Finite Group Databasebeta

← Group #11895857

Character table — Group #11895857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666622366612121212444666681212121224242424242424244444488121212121212661212124448121212121212122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-11111-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111-111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-1-1-11-1-1111-1-11111-1-1-1-111-11-1
χ5111111111111111111111111-1-1111111111111111111-111111111-1-11111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-111-1-1-111-1-1-1-111-1-11111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-11-1-1-1-1-111111111-1-11-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-11111-1-1-11-1-1-1-111-1-1-1-111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-11-11-111-1-111-1-111-1-111-1-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111-11111-1-1111111-1-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-111-1-11111-1-111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-22-200002222-2-2000000000-200000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-220000-2-22222000000000-20000000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-2000022-2-2-2-200000000020000000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002-220000-2-2-2-222000000000200000000002-200000
χ2122222-12222-1-1-1222-1-1-1-1-122-122222-1-1222-1-122-1-1-1-1-1-1200000000-1-100-1-1-1-1-12202-1-1-1000000-1-10000-100
χ2222222-12222-1-1-1222-1-1-1-1-122-122-222-1-1-2-2-2-1-1-2-2111111200000000-1-100-1-1111-220-2-1-1-1000000110000100
χ2322222-12222-1-1-1222-1-1-1-1-122-1-2-2222-1-1222-1-122-1-1-1-1-1-1-2000000001100-1-1-1-1-1-2-20-2111000000110000100
χ2422222-12222-1-1-1222-1-1-1-1-122-1-2-2-222-1-1-2-2-2-1-1-2-2111111-2000000001100-1-11112-202111000000-1-10000-100
χ2522222-12222-1-1-12-2-2-1-1-1-1-122-1222-2-211-222-1-1-2-2111111200000000-1-10011-1-1-12-20-2-111000000110000-100
χ2622222-12222-1-1-12-2-2-1-1-1-1-122-122-2-2-2112-2-2-1-122-1-1-1-1-1-1200000000-1-10011111-2-202-111000000-1-10000100
χ2722222-12222-1-1-12-2-2-1-1-1-1-122-1-2-22-2-211-222-1-1-2-2111111-200000000110011-1-1-1-22021-1-1000000-1-10000100
χ2822222-12222-1-1-12-2-2-1-1-1-1-122-1-2-2-2-2-2112-2-2-1-122-1-1-1-1-1-1-200000000110011111220-21-1-1000000110000-100
χ292222-1222-1-1222-122-1-1-1-12-1-12002-1-1222-1-1-1-1-1-122-1-1-1-10222222-1-100-1-1-1-12-1-10020000-1-1-1-1-1-1000000000
χ302222-1222-1-1222-122-1-1-1-12-1-12002-1-1222-1-1-1-1-1-122-1-1-1-10-2-2-2-2-2-2110011-1-12-1-100-20000111111000000000
χ312222-1222-1-1222-122-1-1-1-12-1-1200-2-1-122-211-1-111-2-21111022-2-2-2-2-1-100-1-1-1-1-2110020000-1-11111000000000
χ322222-1222-1-1222-122-1-1-1-12-1-1200-2-1-122-211-1-111-2-211110-2-22222110011-1-1-21100-2000011-1-1-1-1000000000
χ332222-1222-1-1222-1-2-2-1-1-1-12-1-1200211-2-2-2-1-1-1-111-2-2111102222-2-2-1-100-1-1112-1-100-2000011-1-111000000000
χ342222-1222-1-1222-1-2-2-1-1-1-12-1-1200211-2-2-2-1-1-1-111-2-211110-2-2-2-222110011112-1-10020000-1-111-1-1000000000
χ352222-1222-1-1222-1-2-2-1-1-1-12-1-1200-211-2-2211-1-1-1-122-1-1-1-1022-2-222-1-100-1-111-21100-200001111-1-1000000000
χ362222-1222-1-1222-1-2-2-1-1-1-12-1-1200-211-2-2211-1-1-1-122-1-1-1-10-2-222-2-211001111-2110020000-1-1-1-111000000000
χ3722-2-222-222-2-22-2-22-22-2-22-22-220002-22-2000-22000000000002i−2i2i−2i0000002-20000000000002i−2i2i−2i000000000
χ3822-2-222-222-2-22-2-22-22-2-22-22-220002-22-2000-2200000000000−2i2i−2i2i0000002-2000000000000−2i2i−2i2i000000000
χ3922-2-222-222-2-22-2-2-222-2-22-22-22000-22-22000-22000000000002i−2i−2i2i000000-220000000000002i−2i−2i2i000000000
χ4022-2-222-222-2-22-2-2-222-2-22-22-22000-22-22000-2200000000000−2i2i2i−2i000000-22000000000000−2i2i2i−2i000000000
χ4122-2-2-12-22-11-22-212-2-111-1-2-112000-112-20−i3i31-1−i3i300−i3−i3i3i30002i−2i2i−2i3−3003−3-110−i3i300000003−3−ii−ii000000000
χ4222-2-2-12-22-11-22-212-2-111-1-2-112000-112-20−i3i31-1−i3i300−i3−i3i3i3000−2i2i−2i2i−3300−33-110−i3i30000000−33i−ii−i000000000
χ4322-2-2-12-22-11-22-212-2-111-1-2-112000-112-20i3−i31-1i3−i300i3i3−i3−i30002i−2i2i−2i−3300−33-110i3−i30000000−33−ii−ii000000000
