Finite Group Databasebeta

← Group #10697945

Character table — Group #10697945

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881212121212121212161616161616161616161616161616161616484848484848
order122234444446662444121212121212612121244444444888888242424242424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ92222222-222-2222-2-22-222-222-2-22-2-200000000000000000000000000020-200
χ102222222-222-2222-2-22-222-222-2-22-2-2000000000000000000000000000-20200
χ11222222-222-22222-2-2-222-222-22-2-22-20000000000000000000000000020-2000
χ12222222-222-22222-2-2-222-222-22-2-22-200000000000000000000000000-202000
χ13222222-2-22-2-222222-2-22-2-22-2-22-2-220000000000002-20000000022-2-2000000
χ14222222-2-22-2-222222-2-22-2-22-2-22-2-22000000000000-2200000000-2-222000000
χ1522222-222-222222-22-2-2-222-222-2-2-220000000000000000000000000000002-2
χ1622222-222-222222-22-2-2-222-222-2-2-22000000000000000000000000000000-22
χ1722222-22-2-22-22222-2-22-22-2-22-22-22-2000000002-2000022-2-200000000000000
χ1822222-22-2-22-22222-2-22-22-2-22-22-22-200000000-220000-2-22200000000000000
χ1922222-2-22-2-222222-22-2-2-22-2-2222-2-200000000002-200000022-2-20000000000
χ2022222-2-22-2-222222-22-2-2-22-2-2222-2-20000000000-22000000-2-2220000000000
χ2122222-2-2-2-2-2-2222-2222-2-2-2-2-2-2-22222i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ2222222-2-2-2-2-2-2222-2222-2-2-2-2-2-2-2222−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-10000000022-2-2-2-2-1-1-1-111111111000000
χ252222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-100000000-2-222-2-21111-1-1-1-11111000000
χ262222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-100000000-2-2-2-22211111111-1-1-1-1000000
χ272222-12-2-22-2-2-1-1-122-2-2-111-111-111-10000000000002-23−33−33−33−3-1-111000000
χ282222-12-2-22-2-2-1-1-122-2-2-111-111-111-10000000000002-2−33−33−33−33-1-111000000
χ292222-12-2-22-2-2-1-1-122-2-2-111-111-111-1000000000000-223−33−3−33−3311-1-1000000
χ302222-12-2-22-2-2-1-1-122-2-2-111-111-111-1000000000000-22−33−333−33−311-1-1000000
χ312222-1-22-2-22-2-1-1-12-2-221-111-11-11-11000000002-20000-1-1113−3−333−33−3000000
χ322222-1-22-2-22-2-1-1-12-2-221-111-11-11-11000000002-20000-1-111−333−3−33−33000000
χ332222-1-22-2-22-2-1-1-12-2-221-111-11-11-1100000000-22000011-1-13−3−33−33−33000000
χ342222-1-22-2-22-2-1-1-12-2-221-111-11-11-1100000000-22000011-1-1−333−33−33−3000000
χ352222-1-2-22-2-22-1-1-12-22-211-111-1-1-11100000000002-2003−3−33-1-111−333−3000000
χ362222-1-2-22-2-22-1-1-12-22-211-111-1-1-11100000000002-200−333−3-1-1113−3−33000000
χ372222-1-2-22-2-22-1-1-12-22-211-111-1-1-1110000000000-22003−3−3311-1-13−3−33000000
χ382222-1-2-22-2-22-1-1-12-22-211-111-1-1-1110000000000-2200−333−311-1-1−333−3000000
χ394444-244-444-4-2-2-2-4-44-4-2-22-2-222-22200000000000000000000000000000000
χ404444-24-444-44-2-2-2-4-4-44-22-2-22-222-2200000000000000000000000000000000
χ414444-2-444-444-2-2-2-44-4-42-2-22-2-2222-200000000000000000000000000000000
χ424444-2-4-4-4-4-4-4-2-2-2-44442222222-2-2-200000000000000000000000000000000
χ4344-4-44400-4004-4-40000400-400000022-2-222-2-2000000000000000000000000
χ4444-4-44400-4004-4-40000400-4000000-2-222-2-222000000000000000000000000
χ4544-4-44-4004004-4-40000-40040000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4644-4-44-4004004-4-40000-4004000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ474-44-4400400-4-44-4000000400-400002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ484-44-4400400-4-44-4000000400-40000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ494-44-4400-4004-44-4000000-400400002-22-2-22-22000000000000000000000000
χ504-44-4400-4004-44-4000000-40040000-22-222-22-2000000000000000000000000
χ514-4-4440400-40-4-4400000400-4000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ524-4-4440400-40-4-4400000400-400000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ534-4-4440-40040-4-4400000-4004000002-2-22-222-2000000000000000000000000
χ544-4-4440-40040-4-4400000-400400000-222-22-2-22000000000000000000000000
χ5588-8-8-4800-800-4440000-400400000000000000000000000000000000000000
χ5688-8-8-4-800800-4440000400-400000000000000000000000000000000000000
χ578-88-8-400800-84-44000000-4004000000000000000000000000000000000000
χ588-88-8-400-80084-44000000400-4000000000000000000000000000000000000
χ598-8-88-40800-8044-400000-40040000000000000000000000000000000000000
χ608-8-88-40-8008044-400000400-40000000000000000000000000000000000000

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