Finite Group Databasebeta

← Group #11895790

Character table — Group #11895790

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666634466612121212444812121212121212122424242424242424224448812121212121212121212122246666668122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1111111-1111-1-1-1-111-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111-1-11
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-111-111-1-111-11-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-111111111111111111111-11111-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1-111-1-11-1111111-1-111-1
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-1-1-1111-1-1-111-1-1111-11
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-11-1-111-1-1-11-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1-111-111-1-1-1-111-1111-1-1-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-1111-1-11111-1-11-1-1-111-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-111-1-1111-1111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-20000000000-22-2002222-2-2000000000000000-200002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-220022-2-222000000000000000-20000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-200-2-222-2-200000000000000020000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000002-2200-2-2-2-222000000000000000200002-200000
χ2122222-1222-12-1-12-122-1-1-12-1-12002222-1-1-1-1-1-1-1-122-1-1-1-1220222200-1-1-1-12-1-1-1-102000-1-1-1-100-1-1000000000
χ2222222-1222-12-1-12-122-1-1-12-1-12002222-1-1-1-1-1-1-1-122-1-1-1-1-2-20-2-2-2-20011112-1-1-1-10-200011110011000000000
χ2322222-1222-12-1-12-122-1-1-12-1-1200-2-222-1-111-1-111-2-21111220-2-222001111-2-1-1110-2000-1-11100-1-1000000000
χ2422222-1222-12-1-12-122-1-1-12-1-1200-2-222-1-111-1-111-2-21111-2-2022-2-200-1-1-1-1-2-1-1110200011-1-10011000000000
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-12002-2-2-211-1-1-1-111-2-2111122022-2-200-1-1-1-1211-1-10-2000-1-1110011000000000
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-12002-2-2-211-1-1-1-111-2-21111-2-20-2-222001111211-1-10200011-1-100-1-1000000000
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-1200-22-2-21111-1-1-1-122-1-1-1-1220-2-2-2-2001111-2111102000-1-1-1-10011000000000
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-1200-22-2-21111-1-1-1-122-1-1-1-1-2-20222200-1-1-1-1-211110-2000111100-1-1000000000
χ292222-1222-12-122-1-122-1-1-1-122-12222-1-12222-1-122-1-1-1-1-1-10020000-1-10000-1-1-1-1-1202-1-100002-100-1-10000-100
χ302222-1222-12-122-1-122-1-1-1-122-122-2-2-1-122-2-2-1-1-2-21111110020000-1-100001-1-11120-2-1-10000-2-100110000100
χ312222-1222-12-122-1-122-1-1-1-122-1-2-222-1-12222-1-122-1-1-1-1-1-100-20000110000-1-1-1-1-1-20-2110000-2100110000100
χ322222-1222-12-122-1-122-1-1-1-122-1-2-2-2-2-1-122-2-2-1-1-2-211111100-200001100001-1-111-2021100002100-1-10000-100
χ332222-1222-12-122-1-1-2-2-1-1-1-122-1222-211-2-222-1-1-2-21111110020000-1-10000-111-1-1-202110000-2-100110000-100
χ342222-1222-12-122-1-1-2-2-1-1-1-122-122-2211-2-2-2-2-1-122-1-1-1-1-1-10020000-1-1000011111-20-21100002-100-1-10000100
χ352222-1222-12-122-1-1-2-2-1-1-1-122-1-2-22-211-2-222-1-1-2-211111100-20000110000-111-1-120-2-1-100002100-1-10000100
χ362222-1222-12-122-1-1-2-2-1-1-1-122-1-2-2-2211-2-2-2-2-1-122-1-1-1-1-1-100-2000011000011111202-1-10000-2100110000-100
χ3722-2-222-2222-2-2-2-222i−2i2-2-2-22-2200002i−2i2i−2i00-22000000002-20002i−2i00000002i−2i00000002-200002i−2i000000000
χ3822-2-222-2222-2-2-2-222i−2i2-2-2-22-2200002i−2i2i−2i00-2200000000-22000−2i2i00000002i−2i0000000-220000−2i2i000000000
χ3922-2-222-2222-2-2-2-22−2i2i2-2-2-22-220000−2i2i−2i2i00-22000000002-2000−2i2i0000000−2i2i00000002-20000−2i2i000000000
χ4022-2-222-2222-2-2-2-22−2i2i2-2-2-22-220000−2i2i−2i2i00-2200000000-220002i−2i0000000−2i2i0000000-2200002i−2i000000000
χ4122-2-22-1-222-1-211-2-12i−2i-111-2-11200002i−2i−ii3−31-1−i3i300−i3−i3i3i32-20002i−2i003−33−30−ii3−300000-11−i3i300−ii000000000
