Finite Group Databasebeta

← Group #11872232

Character table — Group #11872232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212122222444412121212121244442444666612121212121224888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-1111111-1-11111-1-111-1-111-1-11111-1-111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1111111-1-11111-1-111-1-111-1-11111-1-11111-11-1111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-1-111111111-1-1-1-1-1-1-1-111
χ91111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-11111-1-111-1-111-11-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-111-1-11111-1-111111-1-1-11111-1-1-1-111-1-111-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-111-1-11111-1-111111-1-1-111-1-111-1-111-1-1-1-111-1111-1-1-111-1
χ131111-1-111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-1-1-1111-1-1-1111-11-1
χ141111-1-111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-111-11111-1-111-1-11-111-1-1-11-11
χ151111-1-111-1111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1-11-1-1-1-111-1-1111-111-1-11-1-11
χ161111-1-111-1111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111-1-1-1-1-11111-1-11-1-1-111-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-2-2-2220000000000002-222-2-2000000000000002-200000000
χ202222-2-222-2222222222-2-2-2-2-2-2000000000000-2222-2-200000000000000-2200000000
χ212-22-22i−2i22002-2-22-2-2002i−2i2i−2i00002-2002i−2i0000002i−2i2-20000002-22i−2i00000000000000
χ222-22-22i−2i22002-2-22-2-2002i−2i2i−2i0000-2200−2i2i0000002i−2i2-2000000-22−2i2i00000000000000
χ232-22-22i−2i22002-2-22-2-2002i−2i2i−2i002-2002i−2i002i2i−2i−2i00−2i2i-2200002-2000000000000000000
χ242-22-22i−2i22002-2-22-2-2002i−2i2i−2i00-2200−2i2i00−2i−2i2i2i00−2i2i-220000-22000000000000000000
χ252-22-2−2i2i22002-2-22-2-200−2i2i−2i2i00002-200−2i2i000000−2i2i2-20000002-2−2i2i00000000000000
χ262-22-2−2i2i22002-2-22-2-200−2i2i−2i2i0000-22002i−2i000000−2i2i2-2000000-222i−2i00000000000000
χ272-22-2−2i2i22002-2-22-2-200−2i2i−2i2i002-200−2i2i00−2i−2i2i2i002i−2i-2200002-2000000000000000000
χ282-22-2−2i2i22002-2-22-2-200−2i2i−2i2i00-22002i−2i002i2i−2i−2i002i−2i-220000-22000000000000000000
χ294444441-244-21-21-21-2-211-2-2-2-20000000000001100002222000000-1-1-1-1000000-1-100
χ304444441-244-21-21-21-2-211-2-2-2-2000000000000110000-2-2-2-200000011110000001100
χ314444441-2-4-4-21-21-212211-2-222000000000000-1-100002-22-20000001111000000-1-100
χ324444441-2-4-4-21-21-212211-2-222000000000000-1-10000-22-22000000-1-1-1-10000001100
χ33444444-21441-21-21-211-2-2111122222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ34444444-21441-21-21-211-2-21111-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ35444444-21-4-41-21-21-2-1-1-2-211-1-122-2-222-2-2-1-1-1-12200000000-1-1111100000000000000
χ36444444-21-4-41-21-21-2-1-1-2-211-1-1-2-222-2-2221111220000000011-1-1-1-100000000000000
χ374444-4-41-24-4-21-21-2122-1-122-2-20000000000001-1000022-2-2000000-1-111000000-1100
χ384444-4-41-24-4-21-21-2122-1-122-2-20000000000001-10000-2-22200000011-1-10000001-100
χ394444-4-41-2-44-21-21-21-2-2-1-12222000000000000-1100002-2-2200000011-1-1000000-1100
χ404444-4-41-2-44-21-21-21-2-2-1-12222000000000000-110000-222-2000000-1-1110000001-100
χ414444-4-4-214-41-21-21-2-1-122-1-11122-2-2-2-2221111-2200000000-1-111-1-100000000000000
χ424444-4-4-214-41-21-21-2-1-122-1-111-2-22222-2-2-1-1-1-1-220000000011-1-11100000000000000
χ434444-4-4-21-441-21-21-21122-1-1-1-12222-2-2-2-211112-200000000-1-1-1-11100000000000000
χ444444-4-4-21-441-21-21-21122-1-1-1-1-2-2-2-22222-1-1-1-12-2000000001111-1-100000000000000
χ4544-4-4004400-44-4-44-4000000000000000000000000000000000000000000−2i22i2000000
χ4644-4-4004400-44-4-44-40000000000000000000000000000000000000000002i2−2i2000000
χ474-44-44i−4i-210012-1-2-123-3−2i2ii−i3i−3i2-22-22i−2i2i−2i−i−iii0000000000-11-11−ii00000000000000
χ484-44-44i−4i-210012-1-2-123-3−2i2ii−i3i−3i-22-22−2i2i−2i2iii−i−i00000000001-11-1i−i00000000000000
χ494-44-44i−4i-210012-1-2-12-33−2i2ii−i−3i3i2-2-222i−2i−2i2i−i−iii0000000000-111-1i−i00000000000000
χ504-44-44i−4i-210012-1-2-12-33−2i2ii−i−3i3i-222-2−2i2i2i−2iii−i−i00000000001-1-11−ii00000000000000
χ514-44-4−4i4i-210012-1-2-123-32i−2i−ii−3i3i2-22-2−2i2i−2i2iii−i−i0000000000-11-11i−i00000000000000
χ524-44-4−4i4i-210012-1-2-123-32i−2i−ii−3i3i-22-222i−2i2i−2i−i−iii00000000001-11-1−ii00000000000000
χ534-44-4−4i4i-210012-1-2-12-332i−2i−ii3i−3i2-2-22−2i2i2i−2iii−i−i0000000000-111-1−ii00000000000000
χ544-44-4−4i4i-210012-1-2-12-332i−2i−ii3i−3i-222-22i−2i−2i2i−i−iii00000000001-1-11i−i00000000000000
χ554-4-44004400-4-44-4-440000000000000000000000000000000000000000000022−220000
χ564-4-44004400-4-44-4-4400000000000000000000000000000000000000000000−22220000
χ5788-8-8002-400424-2-4-20000000000000000000000000000000000000023−230000000000
χ5888-8-8002-400424-2-4-200000000000000000000000000000000000000−23230000000000
χ5988-8-800-4200-2-4-24240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6088-8-800-4200-2-4-242400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-88i−8i2-400-4-2424-2002i−2i−4i4i00000000000000000000000000000000000000000000
χ628-88-8−8i8i2-400-4-2424-200−2i2i4i−4i00000000000000000000000000000000000000000000
χ638-8-88002-4004-2-4-24200000000000000000000000000000000000023−23000000000000
χ648-8-88002-4004-2-4-242000000000000000000000000000000000000−2323000000000000
χ658-8-8800-4200-2424-2-4000000000000000023−23−2323000000000000000000000000000000
χ668-8-8800-4200-2424-2-40000000000000000−232323−23000000000000000000000000000000

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