Finite Group Databasebeta

← Group #11896093

Character table — Group #11896093

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212124448121212121212121224242424242424244444488121212121212121212121224466812121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-111-1-1-1-1111111-111111-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-111-1-111-111-1111-1-1-1-1-1-111-1-1-11-1
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-111-1-11-1-111-11-1-11111-1-1-1-111-1-11
χ5111111111111111111111111-1-1111111111111111111111-1111-1-1111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-11111-111-1-1-111-1-11-111-1-1-1-111-1-1111-11
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-111111111-1-111-1
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-11-1-1-11-1-111-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-111-111-1-1-1111-1-111-1-1-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-111111-1-1111-1-1111-1-1-111-1-111-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1111-111-1-1111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-111111111111-1-1-1111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1111
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000200-2-2002222-2-200000000000-2000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-220022-2-22200000000000-200000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-200-2-222-2-200000000000200000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000-2002200-2-2-2-222000000000002000000002-200000
χ2122222-122-122-1-12-122-1-1-1-122-1222222-1-122-1-122-1-1-1-1-1-10002000-1-10000-1-1-1-1-1202-1-12-1000000-1-10000-100
χ2222222-122-122-1-12-122-1-1-1-122-122-2-222-1-1-2-2-1-1-2-21111110002000-1-100001-1-11120-2-1-1-2-1000000110000100
χ2322222-122-122-1-12-122-1-1-1-122-1-2-22222-1-122-1-122-1-1-1-1-1-1000-2000110000-1-1-1-1-1-20-211-21000000110000100
χ2422222-122-122-1-12-122-1-1-1-122-1-2-2-2-222-1-1-2-2-1-1-2-2111111000-20001100001-1-111-2021121000000-1-10000-100
χ2522222-122-122-1-12-1-2-2-1-1-1-122-1222-2-2-21122-1-1-2-21111110002000-1-10000-111-1-1-20211-2-1000000110000-100
χ2622222-122-122-1-12-1-2-2-1-1-1-122-122-22-2-211-2-2-1-122-1-1-1-1-1-10002000-1-1000011111-20-2112-1000000-1-10000100
χ2722222-122-122-1-12-1-2-2-1-1-1-122-1-2-22-2-2-21122-1-1-2-2111111000-2000110000-111-1-120-2-1-121000000-1-10000100
χ2822222-122-122-1-12-1-2-2-1-1-1-122-1-2-2-22-2-211-2-2-1-122-1-1-1-1-1-1000-200011000011111202-1-1-21000000110000-100
χ292222-12222-1-122-1-122-1-1-12-1-120022-1-122-1-1-1-1-1-122-1-1-1-1222022200-1-1-1-12-1-1-1-10200000-1-1-1-1-1-1000000000
χ302222-12222-1-122-1-122-1-1-12-1-120022-1-122-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2-20011112-1-1-1-10-200000111111000000000
χ312222-12222-1-122-1-122-1-1-12-1-1200-2-2-1-12211-1-111-2-211112-2-202-2-200-1-1-1-1-2-1-1110200000-1-11111000000000
χ322222-12222-1-122-1-122-1-1-12-1-1200-2-2-1-12211-1-111-2-21111-2220-222001111-2-1-1110-20000011-1-1-1-1000000000
χ332222-12222-1-122-1-1-2-2-1-1-12-1-12002-211-2-2-1-1-1-111-2-2111122202-2-200-1-1-1-1211-1-10-20000011-1-111000000000
χ342222-12222-1-122-1-1-2-2-1-1-12-1-12002-211-2-2-1-1-1-111-2-21111-2-2-20-222001111211-1-10200000-1-111-1-1000000000
χ352222-12222-1-122-1-1-2-2-1-1-12-1-1200-2211-2-211-1-1-1-122-1-1-1-12-2-2022200-1-1-1-1-211110-2000001111-1-1000000000
χ362222-12222-1-122-1-1-2-2-1-1-12-1-1200-2211-2-211-1-1-1-122-1-1-1-1-2220-2-2-2001111-211110200000-1-1-1-111000000000
χ372-22-222-222-2-2-2-2222i−2i2-2-2-22-2200002i−2i2i−2i00-220000000002-2002i−2i00000002i−2i000000000002-22i−2i000000000
χ382-22-222-222-2-2-2-2222i−2i2-2-2-22-2200002i−2i2i−2i00-22000000000-2200−2i2i00000002i−2i00000000000-22−2i2i000000000
χ392-22-222-222-2-2-2-222−2i2i2-2-2-22-220000−2i2i−2i2i00-220000000002-200−2i2i0000000−2i2i000000000002-2−2i2i000000000
χ402-22-222-222-2-2-2-222−2i2i2-2-2-22-220000−2i2i−2i2i00-22000000000-22002i−2i0000000−2i2i00000000000-222i−2i000000000
