Finite Group Databasebeta

← Group #11884286

Character table — Group #11884286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666662236661212121244466668121212122424242424242424222246688121212126612121224466666812122424242444881244
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
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-111-1-111-1-111-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-11-111-1-111-111-1-1-1-111-1-1-11-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-111-1-11-1-1111111-1-111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1111-1-111-1-1-1-1111-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1111-11-1111-1-1-1-1-1-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111111-11-1-111-1-1-1-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11-1-111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-11-111-1-111111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-111111111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-1-1-111111-1-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-2002-22200-2-22200000000-200000000000-2200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-200-22-2-200222200000000-2000000000002-200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002002-22200-2-2-2-2000000002000000000002-200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000200-22-2-20022-2-200000000200000000000-2200000
χ2122222-1222-1-12-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-102222-1-122-1-100-1-12-1-12000-1-1-1-100000-1-10000000
χ2222222-1222-1-12-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-10-2-2-2-211-2-21100-1-12-1-1-2000111100000110000000
χ2322222-1222-1-12-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-2111111022-2-211221100-1-1-211-2000-1-11100000-1-10000000
χ2422222-1222-1-12-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-21111110-2-222-1-1-2-2-1-100-1-1-211200011-1-100000110000000
χ2522222-1222-1-12-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-211111102222-1-1-2-2-1-100112-1-1-2000-1-11100000110000000
χ2622222-1222-1-12-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-21111110-2-2-2-211221100112-1-1200011-1-100000-1-10000000
χ2722222-1222-1-12-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-1022-2-211-2-2110011-2112000-1-1-1-100000110000000
χ2822222-1222-1-12-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-10-2-222-1-122-1-10011-211-2000111100000-1-10000000
χ292222-1222-122-12-122-1-1-1-12-1-12222-1-122222-1-1-1-122-1-1-1-120000000000-1-1-1-1-1-1-1022-100002-1-1-1-1000000-100
χ302222-1222-122-12-122-1-1-1-12-1-1222-2-1-122-2-2-2-1-111-2-2111120000000000-1-1-1-11110-22-10000-2-1-111000000100
χ312222-1222-122-12-122-1-1-1-12-1-12-2-22-1-122222-1-1-1-122-1-1-1-1-2000000000011-1-1-1-1-10-2-210000-21111000000100
χ322222-1222-122-12-122-1-1-1-12-1-12-2-2-2-1-122-2-2-2-1-111-2-21111-2000000000011-1-111102-210000211-1-1000000-100
χ332222-1222-122-12-1-2-2-1-1-1-12-1-1222211-2-2-222-1-111-2-2111120000000000-1-111-1-1-102-2-10000-21111000000-100
χ342222-1222-122-12-1-2-2-1-1-1-12-1-1222-211-2-22-2-2-1-1-1-122-1-1-1-120000000000-1-1111110-2-2-10000211-1-1000000100
χ352222-1222-122-12-1-2-2-1-1-1-12-1-12-2-2211-2-2-222-1-111-2-21111-200000000001111-1-1-10-22100002-1-1-1-1000000100
χ362222-1222-122-12-1-2-2-1-1-1-12-1-12-2-2-211-2-22-2-2-1-1-1-122-1-1-1-1-20000000000111111102210000-2-1-111000000-100
χ372-2-2222-22-2-2-2-2222-22-2-22-22-220002-22-2000-220000000002-200002-200002-200000002-200000002-20000000
χ382-2-2222-22-2-2-2-2222-22-2-22-22-220002-22-2000-22000000000-220000-2200002-20000000-220000000-220000000
χ392-2-2222-22-2-2-2-222-222-2-22-22-22000-22-22000-220000000002-20000-220000-2200000002-20000000-220000000
χ402-2-2222-22-2-2-2-222-222-2-22-22-22000-22-22000-22000000000-2200002-20000-220000000-2200000002-20000000
χ412-2-222-1-22-211-2-122-2-111-112-2-10002-2-110−i3i31-100−i3i3−i3−i3i3i302-200−i3i32-2−i3i300-110−i3i30000-11−i3i300000-110000000
