Finite Group Databasebeta

← Group #11889148

Character table — Group #11889148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order12223344666666344666121212121212221212121212121212124488886666666622444881212121224242424242424242224412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
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
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-111-1-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1111111-1-1-1111
χ9111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-11-1-111-1-111-1-111-1-111-11-11-1-1
χ10111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11-1-11-111-1-1-1-11111-1-1-1-11-11-111
χ11111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-11-1-11111-1-1-1-111-1-11-111-11
χ12111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-111-1-111-1-11111-11-1-11-1
χ13111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-1-1111-1-111-1-1-1-111111-11-11-1
χ14111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111111-1-1-1-111-1-111-1-1-11-11-11
χ15111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-11-1-111
χ16111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-1-111-1-11111-1-1111-111-1-1
χ17222222-2-222222222-222222-2-2-2-2002-2-2-2-222-2-200000000000000220000000000000000000-2-22000
χ18222222-2-222222222-222222-2-2-2-2002-2-2-2-222-2-200000000000000-2-2000000000000000000022-2000
χ19222222-2-22222222-22222-2-2-2-2-2-200-222-2-2-2-222000000000000002200000000000000000002-2-2000
χ20222222-2-22222222-22222-2-2-2-2-2-200-222-2-2-2-22200000000000000-2-20000000000000000000-222000
χ2122222-1222-122-1-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-10000222-12-1-1-1-1-100202200000-1-1-1-1000000000-1-10
χ2222222-1222-122-1-1-122-1-1-1222-1-1222-12-1-1-1-1-1-1-10000-2-22-12-1-1-1-1-100-20-2-2000001111000000000110
χ2322222-1222-122-1-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-1000022-21-21111100-20-2200000-1-1-1-1000000000110
χ2422222-1222-122-1-1-122-1-1-1222-1-12-2-2-12-1-1-1-1-1-1-10000-2-2-21-21111100202-2000001111000000000-1-10
χ2522222-1222-122-1-1-1-2-2-1-1-1-2-22-1-122-21-21-1-111110000222-1-21-1-11100-202-200000-1-111000000000-110
χ2622222-1222-122-1-1-1-2-2-1-1-1-2-22-1-122-21-21-1-111110000-2-22-1-21-1-1110020-220000011-1-10000000001-10
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-22-1-12-221-21-1-11111000022-212-111-1-10020-2-200000-1-1110000000001-10
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-22-1-12-221-21-1-111110000-2-2-212-111-1-100-20220000011-1-1000000000-110
χ292222-1222-12-1-122-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1222200-12-12-1-1-1-10002002-1-1-1-10000-1-1-1-100000000
χ302222-1222-12-1-122-122-1-1-1-1-1-122-1222-12-1-1-1-1-1-1-2-2-2-200-12-12-1-1-1-1000-200-211110000111100000000
χ312222-1222-12-1-122-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-122-2-2001-21-21111000200-2-1-1-1-10000111100000000
χ322222-1222-12-1-122-122-1-1-1-1-1-122-1-2-22-12-1-1-1-1-1-1-2-222001-21-21111000-200211110000-1-1-1-100000000
χ332222-1222-12-1-122-1-2-2-1-1-111-122-12-2-21-2-1-11111222200-121-2-1-111000-200-2-1-1110000-1-11100000000
χ342222-1222-12-1-122-1-2-2-1-1-111-122-12-2-21-2-1-11111-2-2-2-200-121-2-1-111000200211-1-1000011-1-100000000
χ352222-1222-12-1-122-1-2-2-1-1-111-122-1-22-21-2-1-1111122-2-2001-2-1211-1-1000-2002-1-111000011-1-100000000
χ362222-1222-12-1-122-1-2-2-1-1-111-122-1-22-21-2-1-11111-2-222001-2-1211-1-1000200-211-1-10000-1-11100000000
χ372-22-2222-2-222-2-2-22002-2-20022-2-2000002-200002i−2i002i−2i0000000000000002i−2i002i−2i0000002-2000000
χ382-22-2222-2-222-2-2-22002-2-20022-2-2000002-200002i−2i00−2i2i0000000000000002i−2i00−2i2i000000-22000000
