-22-22222-2-2-222200002222-22-2-2-2-222000000-222-2-2-2000000000000000000000000000000000000−222−2−222−2
χ352222-2-22-222-2-222-2222000022222-2-2-222-2-2000000-2-2-222-20000000000000000000000000000000000002−2−22−222−2
χ362222-2-22-222-2-222-2222000022222-2-2-222-2-2000000-2-2-222-2000000000000000000000000000000000000−222−22−2−22
χ372222-2-2-12-2-222-2-22-1-1-1222211112-211-1-111-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ382222-2-2-12-2-222-2-22-1-1-1222211112-211-1-111-2-222-2-2-1-1-111-1-1-1-1-11111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ392222-2-2-12-2-222-2-22-1-1-1-2-2-2-211112-211-1-11122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ402222-2-2-12-2-222-2-22-1-1-1-2-2-2-211112-211-1-11122-2-222-1-1-111-11111-1-1-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ412222-2-2-12-2-2-2-2222-1-1-122221111-221111-1-1-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ422222-2-2-12-2-2-2-2222-1-1-122221111-221111-1-1-2-2-2-222-111-1-1-1-1-1-1-111111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ432222-2-2-12-2-2-2-2222-1-1-1-2-2-2-21111-221111-1-12222-2-2-111-1-1-11111-1-1-1-1-1-1-1-111110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222-2-2-12-2-2-2-2222-1-1-1-2-2-2-21111-221111-1-12222-2-2-111-1-1-11111-1-1-1-1-1-1-1-111110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ452-2-222-22-22-200002-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-20000000000000000000000002-22-200000000
χ462-2-222-22-22-200002-2-2222-2-222-2-2002-200002-20000-20000222-2-222-2-2000000000000000000000000-22-2200000000
χ472-2-222-22-22-200002-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-222000000000000000000002-22-2000000000000
χ482-2-222-22-22-200002-2-22-2-22222-2-2002-20000-220000-200002-2-222-2-22200000000000000000000-22-22000000000000
χ492-2-22-222-2-2200002-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-2220000000000000000000000002-2-2200000000
χ502-2-22-222-2-2200002-2-2222-2-2-2-22200-220000-220000-20000222-2-2-2-222000000000000000000000000-222-200000000
χ512-2-22-222-2-2200002-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-2000000000000000000002-2-22000000000000
χ522-2-22-222-2-2200002-2-22-2-222-2-22200-2200002-20000-200002-2-22222-2-200000000000000000000-222-2000000000000
χ53444444-2-4-4-44444-4-2-2-200002222-4-4-2-222220000002-2-2-2-2200000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-4-4-2-2-20000222244-2-2-2-2-2-200000022222200000000000000000000000000000000000000000000
χ554444-4-4-2-44444-4-4-4-2-2-20000-2-2-2-2-442222-2-20000002-2-222200000000000000000000000000000000000000000000
χ564444-4-4-2-444-4-444-4-2-2-20000-2-2-2-24-422-2-222000000222-2-2200000000000000000000000000000000000000000000
χ5744-4-4004000004i−4i04-4-422−2222−220000000000000000−2i22i20004i−4i022−2222−2200000000−2i2−2i22i22i20000000000000000000000000000
χ5844-4-4004000004i−4i04-4-4−2222−222200000000000000002i2−2i20004i−4i0−2222−2222000000002i22i2−2i2−2i20000000000000000000000000000
χ5944-4-400400000−4i4i04-4-422−2222−2200000000000000002i2−2i2000−4i4i022−2222−22000000002i22i2−2i2−2i20000000000000000000000000000
χ6044-4-400400000−4i4i04-4-4−2222−22220000000000000000−2i22i2000−4i4i0−2222−222200000000−2i2−2i22i22i20000000000000000000000000000
χ6144-4-400-2000004i−4i0-22222−2222−2223−2323−230000−2i32i3000000−2i22i2000−2i2i0−22−226−66−6i6i6−i6−i6i2i2−i2−i20000000000000000000000000000
χ6244-4-400-2000004i−4i0-22222−2222−22−2323−232300002i3−2i3000000−2i22i2000−2i2i0−22−22−66−66−i6−i6i6i6i2i2−i2−i20000000000000000000000000000
χ6344-4-400-2000004i−4i0-222−2222−222223−2323−230000−2i32i30000002i2−2i2000−2i2i02−22−2−66−66−i6−i6i6i6−i2−i2i2i20000000000000000000000000000