χ422-2-222-1-22-211-2-122-2-111-112-2-10002-2-110−i3i31-100−i3i3−i3−i3i3i30-2200i3−i3-22i3−i300-110−i3i300001-1i3−i3000001-10000000
χ432-2-222-1-22-211-2-122-2-111-112-2-10002-2-110i3−i31-100i3−i3i3i3−i3−i302-200i3−i32-2i3−i300-110i3−i30000-11i3−i300000-110000000
χ442-2-222-1-22-211-2-122-2-111-112-2-10002-2-110i3−i31-100i3−i3i3i3−i3−i30-2200−i3i3-22−i3i300-110i3−i300001-1−i3i3000001-10000000
χ452-2-222-1-22-211-2-12-22-111-112-2-1000-221-10−i3i31-100i3−i3i3i3−i3−i302-200−i3i3-22−i3i3001-10−i3i30000-11i3−i3000001-10000000
χ462-2-222-1-22-211-2-12-22-111-112-2-1000-221-10−i3i31-100i3−i3i3i3−i3−i30-2200i3−i32-2i3−i3001-10−i3i300001-1−i3i300000-110000000
χ472-2-222-1-22-211-2-12-22-111-112-2-1000-221-10i3−i31-100−i3i3−i3−i3i3i302-200i3−i3-22i3−i3001-10i3−i30000-11−i3i3000001-10000000
χ482-2-222-1-22-211-2-12-22-111-112-2-1000-221-10i3−i31-100−i3i3−i3−i3i3i30-2200−i3i32-2−i3i3001-10i3−i300001-1i3−i300000-110000000
χ4944444-2-4-44-2-24-2400-2-2-2-22-4-42000000000022000000000004-4-2-2002200000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-2-2-22-4-4200000000002200000000000-442200-2-200000000000000000000000000000
χ514444-24-4-4-244-24-200-2-2-2-2-422-444000000002200000000-40000000000-2-2000000002000000000000000000
χ524444-24-4-4-244-24-200-2-2-2-2-422-4-4-4000000002200000000400000000002200000000-2000000000000000000
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
χ5744-4-44400-44-44-4-40044-4-400004i−4i000000000000000000000000000004i−4i000000000000000000000000000
χ5844-4-44400-44-44-4-40044-4-40000−4i4i00000000000000000000000000000−4i4i000000000000000000000000000
χ5944-4-4-240024-4-2-4200-2-22200004i−4i00000000006−6006−66−600000000000−2i2i0000000000000000i6−i6000000000
χ6044-4-4-240024-4-2-4200-2-22200004i−4i0000000000−6600−66−6600000000000−2i2i0000000000000000−i6i6000000000
χ6144-4-4-240024-4-2-4200-2-2220000−4i4i00000000006−6006−66−6000000000002i−2i0000000000000000−i6i6000000000
χ6244-4-4-240024-4-2-4200-2-2220000−4i4i0000000000−6600−66−66000000000002i−2i0000000000000000i6−i6000000000
χ634-44-444004-44-4-4-4004-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-444004-44-4-4-4004-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-44444-4-4-4-4-444004-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-422-4-2400-222-2-2-4420000000000-220000000000000−2i32i3002i3−2i300000000000000000000000000000
χ674-4-444-24-4-422-4-2400-222-2-2-4420000000000-2200000000000002i3−2i300−2i32i300000000000000000000000000000
χ684-4-44-244-42-4-424-200-222-242-2-40000000000-2200000000000000000000000000000000000−2i32i300000000000
χ694-4-44-244-42-4-424-200-222-242-2-40000000000-22000000000000000000000000000000000002i3−2i300000000000
χ704-4-44-24-442-4-424-24-4-222-2-4-224000-224-40002-2000000000000000000000-220000000000000000000000000
χ714-4-44-24-442-4-424-2-44-222-2-4-2240002-2-440002-20000000000000000000002-20000000000000000000000000
χ724-4-44-2-2-442222-2-24-41-1-112-22-2000-22-220−2i32i3-1100−2i32i3i3i3−i3−i300000000000001-10i3−i30000000000000000000000
χ734-4-44-2-2-442222-2-24-41-1-112-22-2000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i300000000000001-10−i3i30000000000000000000000
χ744-4-44-2-2-442222-2-2-441-1-112-22-20002-22-20−2i32i3-11002i3−2i3−i3−i3i3i30000000000000-110i3−i30000000000000000000000
χ754-4-44-2-2-442222-2-2-441-1-112-22-20002-22-202i3−2i3-1100−2i32i3i3i3−i3−i30000000000000-110−i3i30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-8-4484-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-4440022-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-4440022-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-88-40084-4-84-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-4-884-8400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-4444002-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-400-44-4444002-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-4002-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000

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