Finite Group Databasebeta

← Group #11889767

Character table — Group #11889767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order1222334466666636661212121224812121212242424242424242424444466888866661212122244412121212122424242422412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-111-111111-1-11111111-1-11-1-1-11-11111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111-11-1-11-1-1-1-1-1111111111-1-1-1111-11-1-1-1-111-1-1-111-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-11111-1-1-1-1-1-11111-11-1-1
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-111-111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-111-11-1-1-1-1111111111-11-1-1-1
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111111-1-1-1-1-1-11-11-11-1
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-11-111-1111-1-111-1-1-1-1111-1-1-1-11-11-111-1-11111-11-1-1-11
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1111-1-111-11-11-1-111-1-111-1-111-11
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-1-11111-1-111-111-1
χ131111111111111111111111-1-11-1-1111111111111-1-111111111-1-1-1-1-1-1-111-1-1-1111-1-11111-1-11-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-111-111-11-1
χ151111111111111111111111-1-11-1-11111111111-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11-1111-1-11111-1-1-111-1
χ161111111111111111111111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ17222222-2-22222222222-2-2-2-200000-2-2000000002200-2-22200000000000220002-2-200000000-200000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2002-22200000000000-2-2000-2-2200000000200000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-2200-22-2-200000000000-2-200022-200000000200000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-20022-2-20000000000022000-22200000000-200000
χ2122222-122-12-122-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1202202-1-122002-1-1-12-1-1002000-10-1-1-1-10000000-100
χ2222222-122-12-122-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-20-2-20-211-2-2002-1-1-12-1-100-20001011110000000100
χ2322222-122-12-122-1-1-1-1-1-12-122-2-211-1-1-2-211111120-2-202-1-1-2-2002-1-1-1-211002000-1011110000000-100
χ2422222-122-12-122-1-1-1-1-1-12-122-2-211-1-1-2-2111111-20220-21122002-1-1-1-21100-200010-1-1-1-10000000100
χ2522222-122-12-122-1-1-1-1-1-12-12-22-2-1-1-1-1-2-2111111202202-1-1-2-200-21112-1-100-2000-10-1-1110000000100
χ2622222-122-12-122-1-1-1-1-1-12-12-22-2-1-1-1-1-2-2111111-20-2-20-2112200-21112-1-10020001011-1-10000000-100
χ2722222-122-12-122-1-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-120-2-202-1-12200-2111-21100-2000-1011-1-10000000100
χ2822222-122-12-122-1-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1-20220-211-2-200-2111-21100200010-1-1110000000-100
χ292222-12222-12-1-12-1-1-1-12-12-122222-1-1-1-122-1-1-1-1020020000022-12-1-1-1-1-100022-10-10000-1-1000-1-1000
χ302222-12222-12-1-12-1-1-1-12-12-122222-1-1-1-122-1-1-1-10-200-200000-2-2-12-1-1-1-1-1000-2-210100001100011000
χ312222-12222-12-1-12-1-1-1-12-12-12-2-2-2-2-1-111-2-211110200200000-2-2-12-1-1111000-22-10-1000011000-11000
χ322222-12222-12-1-12-1-1-1-12-12-12-2-2-2-2-1-111-2-211110-200-20000022-12-1-11110002-21010000-1-10001-1000
χ332222-12222-12-1-12-1-1-1-12-12-1-22-222-1-111-2-211110200200000-2-21-211-1-1-10002-2-10-10000110001-1000
χ342222-12222-12-1-12-1-1-1-12-12-1-22-222-1-111-2-211110-200-200000221-211-1-1-1000-221010000-1-1000-11000
χ352222-12222-12-1-12-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-10200200000221-211111000-2-2-10-10000-1-100011000
χ362222-12222-12-1-12-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-10-200-200000-2-21-21111100022101000011000-1-1000
