Finite Group Databasebeta

← Group #11889265

Character table — Group #11889265

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212442481212121224242424242424242444488121266661212124446812121212242424242224881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-1111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1111111-1-1-1-1111-111-1-1-1-1-1-11111-1-11-11-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-111-11-1-1-1-1-1-1-111-1-1-1-111-1111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-11-11111-1-1-1-11-1-11-1-1-11-11
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-11-111-11111-1-1-1-1111-1-111-1-1-111-1-111-111-1111-1-1-1
χ7111111111111111111111111-1-11-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-111-1-1-111-11
χ91111111111111111111111-1-1111111111111111-11-1-1111-1-111111111-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1
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
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11111111-1-1-1-1-1-1111-1-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-11-1-1-11-1-11111111111-1-1-11-1-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-111-111-111-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-11-1-1-1-111111-1-11-1-11-111
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-111-1-1-1-1-111
χ161111111111111111111111-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-1111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2200-200220000000000-20-22000000-2002000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-200200220000000000-202-2000000200-2000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002200-200-2-2000000000020-22000000200-2000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-200200-2-20000000000202-2000000-2002000000
χ2122222-122-12-122-1-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-12022000-1-12-1-1-12-1-1020-1200-1-1-1-10000000000-10
χ2222222-122-12-122-1-1-1-1-1-12-12222-2-211-1-1-2-211111120-2-2000-1-12-1-1-1-211020-1-20011110000000000-10
χ2322222-122-12-122-1-1-1-1-1-12-1222-22-2-1-1-1-1-2-21111112022000-1-1-21112-1-10-20-1-200-1-111000000000010
χ2422222-122-12-122-1-1-1-1-1-12-1222-2-2211-1-122-1-1-1-1-1-120-2-2000-1-1-2111-2110-20-120011-1-1000000000010
χ2522222-122-12-122-1-1-1-1-1-12-12-2-2222-1-1-1-122-1-1-1-1-1-1-20-2-2000112-1-1-12-1-10-201-2001111000000000010
χ2622222-122-12-122-1-1-1-1-1-12-12-2-22-2-211-1-1-2-2111111-2022000112-1-1-1-2110-201200-1-1-1-1000000000010
χ2722222-122-12-122-1-1-1-1-1-12-12-2-2-22-2-1-1-1-1-2-2111111-20-2-200011-21112-1-1020120011-1-10000000000-10
χ2822222-122-12-122-1-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-1-202200011-2111-2110201-200-1-1110000000000-10
χ292222-12222-12-1-12-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1020022200-12-1-1-1-1-120200-1-10000-1-1000000-1-100
χ302222-12222-12-1-12-1-1-1-12-12-10022222-1-1-1-122-1-1-1-10-200-2-2-200-12-1-1-1-1-1-20-200110000110000001100
χ312222-12222-12-1-12-1-1-1-12-12-1002-2-2-2-2-1-111-2-2111102002-2-200-12-1-1111-20200-1-1000011000000-1100
χ322222-12222-12-1-12-1-1-1-12-12-1002-2-2-2-2-1-111-2-211110-200-22200-12-1-111120-200110000-1-10000001-100
χ332222-12222-12-1-12-1-1-1-12-12-100-22-222-1-111-2-2111102002-2-2001-211-1-1-120-200-1-10000110000001-100
χ342222-12222-12-1-12-1-1-1-12-12-100-22-222-1-111-2-211110-200-222001-211-1-1-1-20200110000-1-1000000-1100
χ352222-12222-12-1-12-1-1-1-12-12-100-2-22-2-2-1-1-1-122-1-1-1-10200222001-211111-20-200-1-10000-1-10000001100
χ362222-12222-12-1-12-1-1-1-12-12-100-2-22-2-2-1-1-1-122-1-1-1-10-200-2-2-2001-2111112020011000011000000-1-100
χ372-2-22222-2-2-222-2-22-22-222-2-20000000-2200000000002i−2i02i−2i00000000000000002i−2i002i−2i02-20000000
