Finite Group Databasebeta

← Group #10943884

Character table — Group #10943884

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212121216161616161648484848
order1222222234444666666622222222244666612121212444466666666121212121212121212122222222244444444246612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-111-1-11-11-1
χ101111-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-111-1-1-11-11
χ111111-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-11-1-111-11-11
χ121111-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-11-1-1111-11-1
χ131111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1111-1-11
χ141111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111-1
χ151111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-111-1-1-111-1
χ161111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-111-1-11-1-11
χ17222222222-2-2-2-22222222222-2-222-2-2-2-22222-2-2-2-2000022-2-222-2-200000000-2-200000000000000000000000000
χ18222222222-2-2-2-222222222-2-222-2-222-2-22222-2-2-2-20000-2-222-2-22200000000-2-200000000000000000000000000
χ1922222222-12222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ2022222222-12222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111-1-10000000000000000-2-211110000
χ2122222222-12222-1-1-1-1-1-1-12-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-10000000000000000-2-211110000
χ2222222222-12222-1-1-1-1-1-1-12-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-1-1000000000000000022-1-1-1-10000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1222-2-222-2-2-2-2-1-1-1-111110000-1-111-1-111i3i3−i3−i3i3i3−i3−i311000000000000000000i3−i3i3−i30000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1222-2-222-2-2-2-2-1-1-1-111110000-1-111-1-111−i3−i3i3i3−i3−i3i3i311000000000000000000−i3i3−i3i30000
χ2522222222-1-2-2-2-2-1-1-1-1-1-1-12-2-222-2-222-2-2-1-1-1-11111000011-1-111-1-1i3i3−i3−i3i3i3−i3−i311000000000000000000−i3i3−i3i30000
χ2622222222-1-2-2-2-2-1-1-1-1-1-1-12-2-222-2-222-2-2-1-1-1-11111000011-1-111-1-1−i3−i3i3i3−i3−i3i3i311000000000000000000i3−i3i3−i30000
χ27222222-2-2222-2-22-2-2-2-222-2000000002-222-2-222-2-2000000000000000000002-2000022220000-2-2-2-20000000000
χ28222222-2-2222-2-22-2-2-2-222-2000000002-222-2-222-2-2000000000000000000002-20000-2-2-2-2000022220000000000
χ29222222-2-22-2-2222-2-2-2-222-200000000-2222-2-2-2-22200000000000000000000-2222220000-2-2-2-200000000000000
χ30222222-2-22-2-2222-2-2-2-222-200000000-2222-2-2-2-22200000000000000000000-22-2-2-2-20000222200000000000000
χ312222-2-2222-2-2-2-22222222-222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-2-2-222000000002200000000000000000000000000
χ322222-2-2222-2-2-2-22222222-2-2-22222-2-222-2-2-2-2-2-2-2-20000-2-22222-2-2000000002200000000000000000000000000
χ332222-2-222-12222-1-1-1-1-1-1-1-22222-2-2-2-2-2-21111-1-1-1-122-2-2-1-1-1-11111-1-1-1-111111100000000000000002-2-1-1110000
χ342222-2-222-12222-1-1-1-1-1-1-1-22222-2-2-2-2-2-21111-1-1-1-1-2-222-1-1-1-111111111-1-1-1-1110000000000000000-2211-1-10000
χ352222-2-222-12222-1-1-1-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-122-2-21111-1-1-1-1-1-1-1-11111110000000000000000-2211-1-10000
χ362222-2-222-12222-1-1-1-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-1-2-2221111-1-1-1-11111-1-1-1-11100000000000000002-2-1-1110000
χ372222-2-222-1-2-2-2-2-1-1-1-1-1-1-1-222-2-2-2-22222111111110000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3-1-1000000000000000000i3−i3−i3i30000
χ382222-2-222-1-2-2-2-2-1-1-1-1-1-1-1-222-2-2-2-22222111111110000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3-1-1000000000000000000−i3i3i3−i30000
χ392222-2-222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-22222-2-22211111111000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3-1-1000000000000000000−i3i3i3−i30000
χ402222-2-222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-22222-2-22211111111000011-1-1-1-111−i3−i3i3i3i3i3−i3−i3-1-1000000000000000000i3−i3−i3i30000
χ412222-2-2-2-2222-2-22-2-2-2-222200000000-22-2-22222-2-200000000000000000000-22000022-2-20000-2-2220000000000
χ422222-2-2-2-2222-2-22-2-2-2-222200000000-22-2-22222-2-200000000000000000000-220000-2-222000022-2-20000000000
χ432222-2-2-2-22-2-2222-2-2-2-2222000000002-2-2-222-2-222000000000000000000002-222-2-20000-2-22200000000000000
χ442222-2-2-2-22-2-2222-2-2-2-2222000000002-2-2-222-2-222000000000000000000002-2-2-222000022-2-200000000000000
χ452-2-22002-222-22-2-222-2-22-2000002-22-20000002-22-2000000002-22-20000000000002-22-200002-22-2000000000000
χ462-2-22002-222-22-2-222-2-22-2000002-22-20000002-22-2000000002-22-2000000000000-22-220000-22-22000000000000
