Finite Group Databasebeta

← Group #11888699

Character table — Group #11888699

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212124448121212121212121224242424242424242224488121212121212121212121224466666812122424242424881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-1-111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-111-1-1-11-1111-1-1-111-1-111-1-111-1-11
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-111-1-111-11-1-111-111-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-1111111111111111111-11111111111-1-1111111-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-11-111-1-11-1-1111111-1-111-1
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-11-11-1-1-1111-1-111-1-1-1-1111-11
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-1111-111-1-111-1-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11-1-111-1-111111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111111111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-2002-20022-2-22200000000-200000000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-2200-2-2222200000000-2000000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-20022-2-2-2-2000000002000000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000200-2200-2-222-2-200000000200000000000-2200000
χ2122222-122-12-1-122-122-1-1-1-12-12002222-1-1-1-1-1-122-1-1-1-1-1-10222222-1-1-1-1002-1-1-1-12000-1-1-1-100000-1-10000000
χ2222222-122-12-1-122-122-1-1-1-12-12002222-1-1-1-1-1-122-1-1-1-1-1-10-2-2-2-2-2-21111002-1-1-1-1-2000111100000110000000
χ2322222-122-12-1-122-122-1-1-1-12-1200-2-222-1-111-1-1-2-2111111022-2-222111100-2-1-111-2000-1-11100000-1-10000000
χ2422222-122-12-1-122-122-1-1-1-12-1200-2-222-1-111-1-1-2-21111110-2-222-2-2-1-1-1-100-2-1-111200011-1-100000110000000
χ2522222-122-12-1-122-1-2-2-1-1-1-12-12002-2-2-211-1-1-1-1-2-211111102222-2-2-1-1-1-100211-1-1-2000-1-11100000110000000
χ2622222-122-12-1-122-1-2-2-1-1-1-12-12002-2-2-211-1-1-1-1-2-21111110-2-2-2-222111100211-1-1200011-1-100000-1-10000000
χ2722222-122-12-1-122-1-2-2-1-1-1-12-1200-22-2-21111-1-122-1-1-1-1-1-1022-2-2-2-2111100-211112000-1-1-1-100000110000000
χ2822222-122-12-1-122-1-2-2-1-1-1-12-1200-22-2-21111-1-122-1-1-1-1-1-10-2-22222-1-1-1-100-21111-2000111100000-1-10000000
χ292222-12222-122-1-1-122-1-1-12-12-12222-1-12222-1-1-1-122-1-1-1-120000000000-1-1-1-1-1-1-1022-100002-1-1-1-1000000-100
χ302222-12222-122-1-1-122-1-1-12-12-122-2-2-1-122-2-2-1-111-2-2111120000000000-1-11-1-11102-2-10000-2-1-111000000100
χ312222-12222-122-1-1-122-1-1-12-12-1-2-222-1-12222-1-1-1-122-1-1-1-1-2000000000011-1-1-1-1-10-2-210000-21111000000100
χ322222-12222-122-1-1-122-1-1-12-12-1-2-2-2-2-1-122-2-2-1-111-2-21111-20000000000111-1-1110-2210000211-1-1000000-100
χ332222-12222-122-1-1-1-2-2-1-1-12-12-1222-211-2-222-1-111-2-2111120000000000-1-1-111-1-10-22-10000-21111000000-100
χ342222-12222-122-1-1-1-2-2-1-1-12-12-122-2211-2-2-2-2-1-1-1-122-1-1-1-120000000000-1-1111110-2-2-10000211-1-1000000100
χ352222-12222-122-1-1-1-2-2-1-1-12-12-1-2-22-211-2-222-1-111-2-21111-2000000000011-111-1-102-2100002-1-1-1-1000000100
χ362222-12222-122-1-1-1-2-2-1-1-12-12-1-2-2-2211-2-2-2-2-1-1-1-122-1-1-1-1-20000000000111111102210000-2-1-111000000-100
χ372-2-22222-22-2-2-2-2222i−2i2-2-222-2-200002i−2i2i−2i00-220000000002-2002i−2i00000002i−2i0000002-200000002i−2i0000000
χ382-2-22222-22-2-2-2-2222i−2i2-2-222-2-200002i−2i2i−2i00-22000000000-2200−2i2i00000002i−2i000000-220000000−2i2i0000000
χ392-2-22222-22-2-2-2-222−2i2i2-2-222-2-20000−2i2i−2i2i00-220000000002-200−2i2i0000000−2i2i0000002-20000000−2i2i0000000
χ402-2-22222-22-2-2-2-222−2i2i2-2-222-2-20000−2i2i−2i2i00-22000000000-22002i−2i0000000−2i2i000000-2200000002i−2i0000000
χ412-2-222-12-2-1-211-22-12i−2i-111-121-200002i−2i−ii3−31-100−i3i3−i3−i3i3i302-2002i−2i3−33−3000−ii3−30000-11−i3i300000−ii0000000
χ422-2-222-12-2-1-211-22-12i−2i-111-121-200002i−2i−ii3−31-100−i3i3−i3−i3i3i30-2200−2i2i−33−33000−ii3−300001-1i3−i300000i−i0000000
