Finite Group Databasebeta

← Group #11878568

Character table — Group #11878568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order1222334466666623466612121212446666121212121212121212122244661212121212121212244466688121212242424248888121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111111-1-1-1-1
χ7111111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1111111-1-1
χ8111111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-11111-1-1-1-1-1-111
χ911111111111111-11-111111111-1-1-1-1-111-1-1-1-111-1-11-11-111111-111-1-1-111-1-1-1-11-111-111-1-111-1-1-11-11
χ1011111111111111-11-111111111-1-1-1-1-111-1-1-1-111-1-11-11-111111-111-1-1-11-11-1-1-1-1111-1-1-111-1-1111-11-1
χ1111111111111111-11-111111111-1-1-1-1-111-1-1-1-111-1-1-11-11-1-1-1-11-111-1-11-11-11111-1-1-1111-1-1-1-111-111-1
χ1211111111111111-11-111111111-1-1-1-1-111-1-1-1-111-1-1-11-11-1-1-1-11-111-1-11-1-11111-11-1-11-1-11111-1-11-1-11
χ1311111111111111-11-11111111-11-1-1-1-1-1-1-1-11111-1-11-11-11111-11-1-1111-11-1-111-11-1-1-1-1-111-1-111-11-11
χ1411111111111111-11-11111111-11-1-1-1-1-1-1-1-11111-1-11-11-11111-11-1-1111-1-11-1111-1-1-1-111-1-111-1-11-11-1
χ1511111111111111-11-11111111-11-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-11-1-111-111-11-1-1-11111-1-11111-1-1-111-1
χ1611111111111111-11-11111111-11-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-11-1-111-11-111-1-11-111111-1-1-1-1111-1-11
χ17222222-2-222222222-2222-2-2-2-200222200-2-200-2-2-2-22-2-2222-2-20000000000-20000002000000000000
χ18222222-2-222222222-2222-2-2-2-200222200-2-200-2-2-2-2-222-2-2-22200000000002000000-2000000000000
χ19222222-2-2222222-222222-2-2-2-200-2-2-2-2002200-2-22222-2-222-2-200000000002000000-2000000000000
χ20222222-2-2222222-222222-2-2-2-200-2-2-2-2002200-2-222-2-222-2-2220000000000-20000002000000000000
χ2122222-122-122-12-12-12-1-1-12-1-12222-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12200-1-1-100-1-1-1000000000000
χ2222222-122-122-12-12-12-1-1-12-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-2-20011100111000000000000
χ2322222-122-122-12-12-12-1-1-12-1-12-2-22-1-1-1112-111-1-1-1-12222-1-1-1-1-2-21111-2-200-1110011-1000000000000
χ2422222-122-122-12-12-12-1-1-12-1-12-2-22-1-1-1112-111-1-1-1-1-2-2-2-21111-2-2111122001-1-100-1-11000000000000
χ2522222-122-122-12-1-2-1-2-1-1-12-1-122-2-2111-1-1-2111-1-1112-22-2-1-1-1-12-2-1-111-220011100-1-11000000000000
χ2622222-122-122-12-1-2-1-2-1-1-12-1-122-2-2111-1-1-2111-1-111-22-2211112-2-1-1112-200-1-1-10011-1000000000000
χ2722222-122-122-12-1-2-1-2-1-1-12-1-12-22-211111-21-1-1-1-1112-22-2-1-1-1-1-2211-1-12-2001-1-100111000000000000
χ2822222-122-122-12-1-2-1-2-1-1-12-1-12-22-211111-21-1-1-1-111-22-221111-2211-1-1-2200-11100-1-1-1000000000000
χ2922222-1-2-2-122-12-12-1-2-1-1-1-211-2002-1-1-1−i3i3-21−i3i311112-2-22-1-11100−i3i3−i3i300001−i3i300−i3i3-1000000000000
χ3022222-1-2-2-122-12-12-1-2-1-1-1-211-2002-1-1-1−i3i3-21−i3i31111-222-211-1-100−i3i3−i3i30000-1i3−i300i3−i31000000000000
χ3122222-1-2-2-122-12-12-1-2-1-1-1-211-2002-1-1-1i3−i3-21i3−i311112-2-22-1-11100i3−i3i3−i300001i3−i300i3−i3-1000000000000
χ3222222-1-2-2-122-12-12-1-2-1-1-1-211-2002-1-1-1i3−i3-21i3−i31111-222-211-1-100i3−i3i3−i30000-1−i3i300−i3i31000000000000
χ3322222-1-2-2-122-12-1-2-12-1-1-1-211-200-2111−i3i32-1i3−i311-1-122-2-2-1-11100−i3i3i3−i30000-1i3−i300−i3i31000000000000
χ3422222-1-2-2-122-12-1-2-12-1-1-1-211-200-2111−i3i32-1i3−i311-1-1-2-22211-1-100−i3i3i3−i300001−i3i300i3−i3-1000000000000
χ3522222-1-2-2-122-12-1-2-12-1-1-1-211-200-2111i3−i32-1−i3i311-1-122-2-2-1-11100i3−i3−i3i30000-1−i3i300i3−i31000000000000
χ3622222-1-2-2-122-12-1-2-12-1-1-1-211-200-2111i3−i32-1−i3i311-1-1-2-22211-1-100i3−i3−i3i300001i3−i300−i3i3-1000000000000
χ372222-12222-1-12-122-12-1-1-1-122-122-12-1-122-1222-1-1-1-100000000-1-1-1-1-1-1002200022000-1-1-1-10000-1-100
χ382222-12222-1-12-122-12-1-1-1-122-122-12-1-122-1222-1-1-1-100000000-1-1-1-1-1-100-2-2000-2-2000111100001100