χ382-2-22222-2-2-222-2-22-22-222-2-20000000-2200000000002i−2i0−2i2i00000000000000002i−2i00−2i2i0-220000000
χ392-2-22222-2-2-222-2-22-22-222-2-20000000-220000000000−2i2i02i−2i0000000000000000−2i2i002i−2i0-220000000
χ402-2-22222-2-2-222-2-22-22-222-2-20000000-220000000000−2i2i0−2i2i0000000000000000−2i2i00−2i2i02-20000000
χ4144444-2-4-4-24-244-2-2-2-2-22-42-444000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-22-42-4-4-40000022000000004000000220000000000-20000000000000000000
χ434444-24-4-44-24-2-24-2-2-2-2-42-42000000022000000000400-400000000000000002-20000000000000000
χ444444-24-4-44-24-2-24-2-2-2-2-42-42000000022000000000-40040000000000000000-220000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-211-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-2-2112-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-100000000022-1-1-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-2111100000000022-1-12-1-100000000000000000000000
χ4944-4-444004-4-4-44-44-4-4400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-444004-4-4-44-44-4-440000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-200-2-42-442-222-200004i−4i000000000i6−i6i6i6−i6−i60000000−2i2i00000000000000006−6000000000000
χ5244-4-44-200-2-42-442-222-200004i−4i000000000−i6i6−i6−i6i6i60000000−2i2i0000000000000000−66000000000000
χ5344-4-44-200-2-42-442-222-20000−4i4i000000000i6−i6i6i6−i6−i600000002i−2i0000000000000000−66000000000000
χ5444-4-44-200-2-42-442-222-20000−4i4i000000000−i6i6−i6−i6i6i600000002i−2i00000000000000006−6000000000000
χ554-44-44400-44-4-4-4444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ564-44-44400-44-4-4-4444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ574-4-4444-44-4-444-4-44-44-4-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-444-24-42-4-24-42-22-22-242-400000002-200000000004i−4i0000000000000000000−2i2i00000000000000
χ594-4-444-24-42-4-24-42-22-22-242-400000002-20000000000−4i4i00000000000000000002i−2i00000000000000
χ604-4-444-2-442-4-24-42-22-222-4-240000023−23-22000000000000000000000023−2300000000000000000000000
χ614-4-444-2-442-4-24-42-22-222-4-2400000−2323-220000000000000000000000−232300000000000000000000000
χ624-4-44-244-4-424-22-4-22-224-2-4200000002-200000000000004i−4i00000000000000000000−2i2i0000000000
χ634-4-44-244-4-424-22-4-22-224-2-4200000002-20000000000000−4i4i000000000000000000002i−2i0000000000
χ644-4-44-24-44-424-22-4-22-22-424-20000000-2223−230023−2323−23000000000000000000000000000000000000000
χ654-4-44-24-44-424-22-4-22-22-424-20000000-22−232300−2323−2323000000000000000000000000000000000000000
χ664-4-44-2-2-4422-2-2221-11-122-2-20000023−231-123−2300−33−33000000000003-30−3300000000000000000000000
χ674-4-44-2-2-4422-2-2221-11-122-2-20000023−231-1−2323003−33−300000000000-330−3300000000000000000000000
χ684-4-44-2-2-4422-2-2221-11-122-2-200000−23231-123−2300−33−3300000000000-3303−300000000000000000000000
χ694-4-44-2-2-4422-2-2221-11-122-2-200000−23231-1−2323003−33−3000000000003-303−300000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-480084-84-4-8-444-4000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4444-442-2-220000000000000002i6−2i6−i6−i6i6i6000000000000000000000000000000000000000
χ7388-8-8-4-400-4444-442-2-22000000000000000−2i62i6i6i6−i6−i6000000000000000000000000000000000000000
χ748-88-88-400484-8-8-4-4-444000000000000000000000000000000000000000000000000000000000000
χ758-88-8-4800-8-4-8448-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-4444-422-2-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ778-88-8-4-4004-4444-422-2-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ788-8-88-4-48-844-4-4442-22-2-4-4440000000-2200000000000000000000000000000000000000000000000

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