Finite Group Databasebeta

← Group #10826787

Character table — Group #10826787

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444444444466668888888888888888888888121212121212161616161616161624242424242424244848
order1222222222366622444444666666444422444466666612121212121212121212222244441212121212122444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-11-1-1-1-1111-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-111
χ5111111111111111111-1-1-1-111111111111111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-111
χ7111111111111111111-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-11111-111-1-1
χ911111111111111-1-1-1-1111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-11111111-1-1-111-1-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-111-1-11111-1-111111111-11-1-1-1-111-1-1-111-1-1-1-11
χ1111111111111111-1-1-1-11111111111-1-1-1-11-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11-1-111111-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1
χ1311111111111111-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-111-111-1-1-111-11
χ1411111111111111-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-1-111-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1111-1-1111-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-11111-1-1111-1-11-1-1-11
χ172222222222-1-1-1-122222222-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-10000000000
χ182222222222-1-1-1-122222222-1-1-1-1-1-10000-2-2-2-222-1-11111-1-1-1-1-1-11111000000-2-2-1-111110000000000
χ192222222222-1-1-1-12222-2-2-2-2-1-1-1-1-1-100002222-2-2-1-1-1-1-1-1-1-11111-1-1-1-1000000-2-21111110000000000
χ202222222222-1-1-1-12222-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-2-2-1-11111-1-1111111110000002211-1-1-1-10000000000
χ212222222222-1-1-1-1-2-2-2-22222-1-1-1-1-1-100002-22-2-2-211-1-11111-1-1-1-1-1-1110000002-211-1-1110000000000
χ222222222222-1-1-1-1-2-2-2-22222-1-1-1-1-1-10000-22-22-2-21111-1-111-1-1-1-111-1-1000000-221111-1-10000000000
χ232222222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-100002-22-22211-1-111111111-1-111000000-22-1-111-1-10000000000
χ242222222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000-22-22221111-1-111111111-1-10000002-2-1-1-1-1110000000000
χ2522222-2-2-2-22222222-2-200002-2-22-2-22222000000220000-2-2000000000000-2-200000000-2000020000
χ2622222-2-2-2-22222222-2-200002-2-22-2-2-2-2-2-2000000220000-2-2000000000000220000000020000-20000
χ2722222-2-2-2-222222-2-22200002-2-22-2-22222000000-2-2000022000000000000-2-20000000020000-20000
χ2822222-2-2-2-222222-2-22200002-2-22-2-2-2-2-2-2000000-2-20000220000000000002200000000-2000020000
χ292222-22-22-2-2222200000000-22-2-22-222-2-2020-20000002200000000-2-200002-2000000000002-200000
χ302222-22-22-2-2222200000000-22-2-22-222-2-20-202000000-2-2000000002200002-200000000000-2200000
χ312222-22-22-2-2222200000000-22-2-22-2-2-222020-20000002200000000-2-20000-2200000000000-2200000
χ322222-22-22-2-2222200000000-22-2-22-2-2-2220-202000000-2-200000000220000-22000000000002-200000
χ332222-2-22-22-2222200000000-2-22-2-2222-2-220-2000002200000000-2-2000000-220000000002-20000000
χ342222-2-22-22-2222200000000-2-22-2-2222-2-2-20200000-2-20000000022000000-22000000000-220000000
χ352222-2-22-22-2222200000000-2-22-2-22-2-22220-2000002200000000-2-20000002-2000000000-220000000
χ362222-2-22-22-2222200000000-2-22-2-22-2-222-20200000-2-200000000220000002-20000000002-20000000
χ372-2-22-222-2-222-2-222-22-222-2-2-2-2-2222000000002-22-200002-222-2-20000000000002-200000000000000
χ382-2-22-222-2-222-2-222-22-2-2-222-2-2-222200000000-222-200002-2-2-222000000000000-2200000000000000
χ392-2-22-222-2-222-2-22-22-2222-2-2-2-2-222200000000-22-220000-2222-2-2000000000000-2200000000000000
χ402-2-22-222-2-222-2-22-22-22-2-222-2-2-2222000000002-2-220000-22-2-2220000000000002-200000000000000
χ412-2-22-222-2-22-111-12-22-222-2-2111-1-1-1000000002-2-11−i3i3−i3i3-11-1-111−i3i3−i3i300000000-11−i3i3−i3i30000000000
