Finite Group Databasebeta

← Group #11895901

Character table — Group #11895901

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order122233446666663666121212124481212121224242424242424244444448888121212121212121212442441212121212242424242246121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111-1-1-111111111111-1-1-11-1-1-1111-1-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111-11-1-1-1111-1-1-1-11111111-1-11-1111-1-1-111-1-1-1-1-111-1-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1111-111-1-1111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11-1-1-1-111-1-111-111-1-1-1-1-11111-11-11-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-111-1-1-1-1-11111-1-11-1111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-11111-1-111-111111-1-1-1-1-1-1111-111-1-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-11111-1-1-1-111-1-1-11-1-111-1-1-1-1-11-1111
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11111-1-1-1-1-1-1111-111-1-111-1-1-1-11-111
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-11111-1-1111-1-1-1-1-11111111111-1-1-1-1
χ131111111111111111111111-1-11-1-11111111111111-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-11111-1-11-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11-1-1-1-11111-111-11-1
χ151111111111111111111111-1-11-1-11111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-111-1-1-111-1
χ161111111111111111111111-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-200-20000220000000220002-2-200000000-200000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-20020000220000000-2-2000-22-200000000200000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-22200-20000-2-20000000-2-20002-2200000000200000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-220020000-2-2000000022000-22200000000-200000
χ2122222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1020002220000-1-12-1-1-1-100202-1-1000-1-100000-1-1000
χ2222222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-122-1-1-1-10-2000-2-2-20000-1-12-1-1-1-100-20-211000110000011000
χ2322222-12222-1-1-12-1-1-1-12-1-122-2-222-1-111-2-21111020002-2-20000-11-211-1-10020-2-1-10001100000-11000
χ2422222-12222-1-1-12-1-1-1-12-1-122-2-222-1-111-2-211110-2000-2220000-11-211-1-100-20211000-1-1000001-1000
χ2522222-12222-1-1-12-1-1-1-12-1-12-22-2-2-2-1-111-2-21111020002-2-200001-12-1-11100-202-1-100011000001-1000
χ2622222-12222-1-1-12-1-1-1-12-1-12-22-2-2-2-1-111-2-211110-2000-22200001-12-1-1110020-211000-1-100000-11000
χ2722222-12222-1-1-12-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-102000222000011-2111100-20-2-1-1000-1-10000011000
χ2822222-12222-1-1-12-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-10-2000-2-2-2000011-2111100202110001100000-1-1000
χ292222-1222-1-1222-1-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-12022200022-1-122-1-1-1-1-10002000-1-1-100-1-100000-100
χ302222-1222-1-1222-1-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-1-20-2-2-2000-2-21122-1-1-1-1-1000-2000111001100000100
χ312222-1222-1-1222-1-1-1-1-1-122-12-2-2-1-1-1-1-2-211111120222000-2-2-1-12-2111-1-1000-2000-1-1-1001100000100
χ322222-1222-1-1222-1-1-1-1-1-122-12-2-2-1-1-1-1-2-2111111-20-2-2-200022112-2111-1-1000200011100-1-100000-100
χ332222-1222-1-1222-1-1-1-1-1-122-1-22-211-1-1-2-2111111202-2-2000-2-2-1-1-22-1-1-1110002000-111001100000-100
χ342222-1222-1-1222-1-1-1-1-1-122-1-22-211-1-1-2-2111111-20-2220002211-22-1-1-111000-20001-1-100-1-100000100
χ352222-1222-1-1222-1-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-1202-2-200022-1-1-2-211111000-2000-11100-1-100000100
χ362222-1222-1-1222-1-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-1-20-222000-2-211-2-21111100020001-1-1001100000-100
χ372-22-222-222-22-2-2-22-2-22-22-2200000-22000000000002i−2i02i−2i00000000000000000002i−2i2i−2i002-2000000
