Finite Group Databasebeta

← Group #10831715

Character table — Group #10831715

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121216161616161616161616242424242424242424242424
order122222223444466666664444121212124444888812121212242424242424242422224444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1
χ911111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-111-1-11-1-1-111-1-1
χ1011111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1111-1-111
χ1111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-11111-1-1-1-1-1-11-111-1-111
χ1211111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-11111-11-1-111-1-1
χ1311111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-11111-1-1-11-1-1-1-111
χ1411111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1111-11111-1-1
χ1511111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111-111-1-1-1-111-1-1-1-1-111111-1-1
χ1611111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-1-1-11111111-1-1-1-1-111
χ17222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-2000000000000222200000000000000-2-2000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-2000000000000-2-2-2-20000000000000022000000
χ19222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-22200000000000022-2-200000000000000-22000000
χ20222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-222000000000000-2-222000000000000002-2000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-1-1-1-11111111100000000-2-21111-1-1-1-1000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211111111000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000022-1-1-1-11111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-222-2-21111-1-1-1-11111000000002-2-1-111-1-111000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-2-22211111111-1-1-1-100000000-2211-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22222-2-21111-1-1-1-1111100000000-2211-1-111-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-222-2-22211111111-1-1-1-1000000002-2-1-11111-1-1000000000000
χ292222-2-2-2-2222-2-2222-2-2-2-200002-22-200002-200000022-2-2000022-2-2000000000000002-20000000000
χ302222-2-2-2-2222-2-2222-2-2-2-200002-22-200002-200000022-2-20000-2-22200000000000000-220000000000
χ312222-2-2-2-2222-2-2222-2-2-2-200002-22-20000-22000000-2-222000022-2-200000000000000-220000000000
χ322222-2-2-2-2222-2-2222-2-2-2-200002-22-20000-22000000-2-2220000-2-222000000000000002-20000000000
χ332-2-2222-2-22-22-22-2-22-222-20000-222-20000002i−2i000000002i2i−2i−2i2-22-2000000000000000000002i−2i0000
χ342-2-2222-2-22-22-22-2-22-222-20000-222-20000002i−2i000000002i2i−2i−2i-22-2200000000000000000000−2i2i0000
χ352-2-2222-2-22-22-22-2-22-222-20000-222-2000000−2i2i00000000−2i−2i2i2i2-22-200000000000000000000−2i2i0000
χ362-2-2222-2-22-22-22-2-22-222-20000-222-2000000−2i2i00000000−2i−2i2i2i-22-22000000000000000000002i−2i0000
χ372-2-22-2-22222-2-22-2-222-2-222-22-222-2-22-22-200002-22-200000000000000000000002-22-2000000000000
χ382-2-22-2-22222-2-22-2-222-2-222-22-222-2-2-22-2200002-22-20000000000000000000000-22-22000000000000
χ392-2-22-2-22222-2-22-2-222-2-22-22-2222-2-22-2-220000-22-2200000000000000000000002-2-22000000000000
χ402-2-22-2-22222-2-22-2-222-2-22-22-2222-2-2-222-20000-22-220000000000000000000000-222-2000000000000
χ412-2-22-2-2222-222-2-2-222-2-222-2-22-2-222000000002-2-22000000002-2-2200000000000000002-200000000
χ422-2-22-2-2222-222-2-2-222-2-222-2-22-2-222000000002-2-2200000000-222-20000000000000000-2200000000
χ432-2-22-2-2222-222-2-2-222-2-22-222-2-2-22200000000-222-2000000002-2-220000000000000000-2200000000