χ422-2-22-222-2-22-111-12-22-222-2-2111-1-1-1000000002-2-11i3−i3i3−i3-11-1-111i3−i3i3−i300000000-11i3−i3i3−i30000000000
χ432-2-22-222-2-22-111-12-22-2-2-222111-1-1-100000000-22-11−i3i3−i3i3-1111-1-1−i3i3−i3i3000000001-1i3−i3i3−i30000000000
χ442-2-22-222-2-22-111-12-22-2-2-222111-1-1-100000000-22-11i3−i3i3−i3-1111-1-1i3−i3i3−i3000000001-1−i3i3−i3i30000000000
χ452-2-22-222-2-22-111-1-22-2222-2-2111-1-1-100000000-221-1−i3i3i3−i31-1-1-111−i3i3i3−i3000000001-1−i3i3i3−i30000000000
χ462-2-22-222-2-22-111-1-22-2222-2-2111-1-1-100000000-221-1i3−i3−i3i31-1-1-111i3−i3−i3i3000000001-1i3−i3−i3i30000000000
χ472-2-22-222-2-22-111-1-22-22-2-222111-1-1-1000000002-21-1−i3i3i3−i31-111-1-1−i3i3i3−i300000000-11i3−i3−i3i30000000000
χ482-2-22-222-2-22-111-1-22-22-2-222111-1-1-1000000002-21-1i3−i3−i3i31-111-1-1i3−i3−i3i300000000-11−i3i3i3−i30000000000
χ492-2-22-2-2-22222-2-222-2-220000-2222-2-200000000002-20000-220000000022-2-200000000000000002-200
χ502-2-22-2-2-22222-2-222-2-220000-2222-2-200000000002-20000-2200000000-2-2220000000000000000-2200
χ512-2-22-2-2-22222-2-22-222-20000-2222-2-20000000000-2200002-20000000022-2-20000000000000000-2200
χ522-2-22-2-2-22222-2-22-222-20000-2222-2-20000000000-2200002-200000000-2-22200000000000000002-200
χ5344444-4-4-4-44-2-2-2-244-4-40000-222-2220000000000-2-200002200000000000000000000000000000000
χ5444444-4-4-4-44-2-2-2-2-4-4440000-222-2220000000000220000-2-200000000000000000000000000000000
χ554444-44-44-4-4-2-2-2-2000000002-222-220000040-4000000-2-20000000022000000000000000000000000
χ564444-44-44-4-4-2-2-2-2000000002-222-2200000-4040000002200000000-2-2000000000000000000000000
χ574444-4-44-44-4-2-2-2-20000000022-222-2000040-400000-2-2000000002200000000000000000000000000
χ584444-4-44-44-4-2-2-2-20000000022-222-20000-404000002200000000-2-200000000000000000000000000
χ5944-4-400000044-4-400002i−2i2i−2i000000004i−4i000000000000002i−2i2i−2i00002-22-200000000000000000000
χ6044-4-400000044-4-400002i−2i2i−2i00000000−4i4i000000000000002i−2i2i−2i0000-22-2200000000000000000000
χ6144-4-400000044-4-40000−2i2i−2i2i000000004i−4i00000000000000−2i2i−2i2i0000-22-2200000000000000000000
χ6244-4-400000044-4-40000−2i2i−2i2i00000000−4i4i00000000000000−2i2i−2i2i00002-22-200000000000000000000
χ634-44-40000004-44-400002i−2i−2i2i0000004i−4i00000000000000002i−2i−2i2i00002-2-2200000000000000000000
χ644-44-40000004-44-400002i−2i−2i2i000000−4i4i00000000000000002i−2i−2i2i0000-222-200000000000000000000
χ654-44-40000004-44-40000−2i2i2i−2i0000004i−4i0000000000000000−2i2i2i−2i0000-222-200000000000000000000
χ664-44-40000004-44-40000−2i2i2i−2i000000−4i4i0000000000000000−2i2i2i−2i00002-2-2200000000000000000000
χ674-4-4444-4-44-44-4-44000000004-44-44-400000000000000000000000000000000000000000000000000
χ684-4-4444-4-44-4-222-200000000-22-22-2200000000000000−2i32i3000000002i3−2i3000000000000000000000000
χ694-4-4444-4-44-4-222-200000000-22-22-22000000000000002i3−2i300000000−2i32i3000000000000000000000000
χ704-4-444-444-4-44-4-440000000044-4-4-4400000000000000000000000000000000000000000000000000
χ714-4-444-444-4-4-222-200000000-2-2222-2000000000000−2i32i3000000002i3−2i300000000000000000000000000
χ724-4-444-444-4-4-222-200000000-2-2222-20000000000002i3−2i300000000−2i32i300000000000000000000000000
χ734-4-44-4-4-4444-222-24-4-4400002-2-2-2220000000000-2200002-200000000000000000000000000000000
χ744-4-44-4-4-4444-222-2-444-400002-2-2-22200000000002-20000-2200000000000000000000000000000000
χ7588-8-8000000-4-44400004i−4i4i−4i000000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ7688-8-8000000-4-4440000−4i4i−4i4i0000000000000000000000002i−2i2i−2i0000000000000000000000000000
χ778-88-8000000-44-4400004i−4i−4i4i000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ788-88-8000000-44-440000−4i4i4i−4i0000000000000000000000002i−2i−2i2i0000000000000000000000000000

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