Finite Group Databasebeta

← Group #10833359

Character table — Group #10833359

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444444444466668888888888888888888888121212121212161616161616161624242424242424244848
order12222234444666224444446612121212224424446666881212121212121212121212122444442668242424242444448848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-1-1-1111-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111
χ5111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-11-1-111
χ7111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-11-1-111-111-1-1-1-1-1-11
χ1011111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1
χ1111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1111-11
χ1311111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-111-1-1-1111-1
χ1411111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-111-111-11
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-11-1-1111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-111111111-1-11-1-11-1
χ172222222-2-2-2-22220000000022-2-2-2-222-2-2002-2000000000022-2-200002-20000000000000002-200000
χ182222222-2-2-2-22220000000022-2-2-2-222-2-200-220000000000-2-22200002-2000000000000000-2200000
χ192222222-2-2-2-22220000000022-2-2-2-2-2-222002-2000000000022-2-20000-22000000000000000-2200000
χ202222222-2-2-2-22220000000022-2-2-2-2-2-22200-220000000000-2-2220000-220000000000000002-200000
χ21222222-12222-1-1-122222222-1-1-1-1-1-100002222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000002-1-12-1-1-1-10000000000
χ22222222-12222-1-1-122222222-1-1-1-1-1-10000-2-2-2-2-1-11122-1-1111111-1-1-1-1000000-211-2-1-1110000000000
χ23222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-100002222-1-1-1-1-2-2-1-1-1-1-1-1-1-11111000000-211-211110000000000
χ24222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-1-111-2-2-1-111111111110000002-1-1211-1-10000000000
χ25222222-12222-1-1-1-2-2-2-22222-1-1-1-1-1-1000022-2-211-1-1-2-211-1-11111-1-1-1-1000000-211211-1-10000000000
χ26222222-12222-1-1-1-2-2-2-22222-1-1-1-1-1-10000-2-2221111-2-21111-1-1-1-1-1-1-1-10000002-1-1-211110000000000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1000022-2-211-1-12211-1-1111111110000002-1-1-2-1-1110000000000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000-2-2221111221111-1-1-1-11111000000-2112-1-1-1-10000000000
χ292222-2-222-2-2222200000000-2-22-22-222222-20000220000-2-200000000-2-200000000000002-20000000
χ302222-2-222-2-2222200000000-2-22-22-22222-220000-2-200002200000000-2-20000000000000-220000000
χ312222-2-222-2-2222200000000-2-22-22-2-2-2-2-22-20000220000-2-200000000220000000000000-220000000
χ322222-2-222-2-2222200000000-2-22-22-2-2-2-2-2-220000-2-2000022000000002200000000000002-20000000
χ332222-2-22-222-222222-2-20000-2-2-22-2222-2-20000220000-2-20000000000-2200000000000020000-20000
χ342222-2-22-222-222222-2-20000-2-2-22-22-2-2220000220000-2-200000000002-2000000000000-2000020000
χ352222-2-22-222-2222-2-2220000-2-2-22-2222-2-20000-2-20000220000000000-22000000000000-2000020000
χ362222-2-22-222-2222-2-2220000-2-2-22-22-2-2220000-2-200002200000000002-200000000000020000-20000
χ372-2-222-2222-2-2-2-222-22-200002-22-2-22000000002-200002-20000000000002i2i−2i−2i000000000000002i−2i00
χ382-2-222-2222-2-2-2-222-22-200002-22-2-22000000002-200002-2000000000000−2i−2i2i2i00000000000000−2i2i00
χ392-2-222-2222-2-2-2-22-22-2200002-22-2-2200000000-220000-220000000000002i2i−2i−2i00000000000000−2i2i00
χ402-2-222-2222-2-2-2-22-22-2200002-22-2-2200000000-220000-22000000000000−2i−2i2i2i000000000000002i−2i00
χ412-2-22-222-22-22-2-222-2-2222-2-2-22-2-222000000002-2002-2-2200000022-2-200000000002-2000000000000
χ422-2-22-222-22-22-2-222-2-22-2-222-22-2-222000000002-200-22-22000000-2-2220000000000-22000000000000
