Finite Group Databasebeta

← Group #11889469

Character table — Group #11889469

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212122248121212121212121224242424242424244444466881212121212121212124448121212121212122424242424881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-11111111-11111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111-111-1-11-11-111111-1-1-1-1-1-111-1-1-11-1
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-11-1-1-1111-1-111-1-111-1-111-1-11
χ5111111111111111111111111-1-111111111111111111111-111-1-111111111111-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111-1-1-1111-1-1-111-1-111-1-1-1-1111-11
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-11-11-1-1-1-1-111111111-1-111-1
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-111111-1-111-11-1-1-1-11-1-111-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1-111-111-1-1-1111-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-1111-1-1111-1-1-11111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-11111-111-1-1111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1111
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-2000000002-2-200220022-2-200000000000-2000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-22-2002200-2-22200000000000-200000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002-2200-2-20022-2-200000000000200000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000-22200-2-200-2-222000000000002000000002-200000
χ2122222-122-122-1-12-122-1-1-1-12-1222222222-1-1-1-122-1-1-1-1-1-100200-1-1000000-1-1-1-1-12202-1-1-10000-1-1000000-100
χ2222222-122-122-1-12-122-1-1-1-12-1222-2-222-2-2-1-1-1-1-2-211111100200-1-10000001-1-1112-20-2-1-1-1000011000000100
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2222222-1-1-1-122-1-1-1-1-1-100-20011000000-1-1-1-1-1-2-20-2111000011000000100
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-2-222-2-2-1-1-1-1-2-211111100-200110000001-1-111-22021110000-1-1000000-100
χ2522222-122-122-1-12-1-2-2-1-1-1-12-12222-2-2-22211-1-1-2-211111100200-1-1000000-111-1-1-220-211-1000011000000-100
χ2622222-122-122-1-12-1-2-2-1-1-1-12-1222-22-2-2-2-211-1-122-1-1-1-1-1-100200-1-100000011111-2-20211-10000-1-1000000100
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2-22-2-2-22211-1-1-2-211111100-20011000000-111-1-12-202-1-110000-1-1000000100
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-22-2-2-2-211-1-122-1-1-1-1-1-100-2001100000011111220-2-1-11000011000000-100
χ292222-12222-1-122-1-122-1-1-12-12-10022-1-1-1-122-1-1-1-122-1-1-1-1220220022-1-1-1-12-1-1-1-10020000-1-1-1-100-1-10000000
χ302222-12222-1-122-1-122-1-1-12-12-10022-1-1-1-122-1-1-1-122-1-1-1-1-2-20-2-200-2-211112-1-1-1-100-20000111100110000000
χ312222-12222-1-122-1-122-1-1-12-12-100-2-2-1-11122-1-111-2-21111220-2-200-2-2-1-1-1-1-2-1-1110020000-1-11100110000000
χ322222-12222-1-122-1-122-1-1-12-12-100-2-2-1-11122-1-111-2-21111-2-202200221111-2-1-11100-2000011-1-100-1-10000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-1002-211-1-1-2-2-1-111-2-211112202200-2-2-1-1-1-1211-1-100-2000011-1-100110000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-1002-211-1-1-2-2-1-111-2-21111-2-20-2-200221111211-1-10020000-1-11100-1-10000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-100-221111-2-2-1-1-1-122-1-1-1-1220-2-20022-1-1-1-1-2111100-20000111100-1-10000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-100-221111-2-2-1-1-1-122-1-1-1-1-2-202200-2-21111-211110020000-1-1-1-100110000000
χ372-2-22222-2-2-2-2-22222i−2i2-2-222-2-200002i−2i002i−2i-22000000000002-2002i−2i000002i−2i000000000002-2002i−2i0000000
χ382-2-22222-2-2-2-2-22222i−2i2-2-222-2-200002i−2i002i−2i-2200000000000-2200−2i2i000002i−2i00000000000-2200−2i2i0000000
χ392-2-22222-2-2-2-2-2222−2i2i2-2-222-2-20000−2i2i00−2i2i-22000000000002-200−2i2i00000−2i2i000000000002-200−2i2i0000000
χ402-2-22222-2-2-2-2-2222−2i2i2-2-222-2-20000−2i2i00−2i2i-2200000000000-22002i−2i00000−2i2i00000000000-22002i−2i0000000
χ412-2-22-122-2-211-22-1-12i−2i-1112-1-210000−ii3−32i−2i1-1−i3i300−i3−i3i3i30002-2002i−2i3−33−30−ii3−30000000−i3i3-1100−ii0000000
