Finite Group Databasebeta

← Group #11896091

Character table — Group #11896091

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666344666121212124448121212121212242424242424242444488121212121212121212122444668121212122424242444448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-111-1-111111111-1-1111-1-1-1111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11-1-1111-11111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-11-111-1-1-1-11-1-111-1-11111-11-1
χ5111111111111111111111111-1-111111111111111111-1111-1-111111111-1-111-1-1-1111-1-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-11-11-1-11111-111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-11-11-1-1-1-1111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111111-1-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1111-11-11111-1-1-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11111-111-111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-1111-1-111-1-1-1-1-1-111-1-111-11-1-1-1-1-111-1-111-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-11111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-20022-2-20000000000000200-200002-20000000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022220000000000000-200-20000-220000000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-2000000000000020020000-220000000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-22200-2-2220000000000000-200200002-20000000
χ2122222-122-12-122-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-1-1-102000-1-1002-1-1-1-1-12200-1-12000-1-1-100000000-100
χ2222222-122-12-122-1-122-1-1-1-12-1222-2-222-1-1-1-1-2-211111102000-1-100-21-1-1112-200-1-1-2000-11100000000100
χ2322222-122-12-122-1-122-1-1-1-12-12-2-22222-1-1-1-122-1-1-1-1-1-10-200011002-1-1-1-1-1-2-20011-200011100000000100
χ2422222-122-12-122-1-122-1-1-1-12-12-2-2-2-222-1-1-1-1-2-21111110-20001100-21-1-111-22001120001-1-100000000-100
χ2522222-122-12-122-1-1-2-2-1-1-1-12-12222-2-2-211-1-1-2-211111102000-1-1002-111-1-1-220011-2000-11100000000-100
χ2622222-122-12-122-1-1-2-2-1-1-1-12-1222-22-2-211-1-122-1-1-1-1-1-102000-1-100-211111-2-200112000-1-1-100000000100
χ2722222-122-12-122-1-1-2-2-1-1-1-12-12-2-22-2-2-211-1-1-2-21111110-200011002-111-1-12-200-1-120001-1-100000000100
χ2822222-122-12-122-1-1-2-2-1-1-1-12-12-2-2-22-2-211-1-122-1-1-1-1-1-10-20001100-2111112200-1-1-200011100000000-100
χ292222-12222-12-1-12-122-1-1-12-12-10022-1-122-1-1-1-122-1-1-1-12022200-1-1-12-1-1-1-10022000-1-1-1000-1-10000000-10
χ302222-12222-12-1-12-122-1-1-12-12-10022-1-122-1-1-1-122-1-1-1-1-20-2-2-20011-12-1-1-1-100-2-200011100011000000010
χ312222-12222-12-1-12-122-1-1-12-12-100-2-2-1-122-1-111-2-21111202-2-200-1-11-2-1-11100-22000-1-1-100011000000010
χ322222-12222-12-1-12-122-1-1-12-12-100-2-2-1-122-1-111-2-21111-20-22200111-2-1-111002-2000111000-1-10000000-10
χ332222-12222-12-1-12-1-2-2-1-1-12-12-1002-211-2-2-1-111-2-21111202-2-200-1-1-1211-1-1002-2000-111000110000000-10
χ342222-12222-12-1-12-1-2-2-1-1-12-12-1002-211-2-2-1-111-2-21111-20-2220011-1211-1-100-220001-1-1000-1-1000000010
χ352222-12222-12-1-12-1-2-2-1-1-12-12-100-2211-2-2-1-1-1-122-1-1-1-12022200-1-11-2111100-2-2000-111000-1-1000000010
χ362222-12222-12-1-12-1-2-2-1-1-12-12-100-2211-2-2-1-1-1-122-1-1-1-1-20-2-2-200111-2111100220001-1-1000110000000-10
χ372-2-22222-22-2-22-2-222i−2i2-2-2-2-22200002i−2i2i−2i-2200000000000000000002i−2i00000000000000000002-22i−2i000
χ382-2-22222-22-2-22-2-222i−2i2-2-2-2-22200002i−2i2i−2i-2200000000000000000002i−2i0000000000000000000-22−2i2i000
χ392-2-22222-22-2-22-2-22−2i2i2-2-2-2-2220000−2i2i−2i2i-220000000000000000000−2i2i00000000000000000002-2−2i2i000
