Finite Group Databasebeta

← Group #11872780

Character table — Group #11872780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222224444121212121212444422446666661212121224888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1
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
χ511111111-1-1111111-1-11111-1-111-1-111-1-11111-1-111111-11-111-1-111-1-111-1-11111-1-1-1-1
χ611111111-1-1111111-1-11111-1-111-1-111-1-11111-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111-1-11111111-1-1-1-11-111-1-1-111-1
χ101111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-111-11111-1-1-1-1111-1-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-11-1-1-1-11111-1-11-1-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-111-1-1-1-1-1-1-111111-111-1-11-11-1
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11111-1-1-1111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-1-1-11111-11-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-11-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-11-1-111-1-111-1-111-1-1-1-111-1111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-222222222-2-2-2-2-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-2222-2-2000000000000002-200000000
χ2122-2-22i−2i220022-2-2-2-2002i2i−2i−2i00002-2002i−2i0000002i−2i2-20000002-2002i−2i000000000000
χ2222-2-22i−2i220022-2-2-2-2002i2i−2i−2i0000-2200−2i2i0000002i−2i2-2000000-2200−2i2i000000000000
χ2322-2-22i−2i220022-2-2-2-2002i2i−2i−2i002-2002i−2i002i2i−2i−2i00−2i2i-2200002-2000000000000000000
χ2422-2-22i−2i220022-2-2-2-2002i2i−2i−2i00-2200−2i2i00−2i−2i2i2i00−2i2i-220000-22000000000000000000
χ2522-2-2−2i2i220022-2-2-2-200−2i−2i2i2i00002-200−2i2i000000−2i2i2-20000002-200−2i2i000000000000
χ2622-2-2−2i2i220022-2-2-2-200−2i−2i2i2i0000-22002i−2i000000−2i2i2-2000000-22002i−2i000000000000
χ2722-2-2−2i2i220022-2-2-2-200−2i−2i2i2i002-200−2i2i00−2i−2i2i2i002i−2i-2200002-2000000000000000000
χ2822-2-2−2i2i220022-2-2-2-200−2i−2i2i2i00-22002i−2i002i2i−2i−2i002i−2i-220000-22000000000000000000
χ294444441-2441-21-21-2111-21-21122222222-1-1-1-1-2-200000000-1-1-1-100-1-1000000000000
χ304444441-2441-21-21-2111-21-211-2-2-2-2-2-2-2-21111-2-20000000011110011000000000000
χ314444441-2-4-41-21-21-2-1-11-21-2-1-122-2-222-2-2-1-1-1-12200000000-1-1110011000000000000
χ324444441-2-4-41-21-21-2-1-11-21-2-1-1-2-222-2-2221111220000000011-1-100-1-1000000000000
χ33444444-2144-21-21-21-2-2-21-21-2-200000000000011000022220000-1-100-1-1000000-1-100
χ34444444-2144-21-21-21-2-2-21-21-2-2000000000000110000-2-2-2-200001100110000001100
χ35444444-21-4-4-21-21-2122-21-2122000000000000-1-100002-22-20000-1-100-1-10000001100
χ36444444-21-4-4-21-21-2122-21-2122000000000000-1-10000-22-220000110011000000-1-100
χ374444-4-41-24-41-21-21-211-12-12-1-12222-2-2-2-21111-2200000000-1-1-1-10011000000000000
χ384444-4-41-24-41-21-21-211-12-12-1-1-2-2-2-22222-1-1-1-1-2200000000111100-1-1000000000000
χ394444-4-41-2-441-21-21-2-1-1-12-121122-2-2-2-22211112-200000000-1-11100-1-1000000000000
χ404444-4-41-2-441-21-21-2-1-1-12-1211-2-22222-2-2-1-1-1-12-20000000011-1-10011000000000000
χ414444-4-4-214-4-21-21-21-2-22-12-1220000000000001-100002-2-220000-1-100110000001-100
χ424444-4-4-214-4-21-21-21-2-22-12-1220000000000001-10000-222-200001100-1-1000000-1100
χ434444-4-4-21-44-21-21-21222-12-1-2-2000000000000-11000022-2-20000-1-10011000000-1100
χ444444-4-4-21-44-21-21-21222-12-1-2-2000000000000-110000-2-22200001100-1-10000001-100
χ4544-4-44i−4i1-2001-2-12-123-3i−2i−i2i3i−3i2-22-22i−2i2i−2i−i−iii0000000000-11-1100−ii000000000000
χ4644-4-44i−4i1-2001-2-12-123-3i−2i−i2i3i−3i-22-22−2i2i−2i2iii−i−i00000000001-11-100i−i000000000000
χ4744-4-44i−4i1-2001-2-12-12-33i−2i−i2i−3i3i2-2-222i−2i−2i2i−i−iii0000000000-111-100i−i000000000000
χ4844-4-44i−4i1-2001-2-12-12-33i−2i−i2i−3i3i-222-2−2i2i2i−2iii−i−i00000000001-1-1100−ii000000000000
χ4944-4-4−4i4i1-2001-2-12-123-3−i2ii−2i−3i3i2-22-2−2i2i−2i2iii−i−i0000000000-11-1100i−i000000000000
χ5044-4-4−4i4i1-2001-2-12-123-3−i2ii−2i−3i3i-22-222i−2i2i−2i−i−iii00000000001-11-100−ii000000000000
χ5144-4-4−4i4i1-2001-2-12-12-33−i2ii−2i3i−3i2-2-22−2i2i2i−2iii−i−i0000000000-111-100−ii000000000000
χ5244-4-4−4i4i1-2001-2-12-12-33−i2ii−2i3i−3i-222-22i−2i−2i2i−i−iii00000000001-1-1100i−i000000000000
χ534-44-4004400-4-4-4-4440000000000000000000000000000000000000000000022−220000
χ544-44-4004400-4-4-4-44400000000000000000000000000000000000000000000−22220000
χ554-4-44004400-4-444-4-400000000000000000000000000000000000000000022−22000000
χ564-4-44004400-4-444-4-4000000000000000000000000000000000000000000−2222000000
χ5788-8-88i−8i-4200-424-24-200−4i2i4i−2i00000000000000000000000000000000000000000000
χ5888-8-8−8i8i-4200-424-24-2004i−2i−4i2i00000000000000000000000000000000000000000000
χ598-88-8002-400-24-242-40000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ608-88-8002-400-24-242-400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-800-42004-24-2-420000000000000000000000000000000000−2i32i300000000000000
χ628-88-800-42004-24-2-4200000000000000000000000000000000002i3−2i300000000000000
χ638-8-88002-400-242-4-24000000000000000023−23−2323000000000000000000000000000000
χ648-8-88002-400-242-4-240000000000000000−232323−23000000000000000000000000000000
χ658-8-8800-42004-2-424-20000000000000000000000000000000000000023−230000000000
χ668-8-8800-42004-2-424-200000000000000000000000000000000000000−23230000000000

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