χ432-2-22-222-22-22-2-22-222-222-2-2-22-2-22200000000-2200-222-200000022-2-20000000000-22000000000000
χ442-2-22-222-22-22-2-22-222-2-2-222-22-2-22200000000-22002-22-2000000-2-22200000000002-2000000000000
χ452-2-22-22-1-22-2211-12-2-2222-2-21-111-1-100000000-11−i3i32-21-1−i3i3−i3i3−i3i3-1-1110000000−i3i30-11−i3i30000000000
χ462-2-22-22-1-22-2211-12-2-2222-2-21-111-1-100000000-11i3−i32-21-1i3−i3i3−i3i3−i3-1-1110000000i3−i30-11i3−i30000000000
χ472-2-22-22-1-22-2211-12-2-22-2-2221-111-1-100000000-11−i3i3-221-1−i3i3−i3i3−i3i311-1-10000000i3−i301-1i3−i30000000000
χ482-2-22-22-1-22-2211-12-2-22-2-2221-111-1-100000000-11i3−i3-221-1i3−i3i3−i3i3−i311-1-10000000−i3i301-1−i3i30000000000
χ492-2-22-22-1-22-2211-1-222-222-2-21-111-1-1000000001-1−i3i3-22-11−i3i3i3−i3i3−i3-1-1110000000i3−i301-1−i3i30000000000
χ502-2-22-22-1-22-2211-1-222-222-2-21-111-1-1000000001-1i3−i3-22-11i3−i3−i3i3−i3i3-1-1110000000−i3i301-1i3−i30000000000
χ512-2-22-22-1-22-2211-1-222-2-2-2221-111-1-1000000001-1−i3i32-2-11−i3i3i3−i3i3−i311-1-10000000−i3i30-11i3−i30000000000
χ522-2-22-22-1-22-2211-1-222-2-2-2221-111-1-1000000001-1i3−i32-2-11i3−i3−i3i3−i3i311-1-10000000i3−i30-11−i3i30000000000
χ53444444-2-4-4-4-4-2-2-200000000-2-222220000004-40000000000-2-2220000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-200000000-2-22222000000-44000000000022-2-20000000000000000000000000000
χ554444-4-4-24-4-44-2-2-20000000022-22-2200004-40000-2-200002200000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-20000000022-22-220000-440000220000-2-200000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-244-4-40000222-22-200000000-2-20000220000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2-4-4440000222-22-200000000220000-2-20000000000000000000000000000000000
χ5944-4-400400004-4-400002i−2i2i−2i000000004i−4i0000000000000000002i−2i2i−2i002-22-2000000000000000000
χ6044-4-400400004-4-400002i−2i2i−2i00000000−4i4i0000000000000000002i−2i2i−2i00-22-22000000000000000000
χ6144-4-400400004-4-40000−2i2i−2i2i000000004i−4i000000000000000000−2i2i−2i2i00-22-22000000000000000000
χ6244-4-400400004-4-40000−2i2i−2i2i00000000−4i4i000000000000000000−2i2i−2i2i002-22-2000000000000000000
χ634-44-40040000-44-400002i−2i−2i2i0000004-4000000000000000000002i−2i−2i2i002i−2i−2i2i000000000000000000
χ644-44-40040000-44-400002i−2i−2i2i000000-44000000000000000000002i−2i−2i2i00−2i2i2i−2i000000000000000000
χ654-44-40040000-44-40000−2i2i2i−2i0000004-400000000000000000000−2i2i2i−2i00−2i2i2i−2i000000000000000000
χ664-44-40040000-44-40000−2i2i2i−2i000000-4400000000000000000000−2i2i2i−2i002i−2i−2i2i000000000000000000
χ674-4-444-44-4-444-4-44000000004-4-444-400000000000000000000000000000000000000000000000000
χ684-4-444-4-244-4-422-24-44-40000-22-222-200000000-220000-220000000000000000000000000000000000
χ694-4-444-4-244-4-422-2-44-440000-22-222-2000000002-200002-20000000000000000000000000000000000
χ704-4-444-4-2-4-44422-200000000-222-2-220000000000−2i32i300002i3−2i300000000000000000000000000000000
χ714-4-444-4-2-4-44422-200000000-222-2-2200000000002i3−2i30000−2i32i300000000000000000000000000000000
χ724-4-44-4444-44-4-4-4400000000-4444-4-400000000000000000000000000000000000000000000000000
χ734-4-44-44-24-44-422-2000000002-2-2-222000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ744-4-44-44-24-44-422-2000000002-2-2-2220000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ7588-8-800-40000-44400004i−4i4i−4i0000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ7688-8-800-40000-4440000−4i4i−4i4i00000000000000000000000000002i−2i2i−2i000000000000000000000000
χ778-88-800-400004-4400004i−4i−4i4i0000000000000000000000000000−2i2i2i−2i000000000000000000000000
χ788-88-800-400004-440000−4i4i4i−4i00000000000000000000000000002i−2i−2i2i000000000000000000000000

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