Finite Group Databasebeta

← Group #11870399

Character table — Group #11870399

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212124444444412121212121222442444661212121212121212228888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
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
χ511111111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ811111111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1
χ91111-1-1111-1111111-1-111-1-1-1-111-1-111-1-111111-1-1-1111-11-111-1-1-1-111-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-111-1-1-1-111-1-111-1-111111-1-1-111-11-11-1-111-1-111-1-11-1-1-111-11-11
χ111111-1-1111-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1111-11-111-1-111-1-1111-1-1-1111-1-11
χ121111-1-1111-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-11-11-1-11111-1-1111-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-111-1-111-1-1-1-1111111-11-1-1111-1-1111-1-1-1-1-1-111-1111-1-1-11-11
χ141111-1-111-11111111-1-1-1-111-1-111-1-1-1-1111111-11-1-111-111-1-1-111-1-1-1-111-11-1-1111-11-1
χ151111-1-111-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1-1111-1-11111-1-1-11-1-111-111-1
χ161111-1-111-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1111111-1-1-1111-1-11-1-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-222222222-2-2-2-222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-222-2-2-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-222-2-2000000000000-2222-2-2000000000000002-200000000
χ2122-2-22-22200-22-22-2-22-200002-200002i−2i2i−2i0000002-22-200000000002i−2i2i−2i0000000000
χ2222-2-22-22200-22-22-2-22-200002-20000−2i2i−2i2i0000002-22-20000000000−2i2i−2i2i0000000000
χ2322-2-22-22200-22-22-2-22-200002-22i−2i2i−2i00002i2i−2i−2i00-22-22000000002i−2i00000000000000
χ2422-2-22-22200-22-22-2-22-200002-2−2i2i−2i2i0000−2i−2i2i2i00-22-2200000000−2i2i00000000000000
χ2522-2-2-222200-22-22-2-2-220000-2200002i−2i−2i2i000000-222-200000000002i−2i−2i2i0000000000
χ2622-2-2-222200-22-22-2-2-220000-220000−2i2i2i−2i000000-222-20000000000−2i2i2i−2i0000000000
χ2722-2-2-222200-22-22-2-2-220000-222i−2i−2i2i00002i2i−2i−2i002-2-2200000000−2i2i00000000000000
χ2822-2-2-222200-22-22-2-2-220000-22−2i2i2i−2i0000−2i−2i2i2i002-2-22000000002i−2i00000000000000
χ294444441-244-211-2-21111111-2-222222222-1-1-1-1-2-2000000000000-1-1-1-1-1-10000000000
χ304444441-244-211-2-21111111-2-2-2-2-2-2-2-2-2-21111-2-20000000000001111110000000000
χ314444441-2-4-4-211-2-2111-1-1-1-1-2-22222-2-2-2-2-1-1-1-122000000000000-1-111110000000000
χ324444441-2-4-4-211-2-2111-1-1-1-1-2-2-2-2-2-2222211112200000000000011-1-1-1-10000000000
χ33444444-21441-2-211-2-2-2-2-2-2-2110000000000001100002222-1-1-1-1000000000000-1-100
χ34444444-21441-2-211-2-2-2-2-2-2-211000000000000110000-2-2-2-211110000000000001100
χ35444444-21-4-41-2-211-2-2-2222211000000000000-1-1000022-2-2-1-1-1-10000000000001100
χ36444444-21-4-41-2-211-2-2-2222211000000000000-1-10000-2-2221111000000000000-1-100
χ374444-4-41-24-4-211-2-21-1-111-1-12222-2-222-2-2-1-1-1-1-2200000000000011-1-1110000000000
χ384444-4-41-24-4-211-2-21-1-111-1-122-2-222-2-2221111-22000000000000-1-111-1-10000000000
χ394444-4-41-2-44-211-2-21-1-1-1-1112222-2-2-2-222-1-1-1-12-20000000000001111-1-10000000000
χ404444-4-41-2-44-211-2-21-1-1-1-11122-2-22222-2-211112-2000000000000-1-1-1-1110000000000
χ414444-4-4-214-41-2-211-222-2-222-1-10000000000001-100002-22-2-1-111000000000000-1100
χ424444-4-4-214-41-2-211-222-2-222-1-10000000000001-10000-22-2211-1-10000000000001-100
χ434444-4-4-21-441-2-211-22222-2-2-1-1000000000000-1100002-2-22-1-1110000000000001-100
χ444444-4-4-21-441-2-211-22222-2-2-1-1000000000000-110000-222-211-1-1000000000000-1100
χ4544-4-44-41-20021-1-22-11-13-33-3-222i−2i2i−2i2i−2i2i−2i−i−iii00000000000000−ii−ii−ii0000000000
χ4644-4-44-41-20021-1-22-11-13-33-3-22−2i2i−2i2i−2i2i−2i2iii−i−i00000000000000i−ii−ii−i0000000000
χ4744-4-44-41-20021-1-22-11-1-33-33-222i−2i2i−2i−2i2i−2i2i−i−iii00000000000000−iii−ii−i0000000000
χ4844-4-44-41-20021-1-22-11-1-33-33-22−2i2i−2i2i2i−2i2i−2iii−i−i00000000000000i−i−ii−ii0000000000
χ4944-4-4-441-20021-1-22-1-113-3-332-22i−2i−2i2i2i−2i−2i2i−i−iii00000000000000i−i−iii−i0000000000
χ5044-4-4-441-20021-1-22-1-113-3-332-2−2i2i2i−2i−2i2i2i−2iii−i−i00000000000000−iii−i−ii0000000000
χ5144-4-4-441-20021-1-22-1-11-333-32-22i−2i−2i2i−2i2i2i−2i−i−iii00000000000000i−ii−i−ii0000000000
χ5244-4-4-441-20021-1-22-1-11-333-32-2−2i2i2i−2i2i−2i−2i2iii−i−i00000000000000−ii−iii−i0000000000
χ534-44-40044004-4-4-4-44000000000000000000000000000000000000000000−2i22i2000000
χ544-44-40044004-4-4-4-440000000000000000000000000000000000000000002i2−2i2000000
χ554-4-44004400-4-44-44-400000000000000000000000000000000000000000000−2i22i20000
χ564-4-44004400-4-44-44-4000000000000000000000000000000000000000000002i2−2i20000
χ5788-8-88-8-4200-2-442-24-4400002-2000000000000000000000000000000000000000000
χ5888-8-8-88-4200-2-442-244-40000-22000000000000000000000000000000000000000000
χ598-88-8002-400-4-2-2442000000000000000023−2323−23000000000000000000000000000000
χ608-88-8002-400-4-2-24420000000000000000−2323−2323000000000000000000000000000000
χ618-88-800-4200244-2-2-4000000000000000000000000000000−2i32i3000000000000000000
χ628-88-800-4200244-2-2-40000000000000000000000000000002i3−2i3000000000000000000
χ638-8-88002-4004-224-4-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-8-88002-4004-224-4-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-8800-4200-24-4-2240000000000000000000000000000000023−230000000000000000
χ668-8-8800-4200-24-4-22400000000000000000000000000000000−23230000000000000000

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