χ6444-4-400-2000004i−4i0-222−2222−2222−2323−232300002i3−2i30000002i2−2i2000−2i2i02−22−26−66−6i6i6−i6−i6−i2−i2i2i20000000000000000000000000000
χ6544-4-400-200000−4i4i0-22222−2222−2223−2323−2300002i3−2i30000002i2−2i20002i−2i0−22−226−66−6−i6−i6i6i6−i2−i2i2i20000000000000000000000000000
χ6644-4-400-200000−4i4i0-22222−2222−22−2323−23230000−2i32i30000002i2−2i20002i−2i0−22−22−66−66i6i6−i6−i6−i2−i2i2i20000000000000000000000000000
χ6744-4-400-200000−4i4i0-222−2222−222223−2323−2300002i3−2i3000000−2i22i20002i−2i02−22−2−66−66i6i6−i6−i6i2i2−i2−i20000000000000000000000000000
χ6844-4-400-200000−4i4i0-222−2222−2222−2323−23230000−2i32i3000000−2i22i20002i−2i02−22−26−66−6−i6−i6i6i6i2i2−i2−i20000000000000000000000000000
χ694-44-40040004i−4i000-44-422−22−222200000000000000−2i22i20004i−4i00022−22−22220000−2i22i2−2i22i200000000000000000000000000000000
χ704-44-40040004i−4i000-44-4−222222−22000000000000002i2−2i20004i−4i000−222222−2200002i2−2i22i2−2i200000000000000000000000000000000
χ714-44-4004000−4i4i000-44-422−22−2222000000000000002i2−2i2000−4i4i00022−22−222200002i2−2i22i2−2i200000000000000000000000000000000
χ724-44-4004000−4i4i000-44-4−222222−2200000000000000−2i22i2000−4i4i000−222222−220000−2i22i2−2i22i200000000000000000000000000000000
χ734-44-400-20004i−4i0002-2222−22−222223−23−2323000000−2i32i300−2i22i2000−2i2i000−222−26−6−66i2−i2i2−i2i6−i6i6−i60000000000000000000000000000
χ744-44-400-20004i−4i0002-2222−22−2222−232323−230000002i3−2i300−2i22i2000−2i2i000−222−2−666−6i2−i2i2−i2−i6i6−i6i60000000000000000000000000000
χ754-44-400-20004i−4i0002-22−222222−2223−23−2323000000−2i32i3002i2−2i2000−2i2i0002−2−22−666−6−i2i2−i2i2−i6i6−i6i60000000000000000000000000000
χ764-44-400-20004i−4i0002-22−222222−22−232323−230000002i3−2i3002i2−2i2000−2i2i0002−2−226−6−66−i2i2−i2i2i6−i6i6−i60000000000000000000000000000
χ774-44-400-2000−4i4i0002-2222−22−222223−23−23230000002i3−2i3002i2−2i20002i−2i000−222−26−6−66−i2i2−i2i2−i6i6−i6i60000000000000000000000000000
χ784-44-400-2000−4i4i0002-2222−22−2222−232323−23000000−2i32i3002i2−2i20002i−2i000−222−2−666−6−i2i2−i2i2i6−i6i6−i60000000000000000000000000000
χ794-44-400-2000−4i4i0002-22−222222−2223−23−23230000002i3−2i300−2i22i20002i−2i0002−2−22−666−6i2−i2i2−i2i6−i6i6−i60000000000000000000000000000
χ804-44-400-2000−4i4i0002-22−222222−22−232323−23000000−2i32i300−2i22i20002i−2i0002−2−226−6−66i2−i2i2−i2−i6i6−i6i60000000000000000000000000000
χ814-4-444-444-440000-4-4-440000-4-444004-4000000000040000-400000000000000000000000000000000000000000000
χ824-4-444-4-24-440000-422-2000022-2-200-220000000000-2000020000000023−23−232323−23−23230000000000000000000000000000
χ834-4-444-4-24-440000-422-2000022-2-200-220000000000-20000200000000−232323−23−232323−230000000000000000000000000000
χ844-4-444-4-2-44-40000422-244-4-4-2-22200-2200004-4000020000-2-2-222-2-222000000000000000000000000000000000000
χ854-4-444-4-2-44-40000422-2-4-444-2-22200-220000-44000020000-222-2-222-2-2000000000000000000000000000000000000
χ864-4-44-44444-40000-4-4-44000044-4-400-44000000000040000-400000000000000000000000000000000000000000000
χ874-4-44-44-244-40000-422-20000-2-222002-20000000000-2000020000000023−23−2323−232323−230000000000000000000000000000
χ884-4-44-44-244-40000-422-20000-2-222002-20000000000-20000200000000−232323−2323−23−23230000000000000000000000000000
χ894-4-44-44-2-4-440000422-244-4-422-2-2002-20000-44000020000-2-2-22222-2-2000000000000000000000000000000000000
χ904-4-44-44-2-4-440000422-2-4-44422-2-2002-200004-4000020000-222-2-2-2-222000000000000000000000000000000000000

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