χ412-22-2-12-22211-2-2-1-12i−2i-111-2-1120000−ii2i−2i3−31-1−i3i300−i3−i3i3i302-2002i−2i003−33−30−ii3−30000000−i3i3-11−ii000000000
χ422-22-2-12-22211-2-2-1-12i−2i-111-2-1120000−ii2i−2i3−31-1−i3i300−i3−i3i3i30-2200−2i2i00−33−330−ii3−30000000i3−i31-1i−i000000000
χ432-22-2-12-22211-2-2-1-12i−2i-111-2-1120000−ii2i−2i−331-1i3−i300i3i3−i3−i302-2002i−2i00−33−330−ii−330000000i3−i3-11−ii000000000
χ442-22-2-12-22211-2-2-1-12i−2i-111-2-1120000−ii2i−2i−331-1i3−i300i3i3−i3−i30-2200−2i2i003−33−30−ii−330000000−i3i31-1i−i000000000
χ452-22-2-12-22211-2-2-1-1−2i2i-111-2-1120000i−i−2i2i3−31-1i3−i300i3i3−i3−i302-200−2i2i003−33−30i−i3−30000000i3−i3-11i−i000000000
χ462-22-2-12-22211-2-2-1-1−2i2i-111-2-1120000i−i−2i2i3−31-1i3−i300i3i3−i3−i30-22002i−2i00−33−330i−i3−30000000−i3i31-1−ii000000000
χ472-22-2-12-22211-2-2-1-1−2i2i-111-2-1120000i−i−2i2i−331-1−i3i300−i3−i3i3i302-200−2i2i00−33−330i−i−330000000−i3i3-11i−i000000000
χ482-22-2-12-22211-2-2-1-1−2i2i-111-2-1120000i−i−2i2i−331-1−i3i300−i3−i3i3i30-22002i−2i003−33−30i−i−330000000i3−i31-1−ii000000000
χ4944444-2-4-4-244-2-24-200-2-2-22-4-4244000000002200000000000-4000-2-20000000000000002000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-4-42-4-4000000002200000000000400022000000000000000-2000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-422-4000000000022000000004000-40000-2-222000000000000000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-422-400000000002200000000-40004000022-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-222112222-1-1-1-10000000000000211-1-10000000000000000000000
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
χ5744-4-44400-44-44-4-4400-44-400004-400000000000000000000000004-40000000000000000000000000000000
χ5844-4-44400-44-44-4-4400-44-40000-440000000000000000000000000-440000000000000000000000000000000
χ5944-4-44-20024-4-22-4-2002-2200004-40000000000006−66−66−60000000-2200000000000000000000006−60000000
χ6044-4-44-20024-4-22-4-2002-2200004-4000000000000−66−66−660000000-220000000000000000000000−660000000
χ6144-4-44-20024-4-22-4-2002-220000-440000000000006−66−66−600000002-20000000000000000000000−660000000
χ6244-4-44-20024-4-22-4-2002-220000-44000000000000−66−66−6600000002-200000000000000000000006−60000000
χ634-44-4444-44-4-4-4-444004-4-44-44-400000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-4-2-4-4224-200-222-2-4420000000000-2200000000000000000000000000000−2i32i300000000000000000
χ654-44-44-24-4-2-4-4224-200-222-2-4420000000000-22000000000000000000000000000002i3−2i300000000000000000
χ664-44-44-2-44-2-4-4224-24i−4i-22224-4-200004i−4i−2i2i002-20000000000000000000000−2i2i000000000000000000000000
χ674-44-44-2-44-2-4-4224-2−4i4i-22224-4-20000−4i4i2i−2i002-200000000000000000000002i−2i000000000000000000000000
χ684-44-4-244-4422-4-4-2-200-22242-2-40000000000-220000000000000000023−23−2323000000000000000000000000000
χ694-44-4-244-4422-4-4-2-200-22242-2-40000000000-2200000000000000000−232323−23000000000000000000000000000
χ704-44-4-2-2-44-22222-214i−4i1-1-12-22-20000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ714-44-4-2-2-44-22222-214i−4i1-1-12-22-20000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ724-44-4-2-2-44-22222-21−4i4i1-1-12-22-200002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ734-44-4-2-2-44-22222-21−4i4i1-1-12-22-200002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ744-4-444400-4-44-44-4400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ754-4-444400-4-44-44-4400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
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
χ808-88-8-4-48-8-44444-42002-2-2-44-4400000000002-2000000000000000000000000000000000000000000000000
χ818-8-888-4004-884-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-84-4-884-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-2-2200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-2-22000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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