Finite Group Databasebeta

← Group #10822582

Character table — Group #10822582

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444888888888888888888121212122424242424241111222222222244444488888888888888888812121212242424242424
order122222222236666666664444441212121212121212121212122222444444222222222266666666664444441212121212121212121212122222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ92222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000002222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ112222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000002222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ122222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ1322222-2-22-2-2222222-2-2-2-200002-20000000022-2-2000000000022222-2-22-2-2222222-2-2-2-200002-20000000022-2-20000000000
χ1422222-2-22-2-2222222-2-2-2-20000-2200000000-2-222000000000022222-2-22-2-2222222-2-2-2-20000-2200000000-2-2220000000000
χ1522222-2-22-2-2-1-1-1-1-1-1111100002-2−i3−i3i3i3−i3−i3i3i3-1-111000000000022222-2-22-2-2-1-1-1-1-1-1111100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000
χ1622222-2-22-2-2-1-1-1-1-1-1111100002-2i3i3−i3−i3i3i3−i3−i3-1-111000000000022222-2-22-2-2-1-1-1-1-1-1111100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000
χ1722222-2-22-2-2-1-1-1-1-1-111110000-22−i3−i3i3i3i3i3−i3−i311-1-1000000000022222-2-22-2-2-1-1-1-1-1-111110000-22−i3−i3i3i3i3i3−i3−i311-1-10000000000
χ1822222-2-22-2-2-1-1-1-1-1-111110000-22i3i3−i3−i3−i3−i3i3i311-1-1000000000022222-2-22-2-2-1-1-1-1-1-111110000-22i3i3−i3−i3−i3−i3i3i311-1-10000000000
χ192222-22-2-22-22222-2-222-2-2002-20000002-22-2000000000000002222-22-2-22-22222-2-222-2-2002-20000002-22-200000000000000
χ202222-22-2-22-22222-2-222-2-200-22000000-22-22000000000000002222-22-2-22-22222-2-222-2-200-22000000-22-2200000000000000
χ212222-22-2-22-2-1-1-1-111-1-111002-200−i3i3−i3i3-11-11−i3i3−i3i300000000002222-22-2-22-2-1-1-1-111-1-111002-200−i3i3−i3i3-11-11−i3i3−i3i30000000000
χ222222-22-2-22-2-1-1-1-111-1-111002-200i3−i3i3−i3-11-11i3−i3i3−i300000000002222-22-2-22-2-1-1-1-111-1-111002-200i3−i3i3−i3-11-11i3−i3i3−i30000000000
χ232222-22-2-22-2-1-1-1-111-1-11100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000002222-22-2-22-2-1-1-1-111-1-11100-2200−i3i3−i3i31-11-1i3−i3i3−i30000000000
χ242222-22-2-22-2-1-1-1-111-1-11100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000002222-22-2-22-2-1-1-1-111-1-11100-2200i3−i3i3−i31-11-1−i3i3−i3i30000000000
χ252222-2-22-2-222222-2-2-2-2222-200002-2-220000000000000000002222-2-22-2-222222-2-2-2-2222-200002-2-22000000000000000000
χ262222-2-22-2-222222-2-2-2-222-220000-222-20000000000000000002222-2-22-2-222222-2-2-2-222-220000-222-2000000000000000000
χ272222-2-22-2-22-1-1-1-11111-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i300000000002222-2-22-2-22-1-1-1-11111-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i30000000000
χ282222-2-22-2-22-1-1-1-11111-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i300000000002222-2-22-2-22-1-1-1-11111-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i30000000000
χ292222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i300000000002222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i30000000000
χ302222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i300000000002222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i30000000000
χ3122-2-2222-2-2-222-2-22-22-22-200000000000000000022-2-200000022-2-2222-2-2-222-2-22-22-22-200000000000000000022-2-2000000
χ3222-2-2222-2-2-222-2-22-22-22-2000000000000000000-2-22200000022-2-2222-2-2-222-2-22-22-22-2000000000000000000-2-222000000
χ3322-2-22-2-2-22222-2-22-2-22-22000000000000000000000000002i−2i22-2-22-2-2-22222-2-22-2-22-22000000000000000000000000002i−2i