χ442-2-22-2-2222-222-2-2-222-2-22-222-2-2-22200000000-222-200000000-222-200000000000000002-200000000
χ452-2-22-2-222-12-2-2211-1-111-12-22-2-1-1112-22-20000-11-113−33−33−33−300000000003−33−3-11-11000000000000
χ462-2-22-2-222-12-2-2211-1-111-12-22-2-1-1112-22-20000-11-11−33−33−33−330000000000−33−33-11-11000000000000
χ472-2-22-2-222-12-2-2211-1-111-12-22-2-1-111-22-220000-11-113−33−33−33−30000000000−33−331-11-1000000000000
χ482-2-22-2-222-12-2-2211-1-111-12-22-2-1-111-22-220000-11-11−33−33−33−3300000000003−33−31-11-1000000000000
χ492-2-22-2-222-12-2-2211-1-111-1-22-22-1-1112-2-2200001-11-13−33−3−33−3300000000003−3−33-111-1000000000000
χ502-2-22-2-222-12-2-2211-1-111-1-22-22-1-1112-2-2200001-11-1−33−333−33−30000000000−333−3-111-1000000000000
χ512-2-22-2-222-12-2-2211-1-111-1-22-22-1-111-222-200001-11-13−33−3−33−330000000000−333−31-1-11000000000000
χ522-2-22-2-222-12-2-2211-1-111-1-22-22-1-111-222-200001-11-1−33−333−33−300000000003−3−331-1-11000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-4222200000000-2-22200000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422220000000022-2-200000000000000000000000000000000000000
χ554444-4-4-4-44-4-444444-4-4-4-40000-44-4400000000000000000000000000000000000000000000000000
χ564444-4-4-4-4-244-4-4-2-2-222220000-22-2200004-4000000-2-2220000000000000000000000000000000000
χ574444-4-4-4-4-244-4-4-2-2-222220000-22-220000-4400000022-2-20000000000000000000000000000000000
χ584444-4-4-4-4-2-4-444-2-2-2222200002-22-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ594444-4-4-4-4-2-4-444-2-2-2222200002-22-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ6044-4-44-44-4400004-4-444-4-400000000000000000000000000000000004i−4i0000000000000000000000
χ6144-4-44-44-4400004-4-444-4-40000000000000000000000000000000000−4i4i0000000000000000000000
χ6244-4-4-44-44400004-4-4-4-4440000000000000000000000000000000000000000000000000000000022−22
χ6344-4-4-44-44400004-4-4-4-44400000000000000000000000000000000000000000000000000000000−2222
χ644-44-44-4-4440000-44-4-44-4400000000000000000000000000000000000000000000000000000022−2200
χ654-44-44-4-4440000-44-4-44-44000000000000000000000000000000000000000000000000000000−222200
χ664-44-4-444-440000-44-44-44-4000000000000000000000000000000004i−4i000000000000000000000000
χ674-44-4-444-440000-44-44-44-400000000000000000000000000000000−4i4i000000000000000000000000
χ684-4-4444-4-444-44-4-4-44-444-400004-4-4400000000000000000000000000000000000000000000000000
χ694-4-4444-4-4-24-44-422-22-2-220000-222-200000000000023−23−23230000000000000000000000000000000000
χ704-4-4444-4-4-24-44-422-22-2-220000-222-2000000000000−232323−230000000000000000000000000000000000
χ714-4-4444-4-4-2-44-4422-22-2-2200002-2-220000004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ724-4-4444-4-4-2-44-4422-22-2-2200002-2-22000000−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ734-4-44-4-444-2-444-422-2-222-24-4-4422-2-200000000-222-200000000000000000000000000000000000000
χ744-4-44-4-444-2-444-422-2-222-2-444-422-2-2000000002-2-2200000000000000000000000000000000000000
χ7588-8-88-88-8-40000-444-4-4440000000000000000000000000000000000000000000000000000000000
χ7688-8-8-88-88-40000-44444-4-40000000000000000000000000000000000000000000000000000000000
χ778-88-88-8-88-400004-444-44-40000000000000000000000000000000000000000000000000000000000
χ788-88-8-888-8-400004-44-44-440000000000000000000000000000000000000000000000000000000000

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