χ432-2-222-12-2-1-211-22-12i−2i-111-121-200002i−2i−ii−331-100i3−i3i3i3−i3−i302-2002i−2i−33−33000−ii−330000-11i3−i300000−ii0000000
χ442-2-222-12-2-1-211-22-12i−2i-111-121-200002i−2i−ii−331-100i3−i3i3i3−i3−i30-2200−2i2i3−33−3000−ii−3300001-1−i3i300000i−i0000000
χ452-2-222-12-2-1-211-22-1−2i2i-111-121-20000−2i2ii−i3−31-100i3−i3i3i3−i3−i302-200−2i2i3−33−3000i−i3−30000-11i3−i300000i−i0000000
χ462-2-222-12-2-1-211-22-1−2i2i-111-121-20000−2i2ii−i3−31-100i3−i3i3i3−i3−i30-22002i−2i−33−33000i−i3−300001-1−i3i300000−ii0000000
χ472-2-222-12-2-1-211-22-1−2i2i-111-121-20000−2i2ii−i−331-100−i3i3−i3−i3i3i302-200−2i2i−33−33000i−i−330000-11−i3i300000i−i0000000
χ482-2-222-12-2-1-211-22-1−2i2i-111-121-20000−2i2ii−i−331-100−i3i3−i3−i3i3i30-22002i−2i3−33−3000i−i−3300001-1i3−i300000−ii0000000
χ4944444-2-4-4-24-2-244-200-2-2-22-42-4000000000022000000000004-400-2-22200000000000000000000000000000
χ5044444-2-4-4-24-2-244-200-2-2-22-42-400000000002200000000000-440022-2-200000000000000000000000000000
χ514444-24-4-44-244-2-2-200-2-2-2-42-4244000000002200000000-40000000000-2-2000000002000000000000000000
χ524444-24-4-44-244-2-2-200-2-2-2-42-42-4-4000000002200000000400000000002200000000-2000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-222112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222-2-2112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-44400-4-44-44-4400-44-400004i−4i000000000000000000000000000004i−4i000000000000000000000000000
χ5844-4-44400-4-44-44-4400-44-40000−4i4i00000000000000000000000000000−4i4i000000000000000000000000000
χ5944-4-4-2400-424-4-22-2002-2200004i−4i00000000006−6006−66−600000000000−2i2i0000000000000000i6−i6000000000
χ6044-4-4-2400-424-4-22-2002-2200004i−4i0000000000−6600−66−6600000000000−2i2i0000000000000000−i6i6000000000
χ6144-4-4-2400-424-4-22-2002-220000−4i4i00000000006−6006−66−6000000000002i−2i0000000000000000−i6i6000000000
χ6244-4-4-2400-424-4-22-2002-220000−4i4i0000000000−6600−66−66000000000002i−2i0000000000000000i6−i6000000000
χ634-44-44400-44-44-4-4400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-44400-44-44-4-4400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-4444-444-4-4-4-444004-4-4-4-44400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-2-44-2-422-44-200-2222-4-240000000000-2200000000000000023−23−232300000000000000000000000000000
χ674-4-444-2-44-2-422-44-200-2222-4-240000000000-22000000000000000−232323−2300000000000000000000000000000
χ684-4-44-244-442-4-42-2-24i−4i-2224-2-420000−2i2i4i−4i002-20000000000000000000000−2i2i000000000000000000000000
χ694-4-44-244-442-4-42-2-2−4i4i-2224-2-4200002i−2i−4i4i002-200000000000000000000002i−2i000000000000000000000000
χ704-4-44-24-4442-4-42-2-200-222-424-20000000000-220000000000000000000000000000000000023−2300000000000
χ714-4-44-24-4442-4-42-2-200-222-424-20000000000-2200000000000000000000000000000000000−232300000000000
χ724-4-44-2-24-4-22222-214i−4i1-1-1-2-2220000−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i300000000000000i−i−330000000000000000000000
χ734-4-44-2-24-4-22222-214i−4i1-1-1-2-2220000−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ744-4-44-2-24-4-22222-21−4i4i1-1-1-2-22200002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i300000000000000−ii−330000000000000000000000
χ754-4-44-2-24-4-22222-21−4i4i1-1-1-2-22200002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4004-8-448-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-44-44200-22-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-40044-44-44200-22-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-88-400484-4-8-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8-4-8844-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-2-2200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-2-22000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-4-88-44444-42002-2-244-4-400000000002-2000000000000000000000000000000000000000000000000

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