Finite Group Databasebeta

← Group #11889307

Character table — Group #11889307

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order1222334466666636661212121244448121212122424242424242424224448812121212121212121224466812121224242424224488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-11111111111-1-1-11111-111-1-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1111-1111-1-111-111-1-1-11-1-1-1-11111-1-111-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1111-1-11-11-11-1-1-1-1-1-111-1-1-1-1111-111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-11-1-1-111-1-1111-1111-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-11-111-11111-11-1-1-111-11-1-11-111-1-1-11111-1-111-11-1-1
χ7111111111111111111111111-1-11-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-1-1-1-1111
χ91111111111111111111111-1-1111111111111111-11-1-1111-1-11111111-1111-1-1-1-11-1-111-1-1-1-1-1-1-111-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-11-11-1111111-1-1-1-1-1-111-11-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11-1111-1-1-1-11-1-1111-111111111-1-1-1-11-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-11-1-1-1111-111-11-1-1111-1-111-1-1111-11-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-11111-1-1-11-1-1-11111-1-111-1-111-11
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11111-1-1-1-11-1-11
χ161111111111111111111111-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-11111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2200-2002200000000002-2000-20000002-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-200200220000000000-2-20002000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002200-200-2-2000000000022000-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-200200-2-20000000000-2200020000002-2000000
χ2122222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-1-1-122-1-1-1-12022000-1-122-1-1-1-1-12000-12-1-10-1-100000000-1000
χ2222222-12222-1-1-12-1-1-1-12-1-12222-2-211-1-111-2-2111120-2-2000-1-12-2-1-1-1112000-1-21101100000000-1000
χ2322222-12222-1-1-12-1-1-1-12-1-1222-22-2-1-1-1-111-2-211112022000-1-1-22111-1-1-2000-1-2-1-1011000000001000
χ2422222-12222-1-1-12-1-1-1-12-1-1222-2-2211-1-1-1-122-1-1-1-120-2-2000-1-1-2-211111-2000-12110-1-1000000001000
χ2522222-12222-1-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-122-1-1-1-1-20-2-20001122-1-1-1-1-1-20001-211011000000001000
χ2622222-12222-1-1-12-1-1-1-12-1-12-2-22-2-211-1-111-2-21111-2022000112-2-1-1-111-200012-1-10-1-1000000001000
χ2722222-12222-1-1-12-1-1-1-12-1-12-2-2-22-2-1-1-1-111-2-21111-20-2-200011-22111-1-1200012110-1-100000000-1000
χ2822222-12222-1-1-12-1-1-1-12-1-12-2-2-2-2211-1-1-1-122-1-1-1-1-202200011-2-21111120001-2-1-101100000000-1000
χ292222-1222-1-1222-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1020022200-1-12-1-1-1-1022-10000-100-1-10000000-1-10
χ302222-1222-1-1222-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-10-200-2-2-200-1-12-1-1-1-10-2-210000100110000000110
χ312222-1222-1-1222-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-211111102002-2-200-112-1-11102-2-10000-100110000000-110
χ322222-1222-1-1222-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-21111110-200-22200-112-1-1110-2210000100-1-100000001-10
χ332222-1222-1-1222-1-1-1-1-1-122-100-22-222-1-1-2-211111102002-2-2001-1-211-1-10-22-10000-1001100000001-10
χ342222-1222-1-1222-1-1-1-1-1-122-100-22-222-1-1-2-21111110-200-222001-1-211-1-102-210000100-1-10000000-110
χ352222-1222-1-1222-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-102002220011-211110-2-2-10000-100-1-10000000110
χ362222-1222-1-1222-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-10-200-2-2-20011-2111102210000100110000000-1-10
χ372-22-2222-2-2-2-22-2222-2-22-22-200000002-200000000002i−2i02i−2i0000000000000002i−2i0002i−2i2-200000000