χ472-2-22002-222-22-2-222-2-22-200000-22-220000002-22-200000000-22-220000000000002-2-2200002-2-22000000000000
χ482-2-22002-222-22-2-222-2-22-200000-22-220000002-22-200000000-22-22000000000000-222-20000-222-2000000000000
χ492-2-22002-22-22-22-222-2-22-2000002-2-22000000-22-22000000002-2-2200000000002-200002-22-200002-20000000000
χ502-2-22002-22-22-22-222-2-22-2000002-2-22000000-22-22000000002-2-220000000000-220000-22-220000-220000000000
χ512-2-22002-22-22-22-222-2-22-200000-222-2000000-22-2200000000-222-200000000002-20000-222-20000-220000000000
χ522-2-22002-22-22-22-222-2-22-200000-222-2000000-22-2200000000-222-20000000000-2200002-2-2200002-20000000000
χ532-2-2200-2222-2-22-2-2-2222-202-22-200000000002-2-2200002-22-2000000000000002-2002-200-2200-22000000000000
χ542-2-2200-2222-2-22-2-2-2222-202-22-200000000002-2-2200002-22-200000000000000-2200-22002-2002-2000000000000
χ552-2-2200-2222-2-22-2-2-2222-20-22-2200000000002-2-220000-22-22000000000000002-200-2200-22002-2000000000000
χ562-2-2200-2222-2-22-2-2-2222-20-22-2200000000002-2-220000-22-2200000000000000-22002-2002-200-22000000000000
χ572-2-2200-222-222-2-2-2-2222-202-2-220000000000-222-200002-2-2200000000000000002-2002-200-2200-220000000000
χ582-2-2200-222-222-2-2-2-2222-202-2-220000000000-222-200002-2-220000000000000000-2200-22002-2002-20000000000
χ592-2-2200-222-222-2-2-2-2222-20-222-20000000000-222-20000-222-200000000000000002-200-2200-22002-20000000000
χ602-2-2200-222-222-2-2-2-2222-20-222-20000000000-222-20000-222-20000000000000000-22002-2002-200-220000000000
χ61444444-4-4-244-4-4-22222-2-2-4000000004-4-2-222-2-22200000000000000000000-2200000000000000000000000000
χ62444444-4-4-2-4-444-22222-2-2-400000000-44-2-22222-2-2000000000000000000002-200000000000000000000000000
χ634444-4-4-4-4-244-4-4-22222-2-2400000000-4422-2-2-2-222000000000000000000002-200000000000000000000000000
χ644444-4-4-4-4-2-4-444-22222-2-24000000004-422-2-222-2-200000000000000000000-2200000000000000000000000000
χ654-44-44-40040000-40000-44000000000004-40000002-22-2000000002-22-22-22-20000000000000000000000000000
χ664-44-44-40040000-40000-44000000000004-4000000-22-2200000000-22-22-22-220000000000000000000000000000
χ674-44-44-400-2000022i3−2i32i3−2i32-200000000000-222i3−2i300002-22-200000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000000
χ684-44-44-400-2000022i3−2i32i3−2i32-200000000000-222i3−2i30000-22-22000000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000000
χ694-44-44-400-200002−2i32i3−2i32i32-200000000000-22−2i32i300002-22-200000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000
χ704-44-44-400-200002−2i32i3−2i32i32-200000000000-22−2i32i30000-22-22000000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000
χ714-44-4-440040000-40000-4400000000000-440000002-2-22000000002-22-2-22-220000000000000000000000000000
χ724-44-4-440040000-40000-4400000000000-44000000-222-200000000-22-222-22-20000000000000000000000000000
χ734-44-4-4400-2000022i3−2i32i3−2i32-2000000000002-2−2i32i300002-2-2200000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000
χ744-44-4-4400-2000022i3−2i32i3−2i32-2000000000002-2−2i32i30000-222-2000000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000000000000
χ754-44-4-4400-200002−2i32i3−2i32i32-2000000000002-22i3−2i300002-2-2200000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000
χ764-44-4-4400-200002−2i32i3−2i32i32-2000000000002-22i3−2i30000-222-2000000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000000000000
χ774-4-44004-4-24-44-42-2-222-22000004-44-4000000-22-2200000000-22-22000000000000000000000000000000000000
χ784-4-44004-4-24-44-42-2-222-2200000-44-44000000-22-22000000002-22-2000000000000000000000000000000000000
χ794-4-44004-4-2-44-442-2-222-22000004-4-440000002-22-200000000-222-2000000000000000000000000000000000000
χ804-4-44004-4-2-44-442-2-222-2200000-444-40000002-22-2000000002-2-22000000000000000000000000000000000000
χ814-4-4400-44-24-4-44222-2-2-2204-44-40000000000-222-20000-22-220000000000000000000000000000000000000000
χ824-4-4400-44-24-4-44222-2-2-220-44-440000000000-222-200002-22-20000000000000000000000000000000000000000
χ834-4-4400-44-2-444-4222-2-2-2204-4-4400000000002-2-220000-222-20000000000000000000000000000000000000000
χ844-4-4400-44-2-444-4222-2-2-220-444-400000000002-2-2200002-2-220000000000000000000000000000000000000000
χ8588-8-800008000080000-8-80000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-80000-40000-44i3−4i3−4i34i3440000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-80000-40000-4−4i34i34i3−4i3440000000000000000000000000000000000000000000000000000000000000000000

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