χ382-22-222-222-22-2-2-22-2-22-22-2200000-22000000000002i−2i0−2i2i00000000000000000002i−2i−2i2i00-22000000
χ392-22-222-222-22-2-2-22-2-22-22-2200000-2200000000000−2i2i02i−2i0000000000000000000−2i2i2i−2i00-22000000
χ402-22-222-222-22-2-2-22-2-22-22-2200000-2200000000000−2i2i0−2i2i0000000000000000000−2i2i−2i2i002-2000000
χ4144444-2-4-444-2-2-24-2-2-2-2-422-400000220000000004000-4000000000000000000-22000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2-422-40000022000000000-400040000000000000000002-2000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-22-4-4200000220000000040-40000000-2-200000000000000200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-22-4-42000002200000000-40400000002200000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-1000000000000-222-1-1110000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-10000000000002-2-211-1-10000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-44400-44-44-4-444-4-400000000000000000000000000022−2200000000000000000000022−2200000000
χ5044-4-44400-44-44-4-444-4-4000000000000000000000000000−2222000000000000000000000−222200000000
χ5144-4-4-24002-2-44-42-2-2220000000000000i6−i6i6i6−i6−i60000000022−22−2i32i30000000000000000000−2200000000
χ5244-4-4-24002-2-44-42-2-2220000000000000i6−i6i6i6−i6−i600000000−22222i3−2i300000000000000000002−200000000
χ5344-4-4-24002-2-44-42-2-2220000000000000−i6i6−i6−i6i6i60000000022−222i3−2i30000000000000000000−2200000000
χ5444-4-4-24002-2-44-42-2-2220000000000000−i6i6−i6−i6i6i600000000−2222−2i32i300000000000000000002−200000000
χ554-44-4444-44-44-4-4-44-4-444-44-4000004-40000000000000000000000000000000000000000000000000
χ564-44-44-24-44-4-222-4-222-242-2-400000-2223−230023−2323−2300000000000000000000000000000000000000000
χ574-44-44-24-44-4-222-4-222-242-2-400000-22−232300−2323−232300000000000000000000000000000000000000000
χ584-44-44-2-444-4-222-4-222-2-4-224000002-2000000000000004i−4i000000000000000000000−2i2i0000000000
χ594-44-44-2-444-4-222-4-222-2-4-224000002-200000000000000−4i4i0000000000000000000002i−2i0000000000
χ604-44-4-244-4-224-4-42-222-2-2-442000−2i32i3-220000000000000000000000000−2i32i30000000000000000000000
χ614-44-4-244-4-224-4-42-222-2-2-4420002i3−2i3-2200000000000000000000000002i3−2i30000000000000000000000
χ624-44-4-24-44-224-4-42-222-224-4-2000002-2000000000004i−4i0000000000000000000000−2i2i000000000000
χ634-44-4-24-44-224-4-42-222-224-4-2000002-200000000000−4i4i00000000000000000000002i−2i000000000000
χ644-44-4-2-24-4-22-22221-1-11-22-22000−2i32i31-123−2300−33−330000000000000003i−3ii3−i30000000000000000000000
χ654-44-4-2-24-4-22-22221-1-11-22-22000−2i32i31-1−2323003−33−3000000000000000−3i3ii3−i30000000000000000000000
χ664-44-4-2-24-4-22-22221-1-11-22-220002i3−2i31-123−2300−33−33000000000000000−3i3i−i3i30000000000000000000000
χ674-44-4-2-24-4-22-22221-1-11-22-220002i3−2i31-1−2323003−33−30000000000000003i−3i−i3i30000000000000000000000
χ684-4-444400-4-4-4-4444-44-4000000000000000000000000000000000000004-400000000000000000000
χ694-4-444400-4-4-4-4444-44-400000000000000000000000000000000000000-4400000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400-884-44-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-44-44422-2-200000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000
χ7388-8-8-4-4004-44-44422-2-20000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000
χ748-88-8-4-4-88-44-44442-2-224-44-400000-220000000000000000000000000000000000000000000000000
χ758-8-888-400-8-844-48-44-44000000000000000000000000000000000000000000000000000000000000
χ768-8-88-480044-8-88-4-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004444-4-42-22-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ788-8-88-4-4004444-4-42-22-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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