χ3422-2-22-2-2-22222-2-22-2-22-2200000000000000000000000000−2i2i22-2-22-2-2-22222-2-22-2-22-2200000000000000000000000000−2i2i
χ3522-2-2-22-22-2222-2-2-222-2-220000000000000000000000002i−2i0022-2-2-22-22-2222-2-2-222-2-220000000000000000000000002i−2i00
χ3622-2-2-22-22-2222-2-2-222-2-22000000000000000000000000−2i2i0022-2-2-22-22-2222-2-2-222-2-22000000000000000000000000−2i2i00
χ3722-2-2-2-2222-222-2-2-22-222-200000000000000000000002i−2i000022-2-2-2-2222-222-2-2-22-222-200000000000000000000002i−2i0000
χ3822-2-2-2-2222-222-2-2-22-222-20000000000000000000000−2i2i000022-2-2-2-2222-222-2-2-22-222-20000000000000000000000−2i2i0000
χ3944-4-4444-4-4-4-2-222-22-22-22000000000000000000000000000044-4-4444-4-4-4-2-222-22-22-220000000000000000000000000000
χ4044-4-44-4-4-444-2-222-222-22-2000000000000000000000000000044-4-44-4-4-444-2-222-222-22-20000000000000000000000000000
χ4144-4-4-44-44-44-2-2222-2-222-2000000000000000000000000000044-4-4-44-44-44-2-2222-2-222-20000000000000000000000000000
χ4244-4-4-4-4444-4-2-2222-22-2-22000000000000000000000000000044-4-4-4-4444-4-2-2222-22-2-220000000000000000000000000000
χ434-44-40000004-44-40000000000000000000000002-22-20000004-44-40000004-44-40000000000000000000000002-22-2000000
χ444-44-40000004-44-4000000000000000000000000-22-220000004-44-40000004-44-4000000000000000000000000-22-22000000
χ454-4-440000004-4-440000000000000000000000002-2-220000004-4-440000004-4-440000000000000000000000002-2-22000000
χ464-4-440000004-4-44000000000000000000000000-222-20000004-4-440000004-4-44000000000000000000000000-222-2000000
χ478-88-8000000-44-4400000000000000000000000000000000008-88-8000000-44-440000000000000000000000000000000000
χ488-8-88000000-444-400000000000000000000000000000000008-8-88000000-444-40000000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111
χ521111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1
χ5311111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ5411111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-111-1-1
χ5511111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ5611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111
χ572222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-2-21111111111-2-2-2-2-2-21111111111110000000000
χ582222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000-2-2-2-2-2-2-2-2-2-21111111111-2-222221111-1-1-1-1-1-1-1-10000000000
χ592222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000-2-2-2-2-2-2-2-2-2-2111111111122-2-222-1-1-1-11111-1-1-1-10000000000
χ602222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000-2-2-2-2-2-2-2-2-2-211111111112222-2-2-1-1-1-1-1-1-1-111110000000000
χ6122222-2-22-2-2222222-2-2-2-200002-20000000022-2-20000000000-2-2-2-2-222-222-2-2-2-2-2-222220000-2200000000-2-2220000000000
χ6222222-2-22-2-2222222-2-2-2-20000-2200000000-2-2220000000000-2-2-2-2-222-222-2-2-2-2-2-2222200002-20000000022-2-20000000000
χ6322222-2-22-2-2-1-1-1-1-1-1111100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000-2-2-2-2-222-222111111-1-1-1-10000-22i3i3−i3−i3i3i3−i3−i311-1-10000000000
χ6422222-2-22-2-2-1-1-1-1-1-1111100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000-2-2-2-2-222-222111111-1-1-1-10000-22−i3−i3i3i3−i3−i3i3i311-1-10000000000
χ6522222-2-22-2-2-1-1-1-1-1-111110000-22−i3−i3i3i3i3i3−i3−i311-1-10000000000-2-2-2-2-222-222111111-1-1-1-100002-2i3i3−i3−i3−i3−i3i3i3-1-1110000000000
χ6622222-2-22-2-2-1-1-1-1-1-111110000-22i3i3−i3−i3−i3−i3i3i311-1-10000000000-2-2-2-2-222-222111111-1-1-1-100002-2−i3−i3i3i3i3i3−i3−i3-1-1110000000000
χ672222-22-2-22-22222-2-222-2-2002-20000002-22-200000000000000-2-2-2-22-222-22-2-2-2-222-2-22200-22000000-22-2200000000000000
χ682222-22-2-22-22222-2-222-2-200-22000000-22-2200000000000000-2-2-2-22-222-22-2-2-2-222-2-222002-20000002-22-200000000000000
