Finite Group Databasebeta

← Group #11884595

Character table — Group #11884595

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666622366612121212466668121212122424242424242424244444668888121212126612121244244121212121212122424242426448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111-1-1-1-11111111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-111111-1-111-1111-1-1-1-1-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-111-11111111-1-1-1-1-1-11-1-11-1
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11111-1-1-1-1-11-11-1-1-111-1-1-1-111-111-11
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-1-1-11-1111-1-11111-1-1-1-11-11
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-111111111-11-1
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-111-1-111-1-1111-1-1-11-1-111-1-111-1-111-1-1-111
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-111-1-1-11-111
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-11111-1-111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-111111111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-11-1-111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222002222-2-2-2-200000000-2-20000000022-2-200220000-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-2000000002-22-20022000022-2-200000-2-2000-2000000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-22-2200-2-20000-2-22200000-2-20002000000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-2-22200-2-2000022220000022000-20000000000-20000
χ2122222-12222-1-1-1222-1-1-1-1-12-12222-1-1222-1-122-1-1-1-1-1-1022000000022-1-100-1-1-1-1-100220-1-1-1000000-1-10-1000
χ2222222-12222-1-1-1222-1-1-1-1-12-12222-1-1222-1-122-1-1-1-1-1-10-2-20000000-2-21100-1-1-1-1-100-2-201110000001101000
χ2322222-12222-1-1-1222-1-1-1-1-12-12-222-1-1-2-2-2-1-1-2-21111110220000000-2-2-1-100-1-111100-220-1-1-10000001101000
χ2422222-12222-1-1-1222-1-1-1-1-12-12-222-1-1-2-2-2-1-1-2-21111110-2-20000000221100-1-1111002-20111000000-1-10-1000
χ2522222-12222-1-1-12-2-2-1-1-1-1-12-122-2-211-222-1-1-2-21111110220000000-2-2-1-10011-1-1-1002-20-111000000110-1000
χ2622222-12222-1-1-12-2-2-1-1-1-1-12-122-2-211-222-1-1-2-21111110-2-2000000022110011-1-1-100-2201-1-1000000-1-101000
χ2722222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2-2112-2-2-1-122-1-1-1-1-1-1022000000022-1-1001111100-2-20-111000000-1-101000
χ2822222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2-2112-2-2-1-122-1-1-1-1-1-10-2-20000000-2-2110011111002201-1-1000000110-1000
χ292222-1222-1-1222-122-1-1-1-12-12-12-1-1222-1-1-1-1-1-122-1-1-1-1200222-1-1220000-1-1-1-12-1-100002000-1-1-1-1-1-10000000
χ302222-1222-1-1222-122-1-1-1-12-12-12-1-1222-1-1-1-1-1-122-1-1-1-1-200-2-2-211-2-2000011-1-12-1-10000-20001111110000000
χ312222-1222-1-1222-122-1-1-1-12-12-1-2-1-122-211-1-111-2-211112002-2-2-1-1-2-20000-1-1-1-1-21100002000-1-111110000000
χ322222-1222-1-1222-122-1-1-1-12-12-1-2-1-122-211-1-111-2-21111-200-2221122000011-1-1-2110000-200011-1-1-1-10000000
χ332222-1222-1-1222-1-2-2-1-1-1-12-12-1211-2-2-2-1-1-1-111-2-21111200222-1-1-2-20000-1-1112-1-10000-200011-1-1110000000
χ342222-1222-1-1222-1-2-2-1-1-1-12-12-1211-2-2-2-1-1-1-111-2-21111-200-2-2-21122000011112-1-100002000-1-111-1-10000000
χ352222-1222-1-1222-1-2-2-1-1-1-12-12-1-211-2-2211-1-1-1-122-1-1-1-12002-2-2-1-1220000-1-111-2110000-20001111-1-10000000
χ362222-1222-1-1222-1-2-2-1-1-1-12-12-1-211-2-2211-1-1-1-122-1-1-1-1-200-22211-2-200001111-21100002000-1-1-1-1110000000
χ372-2-22222-2-2-22-2-222-22-2-22-2-22202-22-2000-220000000000002-2002-20000002-200000000000002-22-20000000
χ382-2-22222-2-2-22-2-222-22-2-22-2-22202-22-2000-22000000000000-2200-220000002-20000000000000-22-220000000
χ392-2-22222-2-2-22-2-22-222-2-22-2-2220-22-22000-220000000000002-200-22000000-2200000000000002-2-220000000
χ402-2-22222-2-2-22-2-22-222-2-22-2-2220-22-22000-22000000000000-22002-2000000-220000000000000-222-20000000
χ412-2-22-122-2112-2-2-12-2-111-1-212-10-112-20−i3i31-1−i3i300−i3−i3i3i300002-2−i3i32-20000−i3i3-110−i3i300000000−i3i3-11-110000000
χ422-2-22-122-2112-2-2-12-2-111-1-212-10-112-20−i3i31-1−i3i300−i3−i3i3i30000-22i3−i3-220000i3−i3-110−i3i300000000i3−i31-11-10000000
