Finite Group Databasebeta

← Group #10698150

Character table — Group #10698150

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881616161616161616161616161616161616162424242424242424242424244848
order122222222236662222666666666644444412121212121212121212121222444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ92222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ102222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000000000
χ112222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000000000
χ122222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000000000
χ1322222222-2-222222-2-2-22222-2-22-2-2-2000000000000000000220000-2-2000000
χ1422222222-2-222222-2-2-22222-2-22-2-2-2000000000000000000-2-2000022000000
χ15222222-2-2222222-22-2-222-2-222-22-2-200000000000000000000220000-2-20000
χ16222222-2-2222222-22-2-222-2-222-22-2-200000000000000000000-2-20000220000
χ17222222-2-2-2-22222-2-22222-2-2-2-2-2-2222-2000022-2-20000000000000000000000
χ18222222-2-2-2-22222-2-22222-2-2-2-2-2-222-220000-2-2220000000000000000000000
χ19222222-2-2-2-2-1-1-1-1-2-222-1-1111111-1-12-20000-1-11133−3−333−3−300000000000000
χ20222222-2-2-2-2-1-1-1-1-2-222-1-1111111-1-12-20000-1-111−3−333−3−33300000000000000
χ21222222-2-2-2-2-1-1-1-1-2-222-1-1111111-1-1-22000011-1-133−3−3−3−33300000000000000
χ22222222-2-2-2-2-1-1-1-1-2-222-1-1111111-1-1-22000011-1-1−3−33333−3−300000000000000
χ232222-2-222222222-2-22-2-2-22222-2-22-20000000000000000000000220000-2-200
χ242222-2-222222222-2-22-2-2-22222-2-22-20000000000000000000000-2-200002200
χ252222-2-222-2-22222-22-22-2-222-2-2-22-22002-20000002-22-2000000000000000000
χ262222-2-222-2-22222-22-22-2-222-2-2-22-2200-22000000-22-22000000000000000000
χ272222-2-222-2-2-1-1-1-1-22-2211-1-1111-11-1002-2003−33−3-11-113−33−300000000000000
χ282222-2-222-2-2-1-1-1-1-22-2211-1-1111-11-1002-200−33−33-11-11−33−3300000000000000
χ292222-2-222-2-2-1-1-1-1-22-2211-1-1111-11-100-22003−33−31-11-1−33−3300000000000000
χ302222-2-222-2-2-1-1-1-1-22-2211-1-1111-11-100-2200−33−331-11-13−33−300000000000000
χ312222-2-2-2-22222222-2-22-2-2-2-2222-2-2200002-2000000002-2-2200000000000000
χ322222-2-2-2-22222222-2-22-2-2-2-2222-2-220000-2200000000-222-200000000000000
χ332222-2-2-2-222-1-1-1-12-2-221111-1-1-111-100002-23−3−33−333−3-111-100000000000000
χ342222-2-2-2-222-1-1-1-12-2-221111-1-1-111-100002-2−333−33−3−33-111-100000000000000
χ352222-2-2-2-222-1-1-1-12-2-221111-1-1-111-10000-223−3−333−3−331-1-1100000000000000
χ362222-2-2-2-222-1-1-1-12-2-221111-1-1-111-10000-22−333−3−333−31-1-1100000000000000
χ372222-2-2-2-2-2-22222222-2-2-2-2-2-2-2222-20000000000000000000000000000002i−2i
χ382222-2-2-2-2-2-22222222-2-2-2-2-2-2-2222-2000000000000000000000000000000−2i2i
χ3944444444-4-4-2-2-2-24-4-4-4-2-2-2-222-222200000000000000000000000000000000
χ40444444-4-444-2-2-2-2-44-4-4-2-222-2-22-22200000000000000000000000000000000
χ414444-4-44444-2-2-2-2-4-44-422-2-2-2-222-2200000000000000000000000000000000
χ424444-4-4-4-4-4-4-2-2-2-2444-4222222-2-2-2200000000000000000000000000000000
χ4344-4-4004-40044-4-40000004-4000000000000000000000000002i−2i00002i−2i0000
χ4444-4-4004-40044-4-40000004-400000000000000000000000000−2i2i0000−2i2i0000
χ4544-4-400-440044-4-4000000-44000000000000000000000000002i−2i0000−2i2i0000
χ4644-4-400-440044-4-4000000-4400000000000000000000000000−2i2i00002i−2i0000
χ474-44-44-400004-44-400004-40000000000000000000000000000002i−2i00002i−2i00
χ484-44-44-400004-44-400004-4000000000000000000000000000000−2i2i0000−2i2i00
χ494-44-4-4400004-44-40000-440000000000000000000000000000002i−2i0000−2i2i00
χ504-44-4-4400004-44-40000-44000000000000000000000000000000−2i2i00002i−2i00
χ514-4-4400004-44-4-44000000004-400000000000000000000002-200002-2000000
χ524-4-4400004-44-4-44000000004-40000000000000000000000-220000-22000000
χ534-4-440000-444-4-4400000000-4400000000000000000000002-20000-22000000
χ544-4-440000-444-4-4400000000-440000000000000000000000-2200002-2000000
χ5588-8-8008-800-4-444000000-4400000000000000000000000000000000000000
χ5688-8-800-8800-4-4440000004-400000000000000000000000000000000000000
χ578-88-88-80000-44-440000-440000000000000000000000000000000000000000
χ588-88-8-880000-44-4400004-40000000000000000000000000000000000000000
χ598-8-8800008-8-444-400000000-44000000000000000000000000000000000000
χ608-8-880000-88-444-4000000004-4000000000000000000000000000000000000

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