Finite Group Databasebeta

← Group #11782583

Character table — Group #11782583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222244444444888888888888181818181818181818181818181818181818181818181818484848484848484848484848
order122244888833666666121212122424242424242424444488888888888888888888244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111
χ9222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ10222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ112222-2-2000022222222-2-2-2-20000000022-2-20000000000002222-2-2-2-2000000000000
χ122222-2-2000022222222-2-2-2-20000000022-2-2000000000000-2-2-2-22222000000000000
χ132222-2-2000022222222-2-2-2-200000000-2-22200002222-2-2-2-200000000000000000000
χ142222-2-2000022222222-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000
χ1522-2-22-2000022-2-22-2-22-2-2220000000000002i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ1622-2-22-2000022-2-22-2-22-2-2220000000000002i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ1722-2-22-2000022-2-22-2-22-2-222000000000000−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ1822-2-22-2000022-2-22-2-22-2-222000000000000−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ1922-2-2-222i2i−2i−2i22-2-22-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ2022-2-2-222i2i−2i−2i22-2-22-2-2222-2-22i2i2i2i−2i−2i−2i−2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ2122-2-2-22−2i−2i2i2i22-2-22-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ2222-2-2-22−2i−2i2i2i22-2-22-2-2222-2-2−2i−2i−2i−2i2i2i2i2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ232-22-2002−22−2222-2-2-22-2000022−2−222−2−22-2002−22−2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i000000000000
χ242-22-2002−22−2222-2-2-22-2000022−2−222−2−22-2002−22−2i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i000000000000
χ252-22-2002−22−2222-2-2-22-2000022−2−222−2−2-2200−22−22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000000000000000
χ262-22-2002−22−2222-2-2-22-2000022−2−222−2−2-2200−22−22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000000000000000
χ272-22-200−22−22222-2-2-22-20000−2−222−2−2222-200−22−22−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i000000000000
χ282-22-200−22−22222-2-2-22-20000−2−222−2−2222-200−22−22i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i000000000000
χ292-22-200−22−22222-2-2-22-20000−2−222−2−222-22002−22−2−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000000000000000
χ302-22-200−22−22222-2-2-22-20000−2−222−2−222-22002−22−2i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000000000000000
χ312-2-2200−i2i2i2−i222-22-22-2-20000−i2−i2i2i2i2i2−i2−i2002-2−i2i2i2−i200002i−2i−2i2i2−2−222−2−22000000000000
χ322-2-2200−i2i2i2−i222-22-22-2-20000−i2−i2i2i2i2i2−i2−i2002-2−i2i2i2−i20000−2i2i2i−2i−222−2−222−2000000000000
χ332-2-2200−i2i2i2−i222-22-22-2-20000−i2−i2i2i2i2i2−i2−i200-22i2−i2−i2i22i−2i−2i2i00002−2−22−222−2000000000000
χ342-2-2200−i2i2i2−i222-22-22-2-20000−i2−i2i2i2i2i2−i2−i200-22i2−i2−i2i2−2i2i2i−2i0000−222−22−2−22000000000000
χ352-2-2200i2−i2−i2i222-22-22-2-20000i2i2−i2−i2−i2−i2i2i2002-2i2−i2−i2i200002i−2i−2i2i−222−2−222−2000000000000
χ362-2-2200i2−i2−i2i222-22-22-2-20000i2i2−i2−i2−i2−i2i2i2002-2i2−i2−i2i20000−2i2i2i−2i2−2−222−2−22000000000000
χ372-2-2200i2−i2−i2i222-22-22-2-20000i2i2−i2−i2−i2−i2i2i200-22−i2i2i2−i22i−2i−2i2i0000−222−22−2−22000000000000
χ382-2-2200i2−i2−i2i222-22-22-2-20000i2i2−i2−i2−i2−i2i2i200-22−i2i2i2−i2−2i2i2i−2i00002−2−22−222−2000000000000
χ3944444444441-21-2-21-21-21-211-21-21-21-200000000000000000000000002020000-1-1-1-1
χ4044444444441-21-2-21-21-21-211-21-21-21-20000000000000000000000000-20-200001111
χ414444444444-21-211-21-21-21-2-21-21-21-210000000000000000000000002020-1-1-1-10000
χ424444444444-21-211-21-21-21-2-21-21-21-21000000000000000000000000-20-2011110000
χ43444444-4-4-4-41-21-2-21-21-21-21-12-12-12-12000000000000000000000000020-2000011-1-1
χ44444444-4-4-4-41-21-2-21-21-21-21-12-12-12-120000000000000000000000000-2020000-1-111
χ45444444-4-4-4-4-21-211-21-21-21-22-12-12-12-100000000000000000000000020-20-1-1110000
χ46444444-4-4-4-4-21-211-21-21-21-22-12-12-12-1000000000000000000000000-202011-1-10000
χ4744-4-4-444i4i−4i−4i1-2-12-2-121-212-1i−2ii−2i−i2i−i2i000000000000000000000000000000003−3−i3i3
χ4844-4-4-444i4i−4i−4i1-2-12-2-121-212-1i−2ii−2i−i2i−i2i00000000000000000000000000000000−33i3−i3
χ4944-4-4-444i4i−4i−4i-212-112-1-21-2-12−2ii−2ii2i−i2i−i0000000000000000000000000000−i3i33−30000
χ5044-4-4-444i4i−4i−4i-212-112-1-21-2-12−2ii−2ii2i−i2i−i0000000000000000000000000000i3−i3−330000
χ5144-4-4-44−4i−4i4i4i1-2-12-2-121-212-1−i2i−i2ii−2ii−2i000000000000000000000000000000003−3i3−i3
χ5244-4-4-44−4i−4i4i4i1-2-12-2-121-212-1−i2i−i2ii−2ii−2i00000000000000000000000000000000−33−i3i3
χ5344-4-4-44−4i−4i4i4i-212-112-1-21-2-122i−i2i−i−2ii−2ii0000000000000000000000000000−i3i3−330000
χ5444-4-4-44−4i−4i4i4i-212-112-1-21-2-122i−i2i−i−2ii−2ii0000000000000000000000000000i3−i33−30000
χ558888-8-800002-42-4-42-424-24-200000000000000000000000000000000000000000000
χ568888-8-80000-42-422-42-4-24-2400000000000000000000000000000000000000000000
χ5788-8-88-800002-4-24-4-2424-2-4200000000000000000000000000000000000000000000
χ5888-8-88-80000-424-224-2-4-242-400000000000000000000000000000000000000000000
χ598-88-80042−4242−422-4244-2-4-200002−22−2222−22−222000000000000000000000000000000000000
χ608-88-80042−4242−42-42-4-2-24240000−22222−2−22222−2000000000000000000000000000000000000
χ618-88-800−4242−42422-4244-2-4-20000−2222−22−2222−22000000000000000000000000000000000000
χ628-88-800−4242−4242-42-4-2-2424000022−2−22222−2−222000000000000000000000000000000000000
χ638-8-8800−4i24i24i2−4i22-4-2-4424-20000−i22i2i2−2i2i2−2i2−i22i2000000000000000000000000000000000000
χ648-8-8800−4i24i24i2−4i2-4242-2-4-2400002i2−i2−2i2i2−2i2i22i2−i2000000000000000000000000000000000000
χ658-8-88004i2−4i2−4i24i22-4-2-4424-20000i2−2i2−i22i2−i22i2i2−2i2000000000000000000000000000000000000
χ668-8-88004i2−4i2−4i24i2-4242-2-4-240000−2i2i22i2−i22i2−i2−2i2i2000000000000000000000000000000000000

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