Finite Group Databasebeta

← Group #11873346

Character table — Group #11873346

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224433446666661212121212121212444444441212121212124444444412121212121212121212248888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1111111-1-1
χ611111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-11111111-1-111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-1-1-111-1-1111111-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111-1-1-1-1-1-111-1-1111111-1-11111-11-1111-1-1-1-11111-1-11111-1-1-1-1
χ91111-1-1111-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-1-111-1-111-1-111-1-11111-11-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-111-1-111-1-1-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-111-1-1-1-111-1-111-1111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-1111111-1-1-1-11111-11-1-1111-1-11-1-111-1-1-1-1111-111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-111-11111-1-1-1-1-1-11-1-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111-1-11-1-1-1-11111111-1-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111-111-1-11111-1-11-111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222222-2-2-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-222-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-2222-2-200000000000000-2200000000
χ212-2-222i−2i2200-2-2-2-2222i2i−2i−2i0000002i−2i002-22i2i−2i−2i002i−2i2-200000000002-2000000000000
χ222-2-222i−2i2200-2-2-2-2222i2i−2i−2i000000−2i2i00-22−2i−2i2i2i002i−2i2-20000000000-22000000000000
χ232-2-222i−2i2200-2-2-2-2222i2i−2i−2i00002i−2i002-200000000−2i2i-220000002i−2i2-200000000000000
χ242-2-222i−2i2200-2-2-2-2222i2i−2i−2i0000−2i2i00-2200000000−2i2i-22000000−2i2i-2200000000000000
χ252-2-22−2i2i2200-2-2-2-222−2i−2i2i2i0000002i−2i00-222i2i−2i−2i00−2i2i2-20000000000-22000000000000
χ262-2-22−2i2i2200-2-2-2-222−2i−2i2i2i000000−2i2i002-2−2i−2i2i2i00−2i2i2-200000000002-2000000000000
χ272-2-22−2i2i2200-2-2-2-222−2i−2i2i2i00002i−2i00-22000000002i−2i-220000002i−2i-2200000000000000
χ282-2-22−2i2i2200-2-2-2-222−2i−2i2i2i0000−2i2i002-2000000002i−2i-22000000−2i2i2-200000000000000
χ294444441-2441-21-21-21-21-2111122222222-1-1-1-1-2-20000000000-1-1-1-1-1-1000000000000
χ304444441-2441-21-21-21-21-21111-2-2-2-2-2-2-2-21111-2-20000000000111111000000000000
χ314444441-2-4-41-21-21-21-21-2-1-1-1-122-2-222-2-21111220000000000-1-1-1-111000000000000
χ324444441-2-4-41-21-21-21-21-2-1-1-1-1-2-222-2-222-1-1-1-12200000000001111-1-1000000000000
χ33444444-2144-21-21-21-21-21-2-2-2-20000000000001100002222-1-1000000-1-1000000-1-100
χ34444444-2144-21-21-21-21-21-2-2-2-2000000000000110000-2-2-2-211000000110000001100
χ35444444-21-4-4-21-21-21-21-212222000000000000-1-100002-22-21100000011000000-1-100
χ36444444-21-4-4-21-21-21-21-212222000000000000-1-10000-22-22-1-1000000-1-10000001100
χ374444-4-41-24-41-21-21-2-12-1211-1-122-2-2-2-2221111-220000000000-1-111-1-1000000000000
χ384444-4-41-24-41-21-21-2-12-1211-1-1-2-22222-2-2-1-1-1-1-22000000000011-1-111000000000000
χ394444-4-41-2-441-21-21-2-12-12-1-1112222-2-2-2-2-1-1-1-12-20000000000-1-11111000000000000
χ404444-4-41-2-441-21-21-2-12-12-1-111-2-2-2-2222211112-2000000000011-1-1-1-1000000000000
χ414444-4-4-214-4-21-21-212-12-1-2-2220000000000001-1000022-2-2-1-100000011000000-1100
χ424444-4-4-214-4-21-21-212-12-1-2-2220000000000001-10000-2-22211000000-1-10000001-100
χ434444-4-4-21-44-21-21-212-12-122-2-2000000000000-1100002-2-2211000000-1-1000000-1100
χ444444-4-4-21-44-21-21-212-12-122-2-2000000000000-110000-222-2-1-1000000110000001-100
χ4544-4-4004400-4-444-4-400000000000000000000000000000000000000000022−22000000
χ4644-4-4004400-4-444-4-4000000000000000000000000000000000000000000−2222000000
χ474-44-400440044-4-4-4-40000000000000000000000000000000000000000000022−220000
χ484-44-400440044-4-4-4-400000000000000000000000000000000000000000000−22220000
χ494-4-444i−4i1-200-12-121-2i−2i−i2i3i−3i3-32i−2i2i−2i2-22-2−i−iii000000000000−ii-11-11000000000000
χ504-4-444i−4i1-200-12-121-2i−2i−i2i3i−3i3-3−2i2i−2i2i-22-22ii−i−i000000000000i−i1-11-1000000000000
χ514-4-444i−4i1-200-12-121-2i−2i−i2i−3i3i-332i−2i−2i2i2-2-22ii−i−i000000000000−ii-111-1000000000000
χ524-4-444i−4i1-200-12-121-2i−2i−i2i−3i3i-33−2i2i2i−2i-222-2−i−iii000000000000i−i1-1-11000000000000
χ534-4-44−4i4i1-200-12-121-2−i2ii−2i3i−3i-332i−2i−2i2i-222-2ii−i−i000000000000−ii1-1-11000000000000
χ544-4-44−4i4i1-200-12-121-2−i2ii−2i3i−3i-33−2i2i2i−2i2-2-22−i−iii000000000000i−i-111-1000000000000
χ554-4-44−4i4i1-200-12-121-2−i2ii−2i−3i3i3-32i−2i2i−2i-22-22−i−iii000000000000−ii1-11-1000000000000
χ564-4-44−4i4i1-200-12-121-2−i2ii−2i−3i3i3-3−2i2i−2i2i2-22-2ii−i−i000000000000i−i-11-11000000000000
χ5788-8-8002-400-242-4-24000000000000000023−2323−23000000000000000000000000000000
χ5888-8-8002-400-242-4-240000000000000000−2323−2323000000000000000000000000000000
χ5988-8-800-42004-2-424-20000000000000000000000000000000000000023−230000000000
χ6088-8-800-42004-2-424-200000000000000000000000000000000000000−23230000000000
χ618-88-8002-4002-4-24-240000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ628-88-8002-4002-4-24-2400000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ638-88-800-4200-424-24-2000000000000000000000000000000−2i32i3000000000000000000
χ648-88-800-4200-424-24-20000000000000000000000000000002i3−2i3000000000000000000
χ658-8-888i−8i-42004-24-2-42−4i2i4i−2i0000000000000000000000000000000000000000000000
χ668-8-88−8i8i-42004-24-2-424i−2i−4i2i0000000000000000000000000000000000000000000000

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