χ692222-22-2-22-2-1-1-1-111-1-111002-200−i3i3−i3i3-11-11−i3i3−i3i30000000000-2-2-2-22-222-221111-1-111-1-100-2200i3−i3i3−i31-11-1i3−i3i3−i30000000000
χ702222-22-2-22-2-1-1-1-111-1-111002-200i3−i3i3−i3-11-11i3−i3i3−i30000000000-2-2-2-22-222-221111-1-111-1-100-2200−i3i3−i3i31-11-1−i3i3−i3i30000000000
χ712222-22-2-22-2-1-1-1-111-1-11100-2200−i3i3−i3i31-11-1i3−i3i3−i30000000000-2-2-2-22-222-221111-1-111-1-1002-200i3−i3i3−i3-11-11−i3i3−i3i30000000000
χ722222-22-2-22-2-1-1-1-111-1-11100-2200i3−i3i3−i31-11-1−i3i3−i3i30000000000-2-2-2-22-222-221111-1-111-1-1002-200−i3i3−i3i3-11-11i3−i3i3−i30000000000
χ732222-2-22-2-222222-2-2-2-2222-200002-2-22000000000000000000-2-2-2-222-222-2-2-2-2-22222-2-2-220000-222-2000000000000000000
χ742222-2-22-2-222222-2-2-2-222-220000-222-2000000000000000000-2-2-2-222-222-2-2-2-2-22222-2-22-200002-2-22000000000000000000
χ752222-2-22-2-22-1-1-1-11111-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i30000000000-2-2-2-222-222-21111-1-1-1-111-2200001-1-11i3−i3−i3i3i3−i3−i3i30000000000
χ762222-2-22-2-22-1-1-1-11111-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i30000000000-2-2-2-222-222-21111-1-1-1-111-2200001-1-11−i3i3i3−i3−i3i3i3−i30000000000
χ772222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i30000000000-2-2-2-222-222-21111-1-1-1-1112-20000-111-1i3−i3−i3i3−i3i3i3−i30000000000
χ782222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i30000000000-2-2-2-222-222-21111-1-1-1-1112-20000-111-1−i3i3i3−i3i3−i3−i3i30000000000
χ7922-2-2222-2-2-222-2-22-22-22-200000000000000000022-2-2000000-2-222-2-2-2222-2-222-22-22-22000000000000000000-2-222000000
χ8022-2-2222-2-2-222-2-22-22-22-2000000000000000000-2-222000000-2-222-2-2-2222-2-222-22-22-2200000000000000000022-2-2000000
χ8122-2-22-2-2-22222-2-22-2-22-22000000000000000000000000002i−2i-2-222-2222-2-2-2-222-222-22-200000000000000000000000000−2i2i
χ8222-2-22-2-2-22222-2-22-2-22-2200000000000000000000000000−2i2i-2-222-2222-2-2-2-222-222-22-2000000000000000000000000002i−2i
χ8322-2-2-22-22-2222-2-2-222-2-220000000000000000000000002i−2i00-2-2222-22-22-2-2-2222-2-222-2000000000000000000000000−2i2i00
χ8422-2-2-22-22-2222-2-2-222-2-22000000000000000000000000−2i2i00-2-2222-22-22-2-2-2222-2-222-20000000000000000000000002i−2i00
χ8522-2-2-2-2222-222-2-2-22-222-200000000000000000000002i−2i0000-2-22222-2-2-22-2-2222-22-2-220000000000000000000000−2i2i0000
χ8622-2-2-2-2222-222-2-2-22-222-20000000000000000000000−2i2i0000-2-22222-2-2-22-2-2222-22-2-2200000000000000000000002i−2i0000
χ8744-4-4444-4-4-4-2-222-22-22-220000000000000000000000000000-4-444-4-4-444422-2-22-22-22-20000000000000000000000000000
χ8844-4-44-4-4-444-2-222-222-22-20000000000000000000000000000-4-444-4444-4-422-2-22-2-22-220000000000000000000000000000
χ8944-4-4-44-44-44-2-2222-2-222-20000000000000000000000000000-4-4444-44-44-422-2-2-222-2-220000000000000000000000000000
χ9044-4-4-4-4444-4-2-2222-22-2-220000000000000000000000000000-4-44444-4-4-4422-2-2-22-222-20000000000000000000000000000
χ914-44-40000004-44-40000000000000000000000002-22-2000000-44-44000000-44-44000000000000000000000000-22-22000000
χ924-44-40000004-44-4000000000000000000000000-22-22000000-44-44000000-44-440000000000000000000000002-22-2000000
χ934-4-440000004-4-440000000000000000000000002-2-22000000-444-4000000-444-4000000000000000000000000-222-2000000
χ944-4-440000004-4-44000000000000000000000000-222-2000000-444-4000000-444-40000000000000000000000002-2-22000000
χ958-88-8000000-44-440000000000000000000000000000000000-88-880000004-44-40000000000000000000000000000000000
χ968-8-88000000-444-40000000000000000000000000000000000-888-80000004-4-440000000000000000000000000000000000

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