Finite Group Databasebeta

← Group #11896085

Character table — Group #11896085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212442466812122424242424242424444448812126661212121244481212121212242424244444881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-1-1-11111111111-1-11-1111-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-111-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-11-1-11
χ41111111111111111111111111-111-111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-11-1-1-1111-111-1-1-1-11111-1-11-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1111111-1-11-1-111-1-1-1-11111-1-1-111-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111-11-1-1-1-11-111-1-1-1-1-1-11111-11
χ7111111111111111111111111-1-1-1-111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1111-1-1-11-1-1-111-1-111-1-11-111
χ91111111111111111111111-1-1111111111111111-1-11-1111-1-11111111-111-11-1-1-1111-1-1-1-1-1-1-1-11-11-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1-1-1-11-1111-1-1-11-1-111-1-1111111-1-1
χ121111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-11-1-1-1-1-1111111-1-1-1-1-1111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-11111-11-11111-11-1-111-1-1-1-111-1-111
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-111-111-1-111111111-1-11-1-1-1
χ151111111111111111111111-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-111-1-1-11-11
χ161111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000002-2-2002200000000000200-2-200002-200000000
χ18222222-2-22222222222-2-2-2-22200000-2-20000000000-2-22002200000000000-200-220000-2200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000000022-200-2-2000000000002002-20000-2200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-20000000000-22200-2-200000000000-2002200002-200000000
χ2122222-1222-1-122-1-1-1-1-12-1-120022222-1-1-1-122-1-1-1-1002022200-1-1-12-1-1-10220-1000-1-1-100000000-10-10
χ2222222-1222-1-122-1-1-1-1-12-1-120022222-1-1-1-122-1-1-1-100-20-2-2-200-1-1-12-1-1-10-2-201000111000000001010
χ2322222-1222-1-122-1-1-1-1-12-1-12002-222-2-1-111-2-2111100202-2-200-1-1-1-21110-220-1000-11100000000-1010
χ2422222-1222-1-122-1-1-1-1-12-1-12002-222-2-1-111-2-2111100-20-22200-1-1-1-211102-2010001-1-10000000010-10
χ2522222-1222-1-122-1-1-1-1-12-1-1200-22-2-2-2-1-111-2-2111100202-2-2001112-1-1-102-20-1000-1110000000010-10
χ2622222-1222-1-122-1-1-1-1-12-1-1200-22-2-2-2-1-111-2-2111100-20-222001112-1-1-10-22010001-1-100000000-1010
χ2722222-1222-1-122-1-1-1-1-12-1-1200-2-2-2-22-1-1-1-122-1-1-1-1002022200111-21110-2-20-1000-1-1-1000000001010
χ2822222-1222-1-122-1-1-1-1-12-1-1200-2-2-2-22-1-1-1-122-1-1-1-100-20-2-2-200111-21110220100011100000000-10-10
χ292222-1222-122-1-12-1-1-1-1-122-12222-1-12-1-122-1-1-1-1-1-12202000-1-12-1-1-12-1-120020-1-1-1000-1-10000000-100
χ302222-1222-122-1-12-1-1-1-1-122-1222-2-1-1-2-1-1-2-21111112202000-1-12-1-11-211-200-20-1-1-1000110000000100
χ312222-1222-122-1-12-1-1-1-1-122-122-2211-2-1-1-2-2111111-2-202000-1-1-211-12-1-1200-2011-1000110000000-100
χ322222-1222-122-1-12-1-1-1-1-122-122-2-2112-1-122-1-1-1-1-1-1-2-202000-1-1-2111-211-2002011-1000-1-10000000100
χ332222-1222-122-1-12-1-1-1-1-122-1-2-222-1-12-1-122-1-1-1-1-1-1-2-20-2000112-1-1-12-1-1-200-20111000110000000100
χ342222-1222-122-1-12-1-1-1-1-122-1-2-22-2-1-1-2-1-1-2-2111111-2-20-2000112-1-11-21120020111000-1-10000000-100
χ352222-1222-122-1-12-1-1-1-1-122-1-2-2-2211-2-1-1-2-2111111220-200011-211-12-1-1-20020-1-11000-1-10000000100
χ362222-1222-122-1-12-1-1-1-1-122-1-2-2-2-2112-1-122-1-1-1-1-1-1220-200011-2111-211200-20-1-11000110000000-100
χ372-2-2222-222-22-2-2-22-22-2-22-220000000-22000000002i−2i0002i−2i000000000000002i−2i002i−2i00002-2000000
χ382-2-2222-222-22-2-2-22-22-2-22-220000000-22000000002i−2i000−2i2i000000000000002i−2i00−2i2i0000-22000000
