Finite Group Databasebeta

← Group #11887839

Character table — Group #11887839

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122244334466666612121212444412121212224444888824444466121212121212288888812121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-111-11-1-1-11111-1-11-1-1-1-1-1-1-111-1
χ311111111111111111111-1-1111111111111-1-1-1-11-1-11-1111-1-1-1-1111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-11-1-11111-1-1111-1-1111-1-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-111-1-1-1-111111-1-111-111-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-1-1-111111111-1-1-111-1-1-1-1-11111-111-1-1-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1-11111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-1-111111-11-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-1-1-111111111111-1-111111-1-1-1-1-111-1-1-1-1-1-111
χ131111-1-111-11111111-1-1-1-11111-11-1111-1-1111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111
χ141111-1-111-11111111-1-1-1-111-1-1-11-1111-1-111-1-1-1-11-111-1-111-1-111-1-1-11111-1-11-11-1
χ151111-1-111-11111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-1-11-1-111-1-111-1-111-11111-1-1-11-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-1111-1-111111111-111-11111-1-1-1-1-1-1-1-1-11111-1-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-22-2-222-2-200000000000000000020000000000
χ212-22-22i−2i2200-2-22-22-22i−2i2i−2i000000002-22i−2i00−i2−i2i2i20000000000000002−22−2−i2i20000
χ222-22-22i−2i2200-2-22-22-22i−2i2i−2i000000002-22i−2i00i2i2−i2−i2000000000000000−22−22i2−i20000
χ232-22-22i−2i2200-2-22-22-22i−2i2i−2i00000000-22−2i2i00−i2−i2i2i2000000000000000−222−2i2−i20000
χ242-22-22i−2i2200-2-22-22-22i−2i2i−2i00000000-22−2i2i00i2i2−i2−i20000000000000002−2−22−i2i20000
χ252-22-2−2i2i2200-2-22-22-2−2i2i−2i2i000000002-2−2i2i00−i2−i2i2i2000000000000000−22−22−i2i20000
χ262-22-2−2i2i2200-2-22-22-2−2i2i−2i2i000000002-2−2i2i00i2i2−i2−i20000000000000002−22−2i2−i20000
χ272-22-2−2i2i2200-2-22-22-2−2i2i−2i2i00000000-222i−2i00−i2−i2i2i20000000000000002−2−22i2−i20000
χ282-22-2−2i2i2200-2-22-22-2−2i2i−2i2i00000000-222i−2i00i2i2−i2−i2000000000000000−222−2−i2i20000
χ292-2-22002200-2-2-22-2200002i−2i2-2000000002-22i−2i2i−2i00000000002i−2i2-200000000000
χ302-2-22002200-2-2-22-2200002i−2i-22000000002-2−2i2i−2i2i00000000002i−2i-2200000000000
χ312-2-22002200-2-2-22-220000−2i2i2-2000000002-2−2i2i−2i2i0000000000−2i2i2-200000000000
χ322-2-22002200-2-2-22-220000−2i2i-22000000002-22i−2i2i−2i0000000000−2i2i-2200000000000
χ334444441-244-21-211-211-2-22200-211-2000000000002202000-1-1-1-10000000000-1-10
χ344444441-244-21-211-211-2-2-2-200-211-200000000000-2-20-200011110000000000110
χ354444441-2-4-4-21-211-211-2-222002-1-12000000000002-20-2000-1-1-1-10000000000110
χ364444441-2-4-4-21-211-211-2-2-2-2002-1-1200000000000-220200011110000000000-1-10
χ37444444-21441-21-2-21-2-21100221-2-210000000000200202-1-10000-1-10000000-100-1
χ38444444-21441-21-2-21-2-21100-2-21-2-210000000000-200-20-21100001100000001001
χ39444444-21-4-41-21-2-21-2-2110022-122-10000000000200-20-2-1-10000-1-100000001001
χ40444444-21-4-41-21-2-21-2-21100-2-2-122-10000000000-200202110000110000000-100-1
χ414444-4-41-24-4-21-211-2-1-1222200-2-11200000000000-2-20200011-1-10000000000-110
χ424444-4-41-24-4-21-211-2-1-122-2-200-2-11200000000000220-2000-1-11100000000001-10
χ434444-4-41-2-44-21-211-2-1-122220021-1-200000000000-220-200011-1-100000000001-10
χ444444-4-41-2-44-21-211-2-1-122-2-20021-1-2000000000002-202000-1-1110000000000-110
χ454444-4-4-214-41-21-2-2122-1-1002212-2-10000000000-20020-2110000-1-10000000-1001
χ464444-4-4-214-41-21-2-2122-1-100-2-212-2-10000000000200-202-1-10000110000000100-1
χ474444-4-4-21-441-21-2-2122-1-10022-1-2210000000000-200-202110000-1-10000000100-1
χ484444-4-4-21-441-21-2-2122-1-100-2-2-1-221000000000020020-2-1-10000110000000-1001
χ4944-4-400440044-4-4-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-400440044-4-4-4-4000000000000000000−222222−220000000000000000000000000
χ514-4-44004400-4-4-44-440000000000000000-4400000000000000000000000000000
χ5288-8-8002-400-424-2-24000000000000000000000000000000−2i32i3000000000000000
χ5388-8-8002-400-424-2-240000000000000000000000000000002i3−2i3000000000000000
χ5488-8-800-42002-4-244-20000000000000000000000000000−2i32i300000000000000000
χ5588-8-800-42002-4-244-200000000000000000000000000002i3−2i300000000000000000
χ568-88-88i−8i2-4004-2-4-2242i−2i−4i4i0000000000000000000000000000000000000000000
χ578-88-88i−8i-4200-2424-4-2−4i4i2i−2i0000000000000000000000000000000000000000000
χ588-88-8−8i8i2-4004-2-4-224−2i2i4i−4i0000000000000000000000000000000000000000000
χ598-88-8−8i8i-4200-2424-4-24i−4i−2i2i0000000000000000000000000000000000000000000
χ608-8-88002-4004-242-2-400004i−4i00000000000000000000000000−2i2i0000000000000
χ618-8-88002-4004-242-2-40000−4i4i000000000000000000000000002i−2i0000000000000
χ628-8-8800-4200-24-2-4420000004-400000000000000000000000000-2200000000000
χ638-8-8800-4200-24-2-442000000-44000000000000000000000000002-200000000000

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