χ372-2-22222-2-2-222-2-22-22-222-2-200000-2200000000002i−2i0000002i−2i0000000000000002i−2i002i−2i2-2000000
χ382-2-22222-2-2-222-2-22-22-222-2-200000-2200000000002i−2i000000−2i2i0000000000000002i−2i00−2i2i-22000000
χ392-2-22222-2-2-222-2-22-22-222-2-200000-220000000000−2i2i0000002i−2i000000000000000−2i2i002i−2i-22000000
χ402-2-22222-2-2-222-2-22-22-222-2-200000-220000000000−2i2i000000−2i2i000000000000000−2i2i00−2i2i2-2000000
χ4144444-2-4-4-24-244-2-2-2-2-22-42-400000220000000040000-4-2-2000000000000000002000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-22-42-4000002200000000-4000042200000000000000000-2000000000000000
χ434444-24-4-44-24-2-24-2-2-2-2-42-420000022000000000400-40000000000000000000-20200000000000000
χ444444-24-4-44-24-2-24-2-2-2-2-42-420000022000000000-4004000000000000000000020-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-211-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-1000000000000-2-2112-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-100000000000022-1-1-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000000022-1-12-1-10000000000000000000000
χ4944-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000004-400000000000000000000
χ5044-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000-4400000000000000000000
χ514-44-44400-4-4-4-4444-4-4400000000000000000000000000022−22000000000000000000022−220000000000
χ524-44-44400-4-4-4-4444-4-44000000000000000000000000000−22220000000000000000000−22220000000000
χ534-44-44-2002-42-44-2-222-20000000000000i6−i6i6i6−i6−i6000000−2i32i322−220000000000000000000−220000000000
χ544-44-44-2002-42-44-2-222-20000000000000i6−i6i6i6−i6−i60000002i3−2i3−222200000000000000000002−20000000000
χ554-44-44-2002-42-44-2-222-20000000000000−i6i6−i6−i6i6i6000000−2i32i3−222200000000000000000002−20000000000
χ564-44-44-2002-42-44-2-222-20000000000000−i6i6−i6−i6i6i60000002i3−2i322−220000000000000000000−220000000000
χ574-4-4444-44-4-444-4-44-44-4-4-444000004-40000000000000000000000000000000000000000000000000
χ584-4-444-24-42-4-24-42-22-22-242-4000002-200000000004i−4i00000000000000000000000−2i2i000000000000
χ594-4-444-24-42-4-24-42-22-22-242-4000002-20000000000−4i4i000000000000000000000002i−2i000000000000
χ604-4-444-2-442-4-24-42-22-222-4-2400023−23-22000000000000000000000000023−230000000000000000000000
χ614-4-444-2-442-4-24-42-22-222-4-24000−2323-220000000000000000000000000−23230000000000000000000000
χ624-4-44-244-4-424-22-4-22-224-2-42000002-20000000000000000004i−4i0000000000000000000−2i2i00000000
χ634-4-44-244-4-424-22-4-22-224-2-42000002-2000000000000000000−4i4i00000000000000000002i−2i00000000
χ644-4-44-24-44-424-22-4-22-22-424-200000-2223−230023−2323−2300000000000000000000000000000000000000000
χ654-4-44-24-44-424-22-4-22-22-424-200000-22−232300−2323−232300000000000000000000000000000000000000000
χ664-4-44-2-2-4422-2-2221-11-122-2-200023−231-123−2300−33−33000000000000003-30−330000000000000000000000
χ674-4-44-2-2-4422-2-2221-11-122-2-200023−231-1−2323003−33−300000000000000-330−330000000000000000000000
χ684-4-44-2-2-4422-2-2221-11-122-2-2000−23231-123−2300−33−3300000000000000-3303−30000000000000000000000
χ694-4-44-2-2-4422-2-2221-11-122-2-2000−23231-1−2323003−33−3000000000000003-303−30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-48008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ758-88-8-4800-84-84-48-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004444-4-42-2-2200000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000
χ778-88-8-4-4004444-4-42-2-220000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000
χ788-8-88-4-48-844-4-4442-22-2-4-44400000-220000000000000000000000000000000000000000000000000

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