Finite Group Databasebeta

← Group #11888686

Character table — Group #11888686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order12223344666666344666121212121212441212121212121212124488881212121212121212442446688121224242424242424242222412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-11-1-111-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1
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
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1111111-1-1-1-111-1-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1111
χ9111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11-1-1-1-11111-1-111-1-1111-1-11-1-1
χ10111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-11-1-1-11-111-1-11111-1-1-1-1-111-111
χ11111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1111-11-1-111-1-1-1-111-1-1-1111-11
χ12111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-11111-1-1-1-111-1-111111-1-1-11-1
χ13111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-1-1-111111-1-1-1-11111-111-11-1
χ14111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-1-11111-1-111-1-111-1-11-1-11-11
χ15111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-111-1-1-1-111-1-111-1-1-1-11-1-1-111
χ16111111111111111-1-11111-1-1111-11-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11-11111-1-1-1-1-11111-1-111-1111-1-1
χ17222222-2-222222222-2222-222-2-2-200-22-222-2-2-2-200000000000000220000000000000000000-22-2000
χ18222222-2-222222222-2222-222-2-2-200-22-222-2-2-2-200000000000000-2-200000000000000000002-22000
χ19222222-2-22222222-22222-2-2-2-2-2-2002-22-2-222-2-200000000000000220000000000000000000-2-22000
χ20222222-2-22222222-22222-2-2-2-2-2-2002-22-2-222-2-200000000000000-2-2000000000000000000022-2000
χ2122222-122-12-122-1-122-1-1-1-1-1-122-122-122-1-1-1-1-1-12222002-12-1-1-1-1-100200-1-102-1-10000-1-1-1-100000000
χ2222222-122-12-122-1-122-1-1-1-1-1-122-122-122-1-1-1-1-1-1-2-2-2-2002-12-1-1-1-1-100-200110-2110000111100000000
χ2322222-122-12-122-1-122-1-1-1-1-1-122-1-2-2-122-1-1-1-1-1-122-2-200-21-21111100200-1-10-2-1-10000111100000000
χ2422222-122-12-122-1-122-1-1-1-1-1-122-1-2-2-122-1-1-1-1-1-1-2-22200-21-21111100-2001102110000-1-1-1-100000000
χ2522222-122-12-122-1-1-2-2-1-1-1-11122-12-21-2-21111-1-12222002-1-21-1-11100-200110-2-1-10000-1-11100000000
χ2622222-122-12-122-1-1-2-2-1-1-1-11122-12-21-2-21111-1-1-2-2-2-2002-1-21-1-11100200-1-10211000011-1-100000000
χ2722222-122-12-122-1-1-2-2-1-1-1-11122-1-221-2-21111-1-122-2-200-212-111-1-100-2001102-1-1000011-1-100000000
χ2822222-122-12-122-1-1-2-2-1-1-1-11122-1-221-2-21111-1-1-2-22200-212-111-1-100200-1-10-2110000-1-11100000000
χ292222-12222-12-1-12-122-1-1-1222-1-12222-1-1-1-1-1-1-1-1000022-12-12-1-1-1-100022002000-1-1-1-1000000000-1-10
χ302222-12222-12-1-12-122-1-1-1222-1-12222-1-1-1-1-1-1-1-10000-2-2-12-12-1-1-1-1000-2-200-20001111000000000110
χ312222-12222-12-1-12-122-1-1-1222-1-12-2-22-1-1-1-1-1-1-1-10000221-21-21111000-2-2002000-1-1-1-1000000000110
χ322222-12222-12-1-12-122-1-1-1222-1-12-2-22-1-1-1-1-1-1-1-10000-2-21-21-211110002200-20001111000000000-1-10
χ332222-12222-12-1-12-1-2-2-1-1-12-2-2-1-122-2-2111111-1-1000022-121-2-1-111000-2200-2000-1-111000000000-110
χ342222-12222-12-1-12-1-2-2-1-1-12-2-2-1-122-2-2111111-1-10000-2-2-121-2-1-1110002-200200011-1-10000000001-10
χ352222-12222-12-1-12-1-2-2-1-1-12-2-2-1-12-22-2111111-1-10000221-2-1211-1-10002-200-2000-1-1110000000001-10
χ362222-12222-12-1-12-1-2-2-1-1-12-2-2-1-12-22-2111111-1-10000-2-21-2-1211-1-1000-2200200011-1-1000000000-110
χ372-22-2222-2-222-2-2-2200-2-222002-2-20000000002-22i−2i002i−2i000000000000000002i−2i2i−2i0000002-2000000
χ382-22-2222-2-222-2-2-2200-2-222002-2-20000000002-22i−2i00−2i2i000000000000000002i−2i−2i2i000000-22000000