χ432-2-22-122-2112-2-2-12-2-111-1-212-10-112-20i3−i31-1i3−i300i3i3−i3−i300002-2i3−i32-20000i3−i3-110i3−i300000000i3−i3-11-110000000
χ442-2-22-122-2112-2-2-12-2-111-1-212-10-112-20i3−i31-1i3−i300i3i3−i3−i30000-22−i3i3-220000−i3i3-110i3−i300000000−i3i31-11-10000000
χ452-2-22-122-2112-2-2-1-22-111-1-212-101-1-220−i3i31-1i3−i300i3i3−i3−i300002-2−i3i3-220000−i3i31-10−i3i300000000i3−i3-111-10000000
χ462-2-22-122-2112-2-2-1-22-111-1-212-101-1-220−i3i31-1i3−i300i3i3−i3−i30000-22i3−i32-20000i3−i31-10−i3i300000000−i3i31-1-110000000
χ472-2-22-122-2112-2-2-1-22-111-1-212-101-1-220i3−i31-1−i3i300−i3−i3i3i300002-2i3−i3-220000i3−i31-10i3−i300000000−i3i3-111-10000000
χ482-2-22-122-2112-2-2-1-22-111-1-212-101-1-220i3−i31-1−i3i300−i3−i3i3i30000-22−i3i32-20000−i3i31-10i3−i300000000i3−i31-1-110000000
χ4944444-2-4-444-2-2-2400-2-2-2-22-42-400000000220000000004-400000000022000000000000-2000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-22-42-40000000022000000000-44000000000-2-20000000000002000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2-42-42000000002200000000400-400-2-20000002200000000000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2-42-42000000002200000000-40040022000000-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-24-2-211-2-2-2-21111000000000000000011-211000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-422112222-1-1-1-10000000000000000112-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4-2-2112222-1-1-1-10000000000000000-1-1-211000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-4222242211-2-2-2-211110000000000000000-1-12-1-1000000000000000000000
χ5744-4-444004-4-44-4-40044-4-40000000000000000000000000000000022−220000000000000000000000022−2200000
χ5844-4-444004-4-44-4-40044-4-400000000000000000000000000000000−222200000000000000000000000−222200000
χ5944-4-44-2004-42-22-400-2-22200000000000000006−66−66−6000000000022−2223−23000000000000000000000−2200000
χ6044-4-44-2004-42-22-400-2-22200000000000000006−66−66−60000000000−2222−23230000000000000000000002−200000
χ6144-4-44-2004-42-22-400-2-2220000000000000000−66−66−66000000000022−22−2323000000000000000000000−2200000
χ6244-4-44-2004-42-22-400-2-2220000000000000000−66−66−660000000000−222223−230000000000000000000002−200000
χ634-44-44400-44-4-44-4004-44-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ644-44-44400-44-4-44-4004-44-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ654-4-4444-44-4-44-4-44004-4-4444-4-4000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-4-22244-4-222-22-4-2404-4-220002-2000000000000000000000000-22000000000000000000000000
χ674-4-444-24-4-4-4-2224-44-222-22-4-240-442-20002-20000000000000000000000002-2000000000000000000000000
χ684-4-444-2-44-4-4-222400-222-2-242-400000000-220000000000000000000000000000000000023−230000000000000
χ694-4-444-2-44-4-4-222400-222-2-242-400000000-2200000000000000000000000000000000000−23230000000000000
χ704-4-44-24-44224-4-4-200-222-24-2-4200000000-2200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ714-4-44-24-44224-4-4-200-222-24-2-4200000000-22000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ724-4-44-2-24-422-222-24-41-1-1122-2-20-22-220−2i32i3-11−2i32i300i3i3−i3−i300000000000000001-10i3−i3000000000000000000000
χ734-4-44-2-24-422-222-24-41-1-1122-2-20-22-2202i3−2i3-112i3−2i300−i3−i3i3i300000000000000001-10−i3i3000000000000000000000
χ744-4-44-2-24-422-222-2-441-1-1122-2-202-22-20−2i32i3-112i3−2i300−i3−i3i3i30000000000000000-110i3−i3000000000000000000000
χ754-4-44-2-24-422-222-2-441-1-1122-2-202-22-202i3−2i3-11−2i32i300i3i3−i3−i30000000000000000-110−i3i3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4800-44-88-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4440022-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4440022-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ808-88-88-400-8844-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-8-88400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44002-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44002-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4002-2-22-4-444000000002-200000000000000000000000000000000000000000000000000

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