χ382-22-2222-2-2-2-22-2222-2-22-22-200000002-200000000002i−2i0−2i2i0000000000000002i−2i000−2i2i-2200000000
χ392-22-2222-2-2-2-22-2222-2-22-22-200000002-20000000000−2i2i02i−2i000000000000000−2i2i0002i−2i-2200000000
χ402-22-2222-2-2-2-22-2222-2-22-22-200000002-20000000000−2i2i0−2i2i000000000000000−2i2i000−2i2i2-200000000
χ4144444-2-4-444-2-2-24-2-2-2-2-422-444000002200000000-4000000-2-2000000000002000000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2-422-4-4-400000220000000040000002200000000000-2000000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-22-4-42000000022000000000400-400000000000000-20000200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-22-4-42000000022000000000-40040000000000000020000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-22-211-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-10000000002-22-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-444004-4-4-44-44-44-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ5044-4-444004-4-4-44-44-44-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ514-44-444-44-4-4-44-4444-4-4-44-440000000-4400000000000000000000000000000000000000000000000
χ524-44-44-24-4-4-42-224-2-22242-2-40000000-2200000000004i−4i000000000000000000−2i2i000000000000000
χ534-44-44-24-4-4-42-224-2-22242-2-40000000-220000000000−4i4i0000000000000000002i−2i000000000000000
χ544-44-44-2-44-4-42-224-2-222-4-2240000023−232-2000000000000000000000023−2300000000000000000000000
χ554-44-44-2-44-4-42-224-2-222-4-22400000−23232-20000000000000000000000−232300000000000000000000000
χ564-44-4-244-422-44-4-2-2-222-2-4420000000-2200000000000004i−4i00000000000000000000−2i2i0000000000
χ574-44-4-244-422-44-4-2-2-222-2-4420000000-220000000000000−4i4i000000000000000000002i−2i0000000000
χ584-44-4-24-4422-44-4-2-2-22224-4-200000002-200−2i32i3−2i3−2i32i32i3000000000000000000000000000000000000000
χ594-44-4-24-4422-44-4-2-2-22224-4-200000002-2002i3−2i32i32i3−2i3−2i3000000000000000000000000000000000000000
χ604-44-4-2-2-44222-22-211-1-12-22-20000023−23-1100−2i32i3i3i3−i3−i30000000000003i−3i−3300000000000000000000000
χ614-44-4-2-2-44222-22-211-1-12-22-20000023−23-11002i3−2i3−i3−i3i3i3000000000000−3i3i−3300000000000000000000000
χ624-44-4-2-2-44222-22-211-1-12-22-200000−2323-1100−2i32i3i3i3−i3−i3000000000000−3i3i3−300000000000000000000000
χ634-44-4-2-2-44222-22-211-1-12-22-200000−2323-11002i3−2i3−i3−i3i3i30000000000003i−3i3−300000000000000000000000
χ644-4-444400-444-4-4-44-4-4400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ654-4-444400-444-4-4-44-4-440000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ664-4-444-200-44-222-4-222-200004i−4i00000006−6006−66−60000000−2i2i0000000000000000i6−i6000000000000
χ674-4-444-200-44-222-4-222-200004i−4i0000000−6600−66−660000000−2i2i0000000000000000−i6i6000000000000
χ684-4-444-200-44-222-4-222-20000−4i4i00000006−6006−66−600000002i−2i0000000000000000−i6i6000000000000
χ694-4-444-200-44-222-4-222-20000−4i4i0000000−6600−66−6600000002i−2i0000000000000000i6−i6000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-4008-844-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-44-8-884-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4444-442-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ7488-8-8-4-400-4444-442-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ758-88-8-4-48-8444-44-422-2-2-44-4400000002-200000000000000000000000000000000000000000000000
χ768-8-88-48004-48-8-84-444-4000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004-4-44442-2-22000000000000026−2600−66−66000000000000000000000000000000000000000
χ788-8-88-4-4004-4-44442-2-220000000000000−2626006−66−6000000000000000000000000000000000000000

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