Finite Group Databasebeta

← Group #11872539

Character table — Group #11872539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212122244444412121212121244444444661212121212121212248888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ511111111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1
χ611111111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-111
χ711111111-1-111111111-1-1-1-111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111-1-111111111-1-1-1-111-1-111-1-1111111-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-1
χ91111-1-1111-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1111-1-111111-1-111-1-1-1111-1-11-11-1
χ101111-1-1111-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-111-111-1-1-1-11111-11-1-111-11-11
χ111111-1-1111-1111111-1-111-1-1-1-1-1-11111-1-111111-1-1-1111-1-11-1-11111-1-1-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-111-1-1-1-1-1-11111-1-111111-1-1-111-111-1-1-1-1-111-1-111-1111-1-1-111-1
χ131111-1-111-11111111-1-1-1-111-1-11111-1-1-1-11111-11-1-1111-11-111-1-1-1-1-1-1111-111-1-11-1-11
χ141111-1-111-11111111-1-1-1-111-1-11111-1-1-1-11111-11-1-111-11-111111-1-1-1-1-1-11-1-1-111-111-1
χ151111-1-111-11111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11-1-1-1-1-11111111-1-1-1111-11-1
χ161111-1-111-11111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-11-1-1111111-1-11-111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-222222222-2-2-2-222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-222-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-222-22222222-2-2-2-222-2-2000000000000-2222-2-200000000000000-2200000000
χ212-22-22i−2i2200-2-22-2-222i−2i00002i−2i002-2002i−2i22-2-2002i−2i2-200000000002i−2i000000000000
χ222-22-22i−2i2200-2-22-2-222i−2i00002i−2i00-2200−2i2i-2-222002i−2i2-20000000000−2i2i000000000000
χ232-22-22i−2i2200-2-22-2-222i−2i00002i−2i2-2002i−2i00000000−2i2i-2200002-2002i−2i00000000000000
χ242-22-22i−2i2200-2-22-2-222i−2i00002i−2i-2200−2i2i00000000−2i2i-220000-2200−2i2i00000000000000
χ252-22-2−2i2i2200-2-22-2-22−2i2i0000−2i2i002-200−2i2i22-2-200−2i2i2-20000000000−2i2i000000000000
χ262-22-2−2i2i2200-2-22-2-22−2i2i0000−2i2i00-22002i−2i-2-22200−2i2i2-200000000002i−2i000000000000
χ272-22-2−2i2i2200-2-22-2-22−2i2i0000−2i2i2-200−2i2i000000002i−2i-2200002-200−2i2i00000000000000
χ282-22-2−2i2i2200-2-22-2-22−2i2i0000−2i2i-22002i−2i000000002i−2i-220000-22002i−2i00000000000000
χ294444441-244-21-21-21-2-2-2-2-2-211000000000000110000222200-1-10000-1-1000000-1-100
χ304444441-244-21-21-21-2-2-2-2-2-211000000000000110000-2-2-2-200110000110000001100
χ314444441-2-4-4-21-21-21-2-2222211000000000000-1-1000022-2-20011000011000000-1-100
χ324444441-2-4-4-21-21-21-2-2222211000000000000-1-10000-2-22200-1-10000-1-10000001100
χ33444444-21441-21-21-2111111-2-222222222-1-1-1-1-2-200000000-1-100-1-1-1-1000000000000
χ34444444-21441-21-21-2111111-2-2-2-2-2-2-2-2-2-21111-2-20000000011001111000000000000
χ35444444-21-4-41-21-21-211-1-1-1-1-2-222-2-222-2-211112200000000-1-100-1-111000000000000
χ36444444-21-4-41-21-21-211-1-1-1-1-2-2-2-222-2-222-1-1-1-12200000000110011-1-1000000000000
χ374444-4-41-24-4-21-21-2122-2-222-1-10000000000001-100002-2-2200-1-1000011000000-1100
χ384444-4-41-24-4-21-21-2122-2-222-1-10000000000001-10000-222-200110000-1-10000001-100
χ394444-4-41-2-44-21-21-212222-2-2-1-1000000000000-1100002-22-200110000-1-1000000-1100
χ404444-4-41-2-44-21-21-212222-2-2-1-1000000000000-110000-22-2200-1-10000110000001-100
χ414444-4-4-214-41-21-21-2-1-111-1-12222-2-2-2-2221111-2200000000-1-10011-1-1000000000000
χ424444-4-4-214-41-21-21-2-1-111-1-122-2-22222-2-2-1-1-1-1-22000000001100-1-111000000000000
χ434444-4-4-21-441-21-21-2-1-1-1-111222222-2-2-2-2-1-1-1-12-200000000-1-1001111000000000000
χ444444-4-4-21-441-21-21-2-1-1-1-11122-2-2-2-2222211112-2000000001100-1-1-1-1000000000000
χ4544-4-40044004-4-44-4-400000000000000000000000000000000000000000022−22000000
χ4644-4-40044004-4-44-4-4000000000000000000000000000000000000000000−2222000000
χ474-44-44i−4i-2100-1212-1-2i−i3i−3i3-3−2i2i2-22-22i−2i2i−2i-1-1110000000000-1100−ii−ii000000000000
χ484-44-44i−4i-2100-1212-1-2i−i3i−3i3-3−2i2i-22-22−2i2i−2i2i11-1-100000000001-100i−ii−i000000000000
χ494-44-44i−4i-2100-1212-1-2i−i−3i3i-33−2i2i2-2-222i−2i−2i2i11-1-10000000000-1100−iii−i000000000000
χ504-44-44i−4i-2100-1212-1-2i−i−3i3i-33−2i2i-222-2−2i2i2i−2i-1-11100000000001-100i−i−ii000000000000
χ514-44-4−4i4i-2100-1212-1-2−ii3i−3i-332i−2i2-2-22−2i2i2i−2i11-1-10000000000-1100i−i−ii000000000000
χ524-44-4−4i4i-2100-1212-1-2−ii3i−3i-332i−2i-222-22i−2i−2i2i-1-11100000000001-100−iii−i000000000000
χ534-44-4−4i4i-2100-1212-1-2−ii−3i3i3-32i−2i2-22-2−2i2i−2i2i-1-1110000000000-1100i−ii−i000000000000
χ544-44-4−4i4i-2100-1212-1-2−ii−3i3i3-32i−2i-22-222i−2i2i−2i11-1-100000000001-100−ii−ii000000000000
χ554-4-44004400-44-4-44-400000000000000000000000000000000000000000000−2i22i20000
χ564-4-44004400-44-4-44-4000000000000000000000000000000000000000000002i2−2i20000
χ5788-8-8002-400-4-2424-20000000000000000000000000000000000000023−230000000000
χ5888-8-8002-400-4-2424-200000000000000000000000000000000000000−23230000000000
χ5988-8-800-420024-2-4-24000000000000000023−2323−23000000000000000000000000000000
χ6088-8-800-420024-2-4-240000000000000000−2323−2323000000000000000000000000000000
χ618-88-88i−8i2-4004-2-4-242−4i4i00002i−2i000000000000000000000000000000000000000000
χ628-88-8−8i8i2-4004-2-4-2424i−4i0000−2i2i000000000000000000000000000000000000000000
χ638-8-88002-400424-2-4-200000000000000000000000000000000−2i32i30000000000000000
χ648-8-88002-400424-2-4-2000000000000000000000000000000002i3−2i30000000000000000
χ658-8-8800-4200-2-4-2424000000000000000023−23−2323000000000000000000000000000000
χ668-8-8800-4200-2-4-24240000000000000000−232323−23000000000000000000000000000000

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