χ392-2-2222-222-22-2-2-22-22-2-22-220000000-2200000000−2i2i0002i−2i00000000000000−2i2i002i−2i0000-22000000
χ402-2-2222-222-22-2-2-22-22-2-22-220000000-2200000000−2i2i000−2i2i00000000000000−2i2i00−2i2i00002-2000000
χ4144444-2-4-44-2-244-2-2-2-2-2-422-4000000022000000000040-4000000000000000-2000200000000000000
χ4244444-2-4-44-2-244-2-2-2-2-2-422-40000000220000000000-4040000000000000002000-200000000000000
χ434444-24-4-4-244-2-24-2-2-2-22-4-4244000002200000000000-4000-2-2000000000000002000000000000000
χ444444-24-4-4-244-2-24-2-2-2-22-4-42-4-400000220000000000040002200000000000000-2000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-2411-2-2-2-21111000000000-211-2-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-4112222-1-1-1-1000000000-21122-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4112222-1-1-1-10000000002-1-1-2-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-422411-2-2-2-211110000000002-1-122-1-100000000000000000000000
χ4944-4-44400-44-44-4-444-4-400004-400000000000000000000004-4000000000000000000000000000000
χ5044-4-44400-44-44-4-444-4-40000-440000000000000000000000-44000000000000000000000000000000
χ5144-4-4-240024-4-22-4-2-22200004-40000000006−666−6−60000000-220000000000000000006−60000000000
χ5244-4-4-240024-4-22-4-2-22200004-4000000000−66−6−6660000000-22000000000000000000−660000000000
χ5344-4-4-240024-4-22-4-2-2220000-440000000006−666−6−600000002-2000000000000000000−660000000000
χ5444-4-4-240024-4-22-4-2-2220000-44000000000−66−6−66600000002-20000000000000000006−60000000000
χ554-44-44400-4-4-4-4444-4-44000000000000000000000000000000000000000000000000000000−2i22i20000
χ564-44-44400-4-4-4-4444-4-440000000000000000000000000000000000000000000000000000002i2−2i20000
χ574-4-44444-44-44-4-4-44-44-44-44-400000004-400000000000000000000000000000000000000000000000
χ584-4-444-24-442-2-4-42-22-2242-2-40000000-2223−230023−2323−23000000000000000000000000000000000000000
χ594-4-444-24-442-2-4-42-22-2242-2-40000000-22−232300−2323−2323000000000000000000000000000000000000000
χ604-4-444-2-4442-2-4-42-22-22-4-22400000002-200000000000004i−4i000000000000000000−2i2i000000000000
χ614-4-444-2-4442-2-4-42-22-22-4-22400000002-20000000000000−4i4i0000000000000000002i−2i000000000000
χ624-4-44-244-4-2-4422-4-22-22-2-4420000−2i32i30-22000000000000000000−2i32i3000000000000000000000000000
χ634-4-44-244-4-2-4422-4-22-22-2-44200002i3−2i30-220000000000000000002i3−2i3000000000000000000000000000
χ644-4-44-24-44-2-4422-4-22-2224-4-200000002-2000000004i−4i0000000000000000000−2i2i0000000000000000
χ654-4-44-24-44-2-4422-4-22-2224-4-200000002-200000000−4i4i00000000000000000002i−2i0000000000000000
χ664-4-44-2-24-4-22-22221-11-1-22-220000−2i32i301-123−2300−33−330000000000i3−i3003i−3i00000000000000000000000
χ674-4-44-2-24-4-22-22221-11-1-22-220000−2i32i301-1−2323003−33−30000000000i3−i300−3i3i00000000000000000000000
χ684-4-44-2-24-4-22-22221-11-1-22-2200002i3−2i301-123−2300−33−330000000000−i3i300−3i3i00000000000000000000000
χ694-4-44-2-24-4-22-22221-11-1-22-2200002i3−2i301-1−2323003−33−30000000000−i3i3003i−3i00000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-400-8-448-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-44-44422-2-200000000000000026−26−6−666000000000000000000000000000000000000000
χ7388-8-8-4-4004-44-44422-2-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ748-88-88-400-844-88-4-444-4000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-8-84-48-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004444-4-42-2-220000000000000000032−32−3232000000000000000000000000000000000000000
χ778-88-8-4-4004444-4-42-2-2200000000000000000−323232−32000000000000000000000000000000000000000
χ788-8-88-4-4-88-44-44442-22-24-44-40000000-2200000000000000000000000000000000000000000000000

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