Finite Group Databasebeta

← Group #11895841

Character table — Group #11895841

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order1222334466666634466612121212121224121212121212121212228888666612121212444446688121224242424242424244444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11111111111-1-11-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-111-1-111111111-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111111-1-1-1-1-1-111-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-11-1-1-1
χ811111111111111111111111111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-111-1111
χ9111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-111-1-1-1-111-1-111-1-11-111-11-1-1
χ10111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-11111-1-1-11-1-11-111
χ11111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-11-1-111-11
χ12111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-11-1-11111-1-111-1-1111-111-1-11-1
χ13111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-111-11111-11-1
χ14111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-111-1-1111-1-1-1-11-11
χ15111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-11-1-1-1-11111-1-111-1-11-1-1-1-1-111
χ16111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-11111-1-1-111111-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-20022-222-2-2-2-2000000000000002200000000000000000-2200-2000
χ18222222-2-222222222-2222-2-2-2-2-2-20022-222-2-2-2-200000000000000-2-2000000000000000002-2002000
χ19222222-2-22222222-22222-222-2-2-200-2-22-2-222-2-2000000000000002200000000000000000-2-2002000
χ20222222-2-22222222-22222-222-2-2-200-2-22-2-222-2-200000000000000-2-2000000000000000002200-2000
χ2122222-1222-12-1-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-12200222-1-1-12-1-1-100200-1-120-1-10000-1-1-1-100000000
χ2222222-1222-12-1-12-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1-2-200-2-22-1-1-12-1-1-100-20011-20110000111100000000
χ2322222-1222-12-1-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-12200-2-2-2111-211100200-1-1-20-1-10000111100000000
χ2422222-1222-12-1-12-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-1-2-20022-2111-211100-2001120110000-1-1-1-100000000
χ2522222-1222-12-1-12-1-2-2-1-1-1-11122-12-2-21-21111-1-12200222-1-1-1-211100-200-1-1-20110000-1-11100000000
χ2622222-1222-12-1-12-1-2-2-1-1-1-11122-12-2-21-21111-1-1-2-200-2-22-1-1-1-2111002001120-1-1000011-1-100000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-11122-1-22-21-21111-1-12200-2-2-21112-1-1-100-200-1-12011000011-1-100000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-11122-1-22-21-21111-1-1-2-20022-21112-1-1-10020011-20-1-10000-1-11100000000
χ292222-1222-12-122-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-1002200-12-1-1-12-1-100022000200-1-1-1-1000000000-1-10
χ302222-1222-12-122-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-100-2-200-12-1-1-12-1-1000-2-2000-2001111000000000110
χ312222-1222-12-122-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-10022001-2111-211000-2-2000200-1-1-1-1000000000110
χ322222-1222-12-122-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-100-2-2001-2111-21100022000-2001111000000000-1-10
χ332222-1222-12-122-1-1-2-2-1-1-12-2-2-1-122-21-211111-1-1002200-12-1-11-2110002-2000-200-1-111000000000-110
χ342222-1222-12-122-1-1-2-2-1-1-12-2-2-1-122-21-211111-1-100-2-200-12-1-11-211000-2200020011-1-10000000001-10
χ352222-1222-12-122-1-1-2-2-1-1-12-2-2-1-12-221-211111-1-10022001-211-12-1-1000-22000-200-1-1110000000001-10
χ362222-1222-12-122-1-1-2-2-1-1-12-2-2-1-12-221-211111-1-100-2-2001-211-12-1-10002-200020011-1-1000000000-110
χ372-22-222-22-2-222-2-2200-2-22-2002-220000000002-22-22i−2i0000000000000002-200002i−2i000000002i−2i0000
χ382-22-222-22-2-222-2-2200-2-22-2002-220000000002-22-2−2i2i0000000000000002-20000−2i2i00000000−2i2i0000
