Finite Group Databasebeta

← Group #10849261

Character table — Group #10849261

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order1222222234444444466666664488888888121212121212121212121212242424242424242424242424242424242244444444444466121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111
χ91111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111-1-111-1-11111-1-1-1111-1-1
χ101111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-1-1-1-1-1111-1-1-111
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-1-1-111-1111-1-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-1111111-1-11-1-1-111
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-11-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1111-1-1-1-111-1-111-1-11-111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111111-1-1-11111-1-1-1-111-1-1-11-1-111
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11-1-1-11111-1-111-1-1111-111-1-1
χ17222222222-22222-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000222200000000000000000000-2-20000
χ18222222222-22222-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-20000000000000000000022-2-2000000000000000000002-20000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-200000000000000000000-2-22200000000000000000000-220000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-1-1-11111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-200000000221111-1-1-1-1000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-11111111122-2-2000000002-2-1-111-1-111000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-22200000000-2211-1-111-1-1000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-200000000-22-1-11111-1-1000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-222000000002-211-1-1-1-111000000000000
χ2922-222-2-2-22-200002-2222-2-22-2-20000002i2i−2i−2i2-2000000002-2000000002i2i2i2i−2i−2i−2i−2i000000002i2i−2i−2i0000000000002-200000000
χ3022-222-2-2-22-200002-2222-2-22-2-20000002i2i−2i−2i2-2000000002-2000000002i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i000000000000-2200000000
χ3122-222-2-2-22-200002-2222-2-22-2-2000000−2i−2i2i2i2-2000000002-200000000−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i000000000000-2200000000
χ3222-222-2-2-22-200002-2222-2-22-2-2000000−2i−2i2i2i2-2000000002-200000000−2i−2i−2i−2i2i2i2i2i00000000−2i−2i2i2i0000000000002-200000000
χ332-222-22-2-22-20000-222-2-2222-2-2002i2i−2i−2i00002-200000000-222i2i2i2i−2i−2i−2i−2i00000000000000002i−2i2i−2i000000000000002-2000000
χ342-222-22-2-22-20000-222-2-2222-2-2002i2i−2i−2i00002-200000000-222i2i2i2i−2i−2i−2i−2i0000000000000000−2i2i−2i2i00000000000000-22000000
χ352-222-22-2-22-20000-222-2-2222-2-200−2i−2i2i2i00002-200000000-22−2i−2i−2i−2i2i2i2i2i00000000000000002i−2i2i−2i00000000000000-22000000
χ362-222-22-2-22-20000-222-2-2222-2-200−2i−2i2i2i00002-200000000-22−2i−2i−2i−2i2i2i2i2i0000000000000000−2i2i−2i2i000000000000002-2000000
χ372-22-22-22-2202i2i−2i−2i0002-22-2-22-2002−22−2−i2i2−i2i2002i2i−2i−2i00000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-22i−2i00000000000000000000002−2−i2i2
χ382-22-22-22-2202i2i−2i−2i0002-22-2-22-2002−22−2−i2i2−i2i2002i2i−2i−2i00000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-22−2i2i0000000000000000000000−22i2−i2
χ392-22-22-22-2202i2i−2i−2i0002-22-2-22-200−22−22i2−i2i2−i2002i2i−2i−2i000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-22i−2i0000000000000000000000−22i2−i2
χ402-22-22-22-2202i2i−2i−2i0002-22-2-22-200−22−22i2−i2i2−i2002i2i−2i−2i000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-22−2i2i00000000000000000000002−2−i2i2
χ412-22-22-22-220−2i−2i2i2i0002-22-2-22-2002−22−2i2−i2i2−i200−2i−2i2i2i00000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-2−2i2i00000000000000000000002−2i2−i2