χ392-22-2222-2-222-2-2-2200-2-222002-2-20000000002-2−2i2i002i−2i00000000000000000−2i2i2i−2i000000-22000000
χ402-22-2222-2-222-2-2-2200-2-222002-2-20000000002-2−2i2i00−2i2i00000000000000000−2i2i−2i2i0000002-2000000
χ4144444-2-4-4-24-244-2-24-4-2-2-22-2-2-4-420024-4-2-2222200000000000000000000000000000000000000000
χ4244444-2-4-4-24-244-2-2-44-2-2-2222-4-4200-2-4422-2-22200000000000000000000000000000000000000000
χ434444-24-4-44-24-2-24-24-4-2-2-2-44422-400-4-22-2-2222200000000000000000000000000000000000000000
χ444444-24-4-44-24-2-24-2-44-2-2-2-4-4-422-40042-222-2-22200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-244-2-2-2111111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-4-4-2-2-21111110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-222-2-2-24-4222-1-1-1-111000000-2-22211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-222-2-2-2-44222-1-1-1-11100000022-2-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-41112-2-2222002-2211-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-41112-2-2222002-2211-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-4411122222200-22-2-1-111-1-100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-4411122222200-22-2-1-111-1-10000000000-333-3000000000000000000000000000
χ5344-4-44400-4-4-44-444004-4-40000000000000000000−2i22i20000000000000000000000000−2i22i20000000000
χ5444-4-44400-4-4-44-444004-4-400000000000000000002i2−2i200000000000000000000000002i2−2i20000000000
χ5544-4-44-2002-424-4-2-200-2220−2i32i300000000−2i32i3000000−2i22i20000000000000000000000000i2−i26−600000000
χ5644-4-44-2002-424-4-2-200-2220−2i32i300000000−2i32i30000002i2−2i20000000000000000000000000−i2i2−6600000000
χ5744-4-44-2002-424-4-2-200-22202i3−2i3000000002i3−2i3000000−2i22i20000000000000000000000000i2−i2−6600000000
χ5844-4-44-2002-424-4-2-200-22202i3−2i3000000002i3−2i30000002i2−2i20000000000000000000000000−i2i26−600000000
χ594-44-444-44-444-4-4-4400-4-44-400-444000000000-4400000000000000000000000000000000000000000
χ604-44-44-24-424-2-4-42-20022-2-2004-42000000000-224i−4i000000000000000000000−2i2i0000000000000000
χ614-44-44-24-424-2-4-42-20022-2-2004-42000000000-22−4i4i0000000000000000000002i−2i0000000000000000
χ624-44-44-2-4424-2-4-42-20022-2200-44-20000000002-20000000000000000000−2i32i300000000000000000000
χ634-44-44-2-4424-2-4-42-20022-2200-44-20000000002-200000000000000000002i3−2i300000000000000000000
χ644-44-4-244-4-4-2422-4-20022-2400-22-4000000000-2200004i−4i0000000000000000000−2i2i00000000000000
χ654-44-4-244-4-4-2422-4-20022-2400-22-4000000000-220000−4i4i00000000000000000002i−2i00000000000000
χ664-44-4-24-44-4-2422-4-20022-2-4002-240000000002-200000000000000000000000000023−23000000000000
χ674-44-4-24-44-4-2422-4-20022-2-4002-240000000002-2000000000000000000000000000−2323000000000000
χ684-4-4444004-4-4-44-4400-44-400000000000000000000000000000004i−4i0000000000000000000000000
χ694-4-4444004-4-4-44-4400-44-40000000000000000000000000000000−4i4i0000000000000000000000000
χ7088-8-8-4800-84-8-448-400-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400444-44-42002-2-20−4i34i3000000002i3−2i3000000000000000000000000000000000000000000000
χ7288-8-8-4-400444-44-42002-2-204i3−4i300000000−2i32i3000000000000000000000000000000000000000000000
χ738-88-8-4-48-84-4-4444200-2-22-400-4440000000002-200000000000000000000000000000000000000000
χ748-88-8-4-4-884-4-4444200-2-224004-4-4000000000-2200000000000000000000000000000000000000000
χ758-8-888-400-4-84-884-4004-440000000000000000000000000000000000000000000000000000000000
χ768-8-88-480084-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-4444-44200-22-200000000000006-60000000000000000000000000000000000000000000
χ788-8-88-4-400-4444-44200-22-20000000000000-660000000000000000000000000000000000000000000

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