χ402-2-22222-22-2-22-2-22−2i2i2-2-2-2-2220000−2i2i−2i2i-220000000000000000000−2i2i0000000000000000000-222i−2i000
χ4144444-2-4-4-24-244-2-200-2-2-22-42-44400000022000000000-4000-2-200000000000000000020000000000000
χ4244444-2-4-4-24-244-2-200-2-2-22-42-4-4-400000022000000000400022000000000000000000-20000000000000
χ434444-24-4-44-24-2-24-200-2-2-2-42-4200000000220000000040-40000220000000000000-20000000000000000
χ444444-24-4-44-24-2-24-200-2-2-2-42-42000000002200000000-4040000-2-2000000000000020000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-44400-444-4-4-4400-44-400004-40000000000000000000004-400000000000000000000000000000000
χ5044-4-44400-444-4-4-4400-44-40000-44000000000000000000000-4400000000000000000000000000000000
χ5144-4-44-20024-2-4-42-2002-2200004-400000000006−666−6−600000-2200000000000000000006−600000000000
χ5244-4-44-20024-2-4-42-2002-2200004-40000000000−66−6−66600000-220000000000000000000−6600000000000
χ5344-4-44-20024-2-4-42-2002-220000-4400000000006−666−6−6000002-20000000000000000000−6600000000000
χ5444-4-44-20024-2-4-42-2002-220000-440000000000−66−6−666000002-200000000000000000006−600000000000
χ554-44-44400-4-4-4-444400-4-440000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ564-44-44400-4-4-4-444400-4-4400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ574-44-4-2400-42-42-24-20022-2000000000000006−6006−66−6000−2i22i200−2i32i30000000000000000000i2−i2000000000
χ584-44-4-2400-42-42-24-20022-2000000000000006−6006−66−60002i2−2i2002i3−2i30000000000000000000−i2i2000000000
χ594-44-4-2400-42-42-24-20022-200000000000000−6600−66−66000−2i22i2002i3−2i30000000000000000000i2−i2000000000
χ604-44-4-2400-42-42-24-20022-200000000000000−6600−66−660002i2−2i200−2i32i30000000000000000000−i2i2000000000
χ614-4-4444-444-4-44-4-44004-4-444-4-4000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-4-2-424-42-24i−4i-2222-4-2400004i−4i−2i2i2-20000000000000000000−2i2i00000000000000000000000000
χ634-4-444-24-4-2-424-42-2−4i4i-2222-4-240000−4i4i2i−2i2-200000000000000000002i−2i00000000000000000000000000
χ644-4-444-2-44-2-424-42-200-222-242-400000000-22000000000000000000000000000−2i32i3000000000000000000
χ654-4-444-2-44-2-424-42-200-222-242-400000000-220000000000000000000000000002i3−2i3000000000000000000
χ664-4-44-244-442-4-22-4-24i−4i-222-424-20000−2i2i4i−4i2-20000000000000000000−2i2i00000000000000000000000000
χ674-4-44-244-442-4-22-4-2−4i4i-222-424-200002i−2i−4i4i2-200000000000000000002i−2i00000000000000000000000000
χ684-4-44-24-4442-4-22-4-200-2224-2-4200000000-220000000000000000000000000000000−2i32i300000000000000
χ694-4-44-24-4442-4-22-4-200-2224-2-4200000000-2200000000000000000000000000000002i3−2i300000000000000
χ704-4-44-2-24-4-222-22214i−4i1-1-122-2-20000−2i2i−2i2i-1100003-3-3300000000000i−i3i−3i000000000000000000000000
χ714-4-44-2-24-4-222-22214i−4i1-1-122-2-20000−2i2i−2i2i-110000-333-300000000000i−i−3i3i000000000000000000000000
χ724-4-44-2-24-4-222-2221−4i4i1-1-122-2-200002i−2i2i−2i-1100003-3-3300000000000−ii−3i3i000000000000000000000000
χ734-4-44-2-24-4-222-2221−4i4i1-1-122-2-200002i−2i2i−2i-110000-333-300000000000−ii3i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4-4444200-22-2000000000000000026−26−6−666000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-4444200-22-20000000000000000−262666−6−6000000000000000000000000000000000000000
χ788-88-88-4004-84-88-4-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004444-4-4200-2-220000000000000026−2600−66−66000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-4200-2-2200000000000000−2626006−66−6000000000000000000000000000000000000000
χ818-8-88-4-4-88-444-4442002-2-2-4-444000000002-200000000000000000000000000000000000000000000000

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