χ4222-2-22-1-222-1-211-2-12i−2i-111-2-11200002i−2i−ii3−31-1−i3i300−i3−i3i3i3-22000−2i2i00−33−330−ii3−3000001-1i3−i300i−i000000000
χ4322-2-22-1-222-1-211-2-12i−2i-111-2-11200002i−2i−ii−331-1i3−i300i3i3−i3−i32-20002i−2i00−33−330−ii−3300000-11i3−i300−ii000000000
χ4422-2-22-1-222-1-211-2-12i−2i-111-2-11200002i−2i−ii−331-1i3−i300i3i3−i3−i3-22000−2i2i003−33−30−ii−33000001-1−i3i300i−i000000000
χ4522-2-22-1-222-1-211-2-1−2i2i-111-2-1120000−2i2ii−i3−31-1i3−i300i3i3−i3−i32-2000−2i2i003−33−30i−i3−300000-11i3−i300i−i000000000
χ4622-2-22-1-222-1-211-2-1−2i2i-111-2-1120000−2i2ii−i3−31-1i3−i300i3i3−i3−i3-220002i−2i00−33−330i−i3−3000001-1−i3i300−ii000000000
χ4722-2-22-1-222-1-211-2-1−2i2i-111-2-1120000−2i2ii−i−331-1−i3i300−i3−i3i3i32-2000−2i2i00−33−330i−i−3300000-11−i3i300i−i000000000
χ4822-2-22-1-222-1-211-2-1−2i2i-111-2-1120000−2i2ii−i−331-1−i3i300−i3−i3i3i3-220002i−2i003−33−30i−i−33000001-1i3−i300−ii000000000
χ4944444-2-4-44-24-2-24-200-2-2-2-422-4000000000022000000000004-40000-2-222000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-2-2-2-422-400000000002200000000000-44000022-2-2000000000000000000000000000
χ514444-24-4-4-24-244-2-200-2-2-22-4-424400000000220000000000-40000-2-20000000000000000000200000000000
χ524444-24-4-4-24-244-2-200-2-2-22-4-42-4-40000000022000000000040000220000000000000000000-200000000000
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
χ5744-4-4444-444-4-4-4-44004-4-44-44-400000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-4-200-22242-2-40000000000-220000000000000000023−23−2323000000000000000000000000000
χ5944-4-44-24-44-2-422-4-200-22242-2-40000000000-2200000000000000000−232323−23000000000000000000000000000
χ6044-4-4-244-4-242-4-42-200-222-2-4420000000000-2200000000000000000000000000000−2i32i300000000000000000
χ6144-4-4-244-4-242-4-42-200-222-2-4420000000000-22000000000000000000000000000002i3−2i300000000000000000
χ6244-4-4-24-44-242-4-42-24i−4i-22224-4-20000−2i2i4i−4i002-20000000000000000000000−2i2i000000000000000000000000
χ6344-4-4-24-44-242-4-42-2−4i4i-22224-4-200002i−2i−4i4i002-200000000000000000000002i−2i000000000000000000000000
χ6444-4-4-2-2-44-2-2222214i−4i1-1-12-22-20000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ6544-4-4-2-2-44-2-2222214i−4i1-1-12-22-20000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ6644-4-4-2-2-44-2-222221−4i4i1-1-12-22-200002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ6744-4-4-2-2-44-2-222221−4i4i1-1-12-22-200002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ684-44-44400-4-4-44-44400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ694-44-44400-4-4-44-44400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ704-4-444400-4-44-44-4400-4-4400004-400000000000000000000000004-40000000000000000000000000000000
χ714-4-444400-4-44-44-4400-4-440000-440000000000000000000000000-440000000000000000000000000000000
χ724-4-44-24002-4-2-442-20022-200004-40000000000006−66−66−60000000-2200000000000000000000006−60000000
χ734-4-44-24002-4-2-442-20022-200004-4000000000000−66−66−660000000-220000000000000000000000−660000000
χ744-4-44-24002-4-2-442-20022-20000-440000000000006−66−66−600000002-20000000000000000000000−660000000
χ754-4-44-24002-4-2-442-20022-20000-44000000000000−66−66−6600000002-200000000000000000000006−60000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-4-444442002-2-2-44-4400000000002-2000000000000000000000000000000000000000000000000
χ788-88-88-400-84-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-848-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-88-8-4-400444-44-4200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ828-8-888-400-8484-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-2-2200000000000000000026−26−66−660000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-2-22000000000000000000−26266−66−60000000000000000000000000000000000000000

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