χ422-22-22-22-220−2i−2i2i2i0002-22-2-22-2002−22−2i2−i2i2−i200−2i−2i2i2i00000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-222i−2i0000000000000000000000−22−i2i2
χ432-22-22-22-220−2i−2i2i2i0002-22-2-22-200−22−22−i2i2−i2i200−2i−2i2i2i000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-2−2i2i0000000000000000000000−22−i2i2
χ442-22-22-22-220−2i−2i2i2i0002-22-2-22-200−22−22−i2i2−i2i200−2i−2i2i2i000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-222i−2i00000000000000000000002−2i2−i2
χ452-2-22-2-222222-22-2-2-22-2-2-2-22222-200000000222-22-222-2-2-2-20000000000000000000000002-2-2200000000002-20000000000
χ462-2-22-2-222222-22-2-2-22-2-2-2-22222-200000000222-22-222-2-2-2-2000000000000000000000000-222-20000000000-220000000000
χ472-2-22-2-22222-22-22-2-22-2-2-2-2222-220000000022-22-22-2-222-2-20000000000000000000000002-2-220000000000-220000000000
χ482-2-22-2-22222-22-22-2-22-2-2-2-2222-220000000022-22-22-2-222-2-2000000000000000000000000-222-200000000002-20000000000
χ492-2-22-2-2222-22-22-222-2-2-2-2-2222-2200000000-2-22-22-2-2-2222200000000000000002-22-200000000002-22-20000000000000000
χ502-2-22-2-2222-22-22-222-2-2-2-2-2222-2200000000-2-22-22-2-2-222220000000000000000-22-220000000000-22-220000000000000000
χ512-2-22-2-2222-2-22-2222-2-2-2-2-22222-200000000-2-2-22-2222-2-22200000000000000002-2-2200000000002-2-220000000000000000
χ522-2-22-2-2222-2-22-2222-2-2-2-2-22222-200000000-2-2-22-2222-2-2220000000000000000-222-20000000000-222-20000000000000000
χ532-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-11-1111-1-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-20000000000-11-11−i3i3−i3i3000000000000
χ542-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-11-1111-1-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-2200000000001-11-1i3−i3i3−i3000000000000
χ552-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-11-1111-1-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-20000000000-11-11i3−i3i3−i3000000000000
χ562-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-11-1111-1-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-2200000000001-11-1−i3i3−i3i3000000000000
χ572-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000111-11-1-1-111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i32-2-220000000000-111-1−i3i3i3−i3000000000000
χ582-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000111-11-1-1-111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-222-200000000001-1-11i3−i3−i3i3000000000000
χ592-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000111-11-1-1-111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i32-2-220000000000-111-1i3−i3−i3i3000000000000
χ602-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000111-11-1-1-111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-222-200000000001-1-11−i3i3i3−i3000000000000
χ6144444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222222200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ63444-4-4-4-44400000000-444-4-4-4400−2i22i22i2−2i20000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ64444-4-4-4-44400000000-444-4-4-44002i2−2i2−2i22i200000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ65444-4-4-4-44-2000000002-2-2222-200−2i22i22i2−2i2000000000023−2323−2300i2i2−i2−i2−i2−i2i2i2i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ66444-4-4-4-44-2000000002-2-2222-200−2i22i22i2−2i20000000000−2323−232300i2i2−i2−i2−i2−i2i2i2−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ67444-4-4-4-44-2000000002-2-2222-2002i2−2i2−2i22i2000000000023−2323−2300−i2−i2i2i2i2i2−i2−i2−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ68444-4-4-4-44-2000000002-2-2222-2002i2−2i2−2i22i20000000000−2323−232300−i2−i2i2i2i2i2−i2−i2i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ6944-444-4-4-4440000-44-444-4-44-4-40000000000-4400000000-4400000000000000000000000000000000000000000000000000
