Finite Group Databasebeta

← Group #10829374

Character table — Group #10829374

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222222444444444444888888888888888888121212121212121212121212161616161616161616162424242424244848
order12222222223444466644666666121212122244444412121212121212121212222244444444446612121212121224444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-11111-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ911111111111-1-1-1-1111-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-11-11-111-1-1-1-11-11-11-1
χ1011111111111-1-1-1-1111-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-11-11-111-1-111-11-11-11
χ1111111111111-1-1-1-1111-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-1-1-11111-11-111-1
χ1211111111111-1-1-1-1111-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-111-11-1-1-111-1-11-11-1-11
χ1311111111111-1-1-1-1111-1-1111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-11-11-1-111-1-1-11-11-11
χ1411111111111-1-1-1-1111-1-1111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-11-1-111111-11-11-1
χ1511111111111-1-1-1-1111-1-1111111-1-1-1-1-11-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1111-1-1111-11-1-11
χ1611111111111-1-1-1-1111-1-1111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-1111111111-1-11-1111-1-1-1-1-11-111-1
χ172222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-100000000
χ182222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-111111111000000000000-2-2-1-1-1-1111100000000
χ192222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111111100000000
χ202222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000000000000221111-1-1-1-100000000
χ212222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-111112-22-222-2-211-1-1-1-111110000000000002-2-11-11-1-11100000000
χ222222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-111112-22-2-2-222111111-1-1-1-1000000000000-22-11-1111-1-100000000
χ232222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-11111-22-2222-2-211-1-1-1-11111000000000000-221-11-111-1-100000000
χ242222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-11111-22-22-2-222111111-1-1-1-10000000000002-21-11-1-1-11100000000
χ2522222-2-2-22-2222-2-22222-22-2-2-2-2222-2-2000000002-20000000000000000000000000000000022-2-200
χ2622222-2-2-22-2222-2-22222-22-2-2-2-2222-2-2000000002-200000000000000000000000000000000-2-22200
χ2722222-2-2-22-22-2-222222-222-2-2-2-22-2-22200000000-22000000000000000000000000000000002-2-2200
χ2822222-2-2-22-22-2-222222-222-2-2-2-22-2-22200000000-2200000000000000000000000000000000-222-200
χ292222-22-2-2-22222-2-2222-22-222-2-2-222-2-222-2-20000-22000000000000000000000022-2-2000000000000
χ302222-22-2-2-22222-2-2222-22-222-2-2-222-2-2-2-2220000-220000000000000000000000-2-222000000000000
χ312222-22-2-2-222-2-2222222-2-222-2-2-2-2-2222-2-2200002-200000000000000000000002-2-22000000000000
χ322222-22-2-2-222-2-2222222-2-222-2-2-2-2-222-222-200002-20000000000000000000000-222-2000000000000
χ332222-22-2-2-22-122-2-2-1-1-1-221-1-1111-1-11122-2-200001-133−3−333−3−300000000000000-1-1113−33−300000000
χ342222-22-2-2-22-122-2-2-1-1-1-221-1-1111-1-11122-2-200001-1−3−333−3−33300000000000000-1-111−33−3300000000
χ352222-22-2-2-22-122-2-2-1-1-1-221-1-1111-1-111-2-22200001-133−3−333−3−30000000000000011-1-1−33−3300000000
χ362222-22-2-2-22-122-2-2-1-1-1-221-1-1111-1-111-2-22200001-1−3−333−3−3330000000000000011-1-13−33−300000000
χ372222-22-2-2-22-1-2-222-1-1-12-21-1-111111-1-12-2-220000-1133−3−3−3−33300000000000000-111-13−3−3300000000
χ382222-22-2-2-22-1-2-222-1-1-12-21-1-111111-1-12-2-220000-11−3−33333−3−300000000000000-111-1−333−300000000
χ392222-22-2-2-22-1-2-222-1-1-12-21-1-111111-1-1-222-20000-1133−3−3−3−333000000000000001-1-11−333−300000000
χ402222-22-2-2-22-1-2-222-1-1-12-21-1-111111-1-1-222-20000-11−3−33333−3−3000000000000001-1-113−3−3300000000