χ392-22-222-22-2-222-2-2200-2-22-2002-220000000002-2-222i−2i000000000000000-2200002i−2i00000000−2i2i0000
χ402-22-222-22-2-222-2-2200-2-22-2002-220000000002-2-22−2i2i000000000000000-220000−2i2i000000002i−2i0000
χ4144444-2-4-44-24-2-24-24-4-2-2-2222-4-42004-2-4-2-2222200000000000000000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-44-2-2-22-2-2-4-4200-42422-2-22200000000000000000000000000000000000000000
χ434444-24-4-4-24-244-2-24-4-2-2-2-4-4-422-400-242-2-2222200000000000000000000000000000000000000000
χ444444-24-4-4-24-244-2-2-44-2-2-2-44422-4002-4-222-2-22200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-244-2-2-2111111000000-2-211-2-211000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-4-4-2-2-211111100000022-1-122-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-222-2-2-24-4222-1-1-1-111000000-2-21122-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-222-2-2-2-44222-1-1-1-11100000022-1-1-2-211000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-411122222200-2-2211-1-1-1-1000000003-3003-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-411122222200-2-2211-1-1-1-100000000-3300-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-441112-2-22220022-2-1-111-1-1000000003-300-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112-2-22220022-2-1-111-1-100000000-33003-3000000000000000000000000000
χ5344-4-4440044-4-4-4-44004-4-400000000000000000000022−220000000000000000000000022−220000000000
χ5444-4-4440044-4-4-4-44004-4-4000000000000000000000−222200000000000000000000000−22220000000000
χ5544-4-44-2004-2-422-4-200-222023−23000000000023−2300000022−2200000000000000000000000−226−600000000
χ5644-4-44-2004-2-422-4-200-222023−23000000000023−23000000−2222000000000000000000000002−2−6600000000
χ5744-4-44-2004-2-422-4-200-2220−23230000000000−232300000022−2200000000000000000000000−22−6600000000
χ5844-4-44-2004-2-422-4-200-2220−23230000000000−2323000000−2222000000000000000000000002−26−600000000
χ594-44-4444-4-4-444-4-4400-4-44400-44-4000000000-4400000000000000000000000000000000000000000
χ604-44-44-24-4-424-22-4-20022-2-200-4420000000002-20000000000000000000000023−230000000000000000
χ614-44-44-24-4-424-22-4-20022-2-200-4420000000002-200000000000000000000000−23230000000000000000
χ624-44-44-2-44-424-22-4-20022-22004-4-2000000000-224-400000000000000000-2200000000000000000000
χ634-44-44-2-44-424-22-4-20022-22004-4-2000000000-22-44000000000000000002-200000000000000000000
χ644-44-4-244-42-4-24-42-20022-24002-2-40000000002-200000000000000000000000000023−23000000000000
χ654-44-4-244-42-4-24-42-20022-24002-2-40000000002-2000000000000000000000000000−2323000000000000
χ664-44-4-24-442-4-24-42-20022-2-400-224000000000-22004i−4i000000000000000000000−2i2i00000000000000
χ674-44-4-24-442-4-24-42-20022-2-400-224000000000-2200−4i4i0000000000000000000002i−2i00000000000000
χ684-4-444400-4-4-4-444400-44-400000000000000000000000000000004-40000000000000000000000000
χ694-4-444400-4-4-4-444400-44-40000000000000000000000000000000-440000000000000000000000000
χ7088-8-8-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400-4-444442002-2-2043−430000000000−23230000000000000000000000000000000000000000000
χ7288-8-8-4-400-4-444442002-2-20−4343000000000023−230000000000000000000000000000000000000000000
χ738-88-8-4-48-844-4-444200-2-22-4004-44000000000-2200000000000000000000000000000000000000000
χ748-88-8-4-4-8844-4-444200-2-22400-44-40000000002-200000000000000000000000000000000000000000
χ758-8-888-400-84-84-48-4004-440000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-84-88-4-4004-440000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004444-4-4200-22-2000000000006i−6i000000000000000000000000000000000000000000000
χ788-8-88-4-4004444-4-4200-22-200000000000−6i6i000000000000000000000000000000000000000000000

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