χ392222-12222-1-12-122-12-1-1-1-122-1-2-2-12-1-1-2-2-12-2-2-1-1-1-1000000001111110022000-2-200011110000-1-100
χ402222-12222-1-12-122-12-1-1-1-122-1-2-2-12-1-1-2-2-12-2-2-1-1-1-10000000011111100-2-200022000-1-1-1-100001100
χ412222-12222-1-12-12-2-1-2-1-1-1-122-12-21-211221-2-2-2-1-11100000000-11-1-111002-20002-2000-1-11100001-100
χ422222-12222-1-12-12-2-1-2-1-1-1-122-12-21-211221-2-2-2-1-11100000000-11-1-11100-22000-2200011-1-10000-1100
χ432222-12222-1-12-12-2-1-2-1-1-1-122-1-221-211-2-21-222-1-111000000001-111-1-1002-2000-2200011-1-100001-100
χ442222-12222-1-12-12-2-1-2-1-1-1-122-1-221-211-2-21-222-1-111000000001-111-1-100-220002-2000-1-1110000-1100
χ454444-24-4-44-2-24-244-2-4-2-2-22-4-4200-24-2-2002-400222200000000000000000000000000000000000000
χ464444-24-4-44-2-24-24-4-24-2-2-22-4-42002-42200-240022-2-200000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414111-2-2-2-244-2-211-2-2-2-2-2-2111100000000-2-21111000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414111-2-2-2-2-4-4-2-21122-2-22211110000000022-1-1-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-4111-2-2-2-24-422-1-1-2-2222211-1-100000000-2211-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-4111-2-2-2-2-4422-1-12222-2-211-1-1000000002-2-1-111000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4111222200-2-211−2i32i322−2i32i3-1-1-1-10000000000i3−i3i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4111222200-2-2112i3−2i3222i3−2i3-1-1-1-10000000000−i3i3−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-41411122220022-1-1−2i32i3-2-22i3−2i3-1-1110000000000i3−i3−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-41411122220022-1-12i3−2i3-2-2−2i32i3-1-1110000000000−i3i3i3−i3000000000000000000000000
χ5544-4-44400-44-44-4-4040-44-400000000000000000000000000000000000000000000000000−2i22i2000000
χ5644-4-44400-44-44-4-4040-44-4000000000000000000000000000000000000000000000000002i2−2i2000000
χ574-44-4444-4-4-4-4-444040-4-44-44-440000000000004-40000000000000000000000000000000000000000
χ584-44-444-44-4-4-4-444040-4-444-44-4000000000000-440000000000000000000000000000000000000000
χ594-44-44-24-42-4-424-20-2022-2-4-224000000000000-22000000−2i32i3−2i32i3000000000000000000000000000000
χ604-44-44-24-42-4-424-20-2022-2-4-224000000000000-220000002i3−2i32i3−2i3000000000000000000000000000000
χ614-44-44-2-442-4-424-20-2022-242-2-40000000000002-2000000−2i32i32i3−2i3000000000000000000000000000000
χ624-44-44-2-442-4-424-20-2022-242-2-40000000000002-20000002i3−2i3−2i32i3000000000000000000000000000000
χ634-44-4-244-4-422-4-240-2022-224-4-2000000000000-22000000000000000000000000000000−2i32i300000000
χ644-44-4-244-4-422-4-240-2022-224-4-2000000000000-220000000000000000000000000000002i3−2i300000000
χ654-44-4-24-44-422-4-240-2022-2-2-4420000000000002-2000000000000000000000000000023−230000000000
χ664-44-4-24-44-422-4-240-2022-2-2-4420000000000002-20000000000000000000000000000−23230000000000
χ674-4-4444004-44-4-4-40404-4-40000000000000000000000000000000000000000000000000000−2i22i20000
χ684-4-4444004-44-4-4-40404-4-400000000000000000000000000000000000000000000000000002i2−2i20000
χ6988-8-88-40048-8-4-840-404-440000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4800-8-4484-80-404-440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-4004-44-444020-22-20000000000000000006i−6i00000000000000000000000000000000000000
χ7288-8-8-4-4004-44-444020-22-2000000000000000000−6i6i00000000000000000000000000000000000000
χ738-88-8-4-48-84444-4-4020-2-224-44-40000000000002-20000000000000000000000000000000000000000
χ748-88-8-4-4-884444-4-4020-2-22-44-44000000000000-220000000000000000000000000000000000000000
χ758-8-888-400-4-884-840-40-4440000000000000000000000000000000000000000000000000000000000
χ768-8-88-480084-4-84-80-40-4440000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-44-44440202-2-2000000006-6000000000000000000000000000000000000000000000000
χ788-8-88-4-400-44-44440202-2-200000000-66000000000000000000000000000000000000000000000000

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