χ412222-2-222-2-222222222-2-2-2-2-222-2222200000000-2-2000000000000220000-2-20000000000-22000000
χ422222-2-222-2-222222222-2-2-2-2-222-2222200000000-2-2000000000000-2-200002200000000002-2000000
χ432222-2-222-2-22-2-2-2-222222-2-2-222-2-2-2-2-20000000022000000000000220000-2-200000000002-2000000
χ442222-2-222-2-22-2-2-2-222222-2-2-222-2-2-2-2-20000000022000000000000-2-20000220000000000-22000000
χ4522-2-22-22-2-2220000-22-20022-22-2-2000000002i−2i00002i−2i2i−2i000022-2-22i−2i00002i−2i000000000000000000
χ4622-2-22-22-2-2220000-22-20022-22-2-2000000002i−2i00002i−2i2i−2i0000-2-222−2i2i0000−2i2i000000000000000000
χ4722-2-22-22-2-2220000-22-20022-22-2-200000000−2i2i0000−2i2i−2i2i000022-2-2−2i2i0000−2i2i000000000000000000
χ4822-2-22-22-2-2220000-22-20022-22-2-200000000−2i2i0000−2i2i−2i2i0000-2-2222i−2i00002i−2i000000000000000000
χ4922-2-2-222-22-220000-22-200-2-222-2200000000002-20000002-22-200002i−2i2i2i−2i−2i−2i2i000000000000000000
χ5022-2-2-222-22-220000-22-200-2-222-2200000000002-20000002-22-20000−2i2i−2i−2i2i2i2i−2i000000000000000000
χ5122-2-2-222-22-220000-22-200-2-222-220000000000-22000000-22-2200002i−2i−2i−2i2i2i−2i2i000000000000000000
χ5222-2-2-222-22-220000-22-200-2-222-220000000000-22000000-22-220000−2i2i2i2i−2i−2i2i−2i000000000000000000
χ5344444-4-4-44-4-244-4-4-2-2-24-4-22222-2-2-22200000000-2200000000000000000000000000000000000000
χ5444444-4-4-44-4-2-4-444-2-2-2-44-22222-222-2-2000000002-200000000000000000000000000000000000000
χ554444-4-444-4-4-24444-2-2-2-4-4222-2-22-2-2-2-2000000002200000000000000000000000000000000000000
χ564444-4-444-4-4-2-4-4-4-4-2-2-244222-2-22222200000000-2-200000000000000000000000000000000000000
χ5744-4-444-44-4-440000-44-4004-44-44-40000000000000000000000000000000000000000000000000000
χ5844-4-444-44-4-4-200002-2200-22-22-2200000000000000000023−23−2323000000000000000000000000000000
χ5944-4-444-44-4-4-200002-2200-22-22-22000000000000000000−232323−23000000000000000000000000000000
χ6044-4-44-44-4-44-200002-2200-2-22-222000000004i−4i0000−2i2i−2i2i0000000000000000000000000000000000
χ6144-4-44-44-4-44-200002-2200-2-22-22200000000−4i4i00002i−2i2i−2i0000000000000000000000000000000000
χ6244-4-4-444-44-4-200002-220022-2-22-200000000004-4000000-22-22000000000000000000000000000000
χ6344-4-4-444-44-4-200002-220022-2-22-20000000000-440000002-22-2000000000000000000000000000000
χ6444-4-4-4-4-444440000-44-400-44-4-4440000000000000000000000000000000000000000000000000000
χ6544-4-4-4-4-4444-200002-22002-222-2-200000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ6644-4-4-4-4-4444-200002-22002-222-2-2000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ674-44-40000004004i−4i4-4-400000000004i−4i0000000000000000002-22-2002i−2i2i−2i00000000000000000000
χ684-44-40000004004i−4i4-4-400000000004i−4i000000000000000000-22-2200−2i2i−2i2i00000000000000000000
χ694-44-4000000400−4i4i4-4-40000000000−4i4i0000000000000000002-22-200−2i2i−2i2i00000000000000000000
χ704-44-4000000400−4i4i4-4-40000000000−4i4i000000000000000000-22-22002i−2i2i−2i00000000000000000000
χ714-4-4400000044-400-4-44000000004-4000000000000000000002-2-22002-2-2200000000000000000000
χ724-4-4400000044-400-4-44000000004-400000000000000000000-222-200-222-200000000000000000000
χ734-4-440000004-4400-4-4400000000-44000000000000000000002-2-2200-222-200000000000000000000
χ744-4-440000004-4400-4-4400000000-4400000000000000000000-222-2002-2-2200000000000000000000
χ758-88-8000000-4008i−8i-4440000000000−4i4i000000000000000000000000000000000000000000000000
χ768-88-8000000-400−8i8i-44400000000004i−4i000000000000000000000000000000000000000000000000
χ778-8-88000000-48-80044-400000000-4400000000000000000000000000000000000000000000000000
χ788-8-88000000-4-880044-4000000004-400000000000000000000000000000000000000000000000000

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