χ422-2-22-122-2-211-22-1-12i−2i-1112-1-210000−ii3−32i−2i1-1−i3i300−i3−i3i3i3000-2200−2i2i−33−330−ii3−30000000i3−i31-100i−i0000000
χ432-2-22-122-2-211-22-1-12i−2i-1112-1-210000−ii−332i−2i1-1i3−i300i3i3−i3−i30002-2002i−2i−33−330−ii−330000000i3−i3-1100−ii0000000
χ442-2-22-122-2-211-22-1-12i−2i-1112-1-210000−ii−332i−2i1-1i3−i300i3i3−i3−i3000-2200−2i2i3−33−30−ii−330000000−i3i31-100i−i0000000
χ452-2-22-122-2-211-22-1-1−2i2i-1112-1-210000i−i3−3−2i2i1-1i3−i300i3i3−i3−i30002-200−2i2i3−33−30i−i3−30000000i3−i3-1100i−i0000000
χ462-2-22-122-2-211-22-1-1−2i2i-1112-1-210000i−i3−3−2i2i1-1i3−i300i3i3−i3−i3000-22002i−2i−33−330i−i3−30000000−i3i31-100−ii0000000
χ472-2-22-122-2-211-22-1-1−2i2i-1112-1-210000i−i−33−2i2i1-1−i3i300−i3−i3i3i30002-200−2i2i−33−330i−i−330000000−i3i3-1100i−i0000000
χ482-2-22-122-2-211-22-1-1−2i2i-1112-1-210000i−i−33−2i2i1-1−i3i300−i3−i3i3i3000-22002i−2i3−33−30i−i−330000000i3−i31-100−ii0000000
χ4944444-2-4-4-244-2-24-200-2-2-22-42-44400000000220000000000-400-2-2000000000000000002000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-42-4-4-4000000002200000000004002200000000000000000-2000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-42-42000000000022000000004-40000000-2-222000000000000000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-42-4200000000002200000000-44000000022-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-222-2-2112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-422-2-222112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-44400-44-44-4-4400-44-400004-4000000000000000000000004-4000000000000000000000000000000000
χ5844-4-44400-44-44-4-4400-44-40000-4400000000000000000000000-44000000000000000000000000000000000
χ5944-4-44-20024-4-22-4-2002-2200004-40000000000006−66−66−600000-2200000000000000000000006−6000000000
χ6044-4-44-20024-4-22-4-2002-2200004-4000000000000−66−66−6600000-220000000000000000000000−66000000000
χ6144-4-44-20024-4-22-4-2002-220000-440000000000006−66−66−6000002-20000000000000000000000−66000000000
χ6244-4-44-20024-4-22-4-2002-220000-44000000000000−66−66−66000002-200000000000000000000006−6000000000
χ634-44-444004-44-4-4-4400-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-444004-44-4-4-4400-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-4444-44-4-4-4-4444004-4-4-4-44400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-42-24-24i−4i-222-242-400004i−4i00−2i2i2-20000000000000000000000−2i2i000000000000000000000000
χ674-4-444-24-42-4-42-24-2−4i4i-222-242-40000−4i4i002i−2i2-200000000000000000000002i−2i000000000000000000000000
χ684-4-444-2-442-4-42-24-200-2222-4-240000000000-2200000000000000000000000000000023−230000000000000000
χ694-4-444-2-442-4-42-24-200-2222-4-240000000000-22000000000000000000000000000000−23230000000000000000
χ704-4-44-24-44-422-44-2-200-222-424-20000000000-220000000000000000023−23−2323000000000000000000000000000
χ714-4-44-24-44-422-44-2-200-222-424-20000000000-2200000000000000000−232323−23000000000000000000000000000
χ724-4-44-2-24-42222-2-214i−4i1-1-1-2-2220000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ734-4-44-2-24-42222-2-214i−4i1-1-1-2-2220000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ744-4-44-2-24-42222-2-21−4i4i1-1-1-2-22200002i−2i23−232i−2i-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ754-4-44-2-24-42222-2-21−4i4i1-1-1-2-22200002i−2i−23232i−2i-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4800-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-444200-22-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-444200-22-2000000000000000000−26266−66−60000000000000000000000000000000000000000
χ808-88-88-400-4-8844-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-480084-4-8-84-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-4444200-2-2200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-400-44-4444200-2-22000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-42002-2-244-4-400000000002-2000000000000000000000000000000000000000000000000

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