χ392-22-2222-2-222-2-2-22002-2-20022-2-2000002-20000−2i2i002i−2i000000000000000−2i2i002i−2i000000-22000000
χ402-22-2222-2-222-2-2-22002-2-20022-2-2000002-20000−2i2i00−2i2i000000000000000−2i2i00−2i2i0000002-2000000
χ4144444-2-4-44-244-2-2-24-4-2-2-244-422-400-2-4222-2-22200000000000000000000000000000000000000000
χ4244444-2-4-44-244-2-2-2-44-2-2-2-4-4-422-40024-22222-2-200000000000000000000000000000000000000000
χ434444-24-4-4-24-2-244-24-4-2-2-2-2-22-4-420042-422-2-22200000000000000000000000000000000000000000
χ444444-24-4-4-24-2-244-2-44-2-2-2222-4-4200-4-242222-2-200000000000000000000000000000000000000000
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
χ474444-2-244-2-2-2-2-2-21-4-411122-2-2-2-24-422211-1-1-1-1000000-2-22211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2-4422211-1-1-1-100000022-2-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200-222-1-111-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200-222-1-111-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111222222002-2-2-1-1-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111222222002-2-2-1-1-1-1110000000000-333-3000000000000000000000000000
χ5344-4-444004-4-4-44-4400-44-40000000000000000000−2i22i20000000000000000000000000−2i22i20000000000
χ5444-4-444004-4-4-44-4400-44-400000000000000000002i2−2i200000000000000000000000002i2−2i20000000000
χ5544-4-4-2400-2-4224-4-2002-22−2i32i300000000000−2i32i30000−2i22i20000000000000000000000000i2−i26−600000000
χ5644-4-4-2400-2-4224-4-2002-22−2i32i300000000000−2i32i300002i2−2i20000000000000000000000000−i2i2−6600000000
χ5744-4-4-2400-2-4224-4-2002-222i3−2i3000000000002i3−2i30000−2i22i20000000000000000000000000i2−i2−6600000000
χ5844-4-4-2400-2-4224-4-2002-222i3−2i3000000000002i3−2i300002i2−2i20000000000000000000000000−i2i26−600000000
χ594-44-444-44-444-4-4-44004-4-400-4-44400000-44000000000000000000000000000000000000000000000
χ604-44-44-24-4-4-24-422-200-222004-22-400000-22000000004i−4i0000000000000000000−2i2i00000000000000
χ614-44-44-24-4-4-24-422-200-222004-22-400000-2200000000−4i4i00000000000000000002i−2i00000000000000
χ624-44-44-2-44-4-24-422-200-22200-42-24000002-2000000000000000000000000000000023−23000000000000
χ634-44-44-2-44-4-24-422-200-22200-42-24000002-20000000000000000000000000000000−2323000000000000
χ644-44-4-244-424-22-4-4-200-22200-24-4200000-2200004i−4i0000000000000000000−2i2i000000000000000000
χ654-44-4-244-424-22-4-4-200-22200-24-4200000-220000−4i4i00000000000000000002i−2i000000000000000000
χ664-44-4-24-4424-22-4-4-200-222002-44-2000002-2000000000000000000000000000−2i32i30000000000000000
χ674-44-4-24-4424-22-4-4-200-222002-44-2000002-20000000000000000000000000002i3−2i30000000000000000
χ684-4-444400-4-4-44-44400-4-4400000000000000000000000000000004-40000000000000000000000000
χ694-4-444400-4-4-44-44400-4-440000000000000000000000000000000-440000000000000000000000000
χ7088-8-88-40084-8-8-44-4004-440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400-4444-44200-22-2−4i34i3000000000002i3−2i30000000000000000000000000000000000000000000
χ7288-8-8-4-400-4444-44200-22-24i3−4i300000000000−2i32i30000000000000000000000000000000000000000000
χ738-88-8-4-48-84-4-44442002-2-200-4-444000002-2000000000000000000000000000000000000000000000
χ748-88-8-4-4-884-4-44442002-2-20044-4-400000-22000000000000000000000000000000000000000000000
χ758-8-888-400-84-884-4-40044-40000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400444-44-4200-2-220000000000000006-600000000000000000000000000000000000000000
χ788-8-88-4-400444-44-4200-2-22000000000000000-6600000000000000000000000000000000000000000

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