χ7044-444-4-4-4-240000-44-4-2-222-22200000000002-2000000002-223−2323−23−2323−2323000000000000000000000000000000000000000000
χ7144-444-4-4-4-240000-44-4-2-222-22200000000002-2000000002-2−2323−232323−2323−23000000000000000000000000000000000000000000
χ7244-444-4-4-4-2-400004-44-2-222-2220000004i4i−4i−4i-2200000000-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ7344-444-4-4-4-2-400004-44-2-222-222000000−4i−4i4i4i-2200000000-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ7444-4-4-444-4404i−4i−4i4i000-44-44-44-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ7544-4-4-444-440−4i4i4i−4i000-44-44-44-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ7644-4-4-444-4-204i−4i−4i4i0002-22-22-22000000000000−2i2i2i−2i000000i6−i6−i6i6i6−i6−i6i66−6−666−6−660000000000000000000000000000000000
χ7744-4-4-444-4-204i−4i−4i4i0002-22-22-22000000000000−2i2i2i−2i000000−i6i6i6−i6−i6i6i6−i6−666−6−666−60000000000000000000000000000000000
χ7844-4-4-444-4-20−4i4i4i−4i0002-22-22-220000000000002i−2i−2i2i000000i6−i6−i6i6i6−i6−i6i6−666−6−666−60000000000000000000000000000000000
χ7944-4-4-444-4-20−4i4i4i−4i0002-22-22-220000000000002i−2i−2i2i000000−i6i6i6−i6−i6i6i6−i66−6−666−6−660000000000000000000000000000000000
χ804-444-44-4-44400004-4-4-4-4444-4-40000000000-44000000004-400000000000000000000000000000000000000000000000000
χ814-444-44-4-4-2400004-4-422-2-2-22200000000002-200000000-220000000023−2323−23−2323−23230000000000000000000000000000000000
χ824-444-44-4-4-2400004-4-422-2-2-22200000000002-200000000-2200000000−2323−232323−2323−230000000000000000000000000000000000
χ834-444-44-4-4-2-40000-44422-2-2-222004i4i−4i−4i0000-22000000002-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ844-444-44-4-4-2-40000-44422-2-2-22200−4i−4i4i4i0000-22000000002-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ854-44-44-44-4-204i4i−4i−4i000-22-222-220022−2222−22−2i22i2−2i22i200−2i−2i2i2i000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ864-44-44-44-4-204i4i−4i−4i000-22-222-2200−2222−22222i2−2i22i2−2i200−2i−2i2i2i00000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ874-44-44-44-4-20−4i−4i4i4i000-22-222-220022−2222−222i2−2i22i2−2i2002i2i−2i−2i000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ884-44-44-44-4-20−4i−4i4i4i000-22-222-2200−2222−2222−2i22i2−2i22i2002i2i−2i−2i00000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ894-4-44-4-444-244-44-4-4-442222-2-2-24-400000000-2-2-22-22-2-2222200000000000000000000000000000000000000000000000000
χ904-4-44-4-444-24-44-44-4-442222-2-2-2-4400000000-2-22-22-222-2-22200000000000000000000000000000000000000000000000000
χ914-4-4-444-444000000004-4-44-4-4400000022−22−2222000000000000000000002222−22−22−22−2222220000000000000000000000000000000000
χ924-4-4-444-444000000004-4-44-4-44000000−222222−2200000000000000000000−22−2222222222−22−220000000000000000000000000000000000
χ934-4-4-444-44-200000000-222-222-200000022−22−222200000023−23−232300−666−66−6−66−2−22222−2−20000000000000000000000000000000000
χ944-4-4-444-44-200000000-222-222-200000022−22−2222000000−232323−23006−6−66−666−6−2−22222−2−20000000000000000000000000000000000
χ954-4-4-444-44-200000000-222-222-2000000−222222−2200000023−23−2323006−6−66−666−622−2−2−2−2220000000000000000000000000000000000
χ964-4-4-444-44-200000000-222-222-2000000−222222−22000000−232323−2300−666−66−6−6622−2−2−2−2220000000000000000000000000000000000

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