χ4422-2-2-12-22-11-22-212-2-111-1-2-112000-112-20i3−i31-1i3−i300i3i3−i3−i3000−2i2i−2i2i3−3003−3-110i3−i300000003−3i−ii−i000000000
χ4522-2-2-12-22-11-22-21-22-111-1-2-1120001-1-220−i3i31-1i3−i300i3i3−i3−i30002i−2i−2i2i3−3003−31-10−i3i30000000−33−iii−i000000000
χ4622-2-2-12-22-11-22-21-22-111-1-2-1120001-1-220−i3i31-1i3−i300i3i3−i3−i3000−2i2i2i−2i−3300−331-10−i3i300000003−3i−i−ii000000000
χ4722-2-2-12-22-11-22-21-22-111-1-2-1120001-1-220i3−i31-1−i3i300−i3−i3i3i30002i−2i−2i2i−3300−331-10i3−i300000003−3−iii−i000000000
χ4822-2-2-12-22-11-22-21-22-111-1-2-1120001-1-220i3−i31-1−i3i300−i3−i3i3i3000−2i2i2i−2i3−3003−31-10i3−i30000000−33i−i−ii000000000
χ4944444-2-4-444-2-2-2400-2-2-2-22-4-4244000000002200000000-400000000-2-200000000000200000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-22-4-42-4-40000000022000000004000000002200000000000-200000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2-422-40000000000220000000004-40000-2-20022000000000000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2-422-4000000000022000000000-4400002200-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-24-2-211-2-2-2-21111000000000000011-2110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-422112222-1-1-1-10000000000000112-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4-2-2112222-1-1-1-10000000000000-1-1-2110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222242211-2-2-2-211110000000000000-1-12-1-10000000000000000000000
χ5744-4-4444-44-4-44-4-4004-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-42-22-400-222-2-2-4420000000000-22000000000000000000000000000000023−23000000000000000
χ5944-4-44-24-44-42-22-400-222-2-2-4420000000000-220000000000000000000000000000000−2323000000000000000
χ6044-4-44-2-444-42-22-44-4-222-224-4-20004-4-220002-2000000000000000000000-220000000000000000000000000
χ6144-4-44-2-444-42-22-4-44-222-224-4-2000-442-20002-20000000000000000000002-20000000000000000000000000
χ6244-4-4-244-4-22-44-4200-222-242-2-40000000000-2200000000000000023−2300−2323000000000000000000000000000
χ6344-4-4-244-4-22-44-4200-222-242-2-40000000000-22000000000000000−23230023−23000000000000000000000000000
χ6444-4-4-2-2-44-222-2224-41-1-112-22-2000-22-220−2i32i3-11−2i32i300i3i3−i3−i300000000000001-10i3−i30000000000000000000000
χ6544-4-4-2-2-44-222-2224-41-1-112-22-2000-22-2202i3−2i3-112i3−2i300−i3−i3i3i300000000000001-10−i3i30000000000000000000000
χ6644-4-4-2-2-44-222-222-441-1-112-22-20002-22-20−2i32i3-112i3−2i300−i3−i3i3i30000000000000-110i3−i30000000000000000000000
χ6744-4-4-2-2-44-222-222-441-1-112-22-20002-22-202i3−2i3-11−2i32i300i3i3−i3−i30000000000000-110−i3i30000000000000000000000
χ684-44-44400-444-4-4-40044-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ694-44-44400-444-4-4-40044-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ704-4-444400-4-4-4-444004-44-400004-40000000000000000000000000004-400000000000000000000000000000
χ714-4-444400-4-4-4-444004-44-40000-44000000000000000000000000000-4400000000000000000000000000000
χ724-4-444-200-4-422-2400-22-2200004-40000000000006−66−66−6000000000-22000000000000000000006−60000000
χ734-4-444-200-4-422-2400-22-2200004-4000000000000−66−66−66000000000-2200000000000000000000−660000000
χ744-4-444-200-4-422-2400-22-220000-440000000000006−66−66−60000000002-200000000000000000000−660000000
χ754-4-444-200-4-422-2400-22-220000-44000000000000−66−66−660000000002-2000000000000000000006−60000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-444-444002-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000
χ788-88-88-400-88-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-48-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44440022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-88-8-4-4004-4-44440022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ828-8-88-480044-8-88-400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4002-22-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4002-22-2000000000000000000−26266−66−60000000000000000000000000000000000000000

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