Finite Group Databasebeta

← Group #11922313

Character table — Group #11922313

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order12223446661212121222443666446688881212242424242424242436661212121212122466121222121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-1-1-11111111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-11-111-1-11-11-1
χ611111-1-1111-1-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111-111-1-1-11-11
χ711111-1-1111-1-1-1-1-1-1111111-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-11-1-111-11-11
χ811111-1-1111-1-1-1-1-1-1111111-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-11-1-1111-11-1
χ9222222222222222222-1-1-1-1222200002200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1-2-22200002200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ1122222-2-2222-2-2-2-2-2-222-1-1-1-12-2-2-200002200000000-1-1-1-11111110000002-2-1-1110000
χ1222222-2-2222-2-2-2-2-2-222-1-1-1-1-22-2-200002200000000-1-1-1-1111111000000-2211-1-10000
χ132222-122-1-1-1-1-1-1-12222222200-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-12222222200-1-1-2-2-2-2-1-111111111-1-1-1-122-1-1-1-1-2-211110000000000
χ152222-1-2-2-1-1-11111-2-2222222001122-2-2-1-1-1-1-1-11111-1-1-1-1-2-211112-2-1-1110000000000
χ162222-1-2-2-1-1-11111-2-22222220011-2-222-1-11111-1-1-1-1-1-1-1-1-2-21111-2211-1-10000000000
χ172-22-222-2-2-2222-2-22-22-22-2-22002-20000-22000000002-2-222-222-2-20000000000000000
χ182-22-222-2-2-2222-2-22-22-2-111-1002-20000-2200000000-111-1-11-1-11100000000−i3i3−i3i30000
χ192-22-222-2-2-2222-2-22-22-2-111-1002-20000-2200000000-111-1-11-1-11100000000i3−i3i3−i30000
χ202-22-22-22-2-22-2-222-222-22-2-2200-220000-22000000002-2-22-22-2-2220000000000000000
χ212-22-22-22-2-22-2-222-222-2-111-100-220000-2200000000-111-11-111-1-100000000−i3i3i3−i30000
χ222-22-22-22-2-22-2-222-222-2-111-100-220000-2200000000-111-11-111-1-100000000i3−i3−i3i30000
χ232-22-2-12-211-1-1-1112-22-22-2-2200-1100001-1−i3−i3i3i3−i3−i3i3i3-111-12-2-1-11100−i3i3−i3i30000000000
χ242-22-2-12-211-1-1-1112-22-22-2-2200-1100001-1i3i3−i3−i3i3i3−i3−i3-111-12-2-1-11100i3−i3i3−i30000000000
χ252-22-2-1-2211-111-1-1-222-22-2-22001-100001-1−i3−i3i3i3i3i3−i3−i3-111-1-2211-1-100−i3i3i3−i30000000000
χ262-22-2-1-2211-111-1-1-222-22-2-22001-100001-1i3i3−i3−i3−i3−i3i3i3-111-1-2211-1-100i3−i3−i3i30000000000
χ2733333333333333-1-1-1-1000033-1-11111-1-1111111110000000000-1-1-1-1-1-1-1-10000-1-111
χ2833333333333333-1-1-1-1000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111-1-1000011-1-1
χ2933333333333333-1-1-1-10000-3-3-1-11111-1-1111111110000000000-1-1-1-1-1-111000011-1-1
χ3033333333333333-1-1-1-10000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111110000-1-111
χ3133333-3-3333-3-3-3-311-1-100003-31111-1-1-1-11111-1-1-1-10000000000-11-1-111-110000-111-1
χ3233333-3-3333-3-3-3-311-1-100003-311-1-111-1-1-1-1-1-1111100000000001-111-1-1-1100001-1-11
χ3333333-3-3333-3-3-3-311-1-10000-331111-1-1-1-11111-1-1-1-10000000000-11-1-1111-100001-1-11
χ3433333-3-3333-3-3-3-311-1-10000-3311-1-111-1-1-1-1-1-1111100000000001-111-1-11-10000-111-1
χ354444-244-2-2-2-2-2-2-24444-2-2-2-200-2-20000-2-2000000001111-2-211110000000000000000
χ364444-2-4-4-2-2-22222-4-444-2-2-2-200220000-2-200000000111122-1-1-1-10000000000000000
χ3744-4-44004-4-400000000-22-220000−2i22i20000−2i22i2−2i22i20000-22-220000000000000000000000
χ3844-4-44004-4-400000000-22-2200002i2−2i200002i2−2i22i2−2i20000-22-220000000000000000000000
χ3944-4-4-200-22223−2323−230000-22-220000−2i22i20000i2−i2i2−i2i6−i6i6−i61-11-1003−33−30000000000000000
χ4044-4-4-200-22223−2323−230000-22-2200002i2−2i20000−i2i2−i2i2−i6i6−i6i61-11-1003−33−30000000000000000
χ4144-4-4-200-222−2323−23230000-22-220000−2i22i20000i2−i2i2−i2−i6i6−i6i61-11-100−33−330000000000000000
χ4244-4-4-200-222−2323−23230000-22-2200002i2−2i20000−i2i2−i2i2i6−i6i6−i61-11-100−33−330000000000000000
χ434-44-4-24-422-2-2-2224-44-4-222-200-2200002-2000000001-1-11-2211-1-10000000000000000
χ444-44-4-2-4422-222-2-2-444-4-222-2002-200002-2000000001-1-112-2-1-1110000000000000000
χ454-4-44400-44-400000000-2-22200000022−2200000022−22−2222-2-2220000000000000000000000
χ464-4-44400-44-400000000-2-222000000−2222000000−222222−22-2-2220000000000000000000000
χ474-4-44-2002-2223−23−23230000-2-22200000022−22006−6−66−222−211-1-1003−3−330000000000000000
χ484-4-44-2002-2223−23−23230000-2-222000000−222200−666−62−2−2211-1-1003−3−330000000000000000
χ494-4-44-2002-22−232323−230000-2-22200000022−2200−666−6−222−211-1-100−333−30000000000000000
χ504-4-44-2002-22−232323−230000-2-222000000−2222006−6−662−2−2211-1-100−333−30000000000000000
χ516666-366-3-3-3-3-3-3-3-2-2-2-200000011222211-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ526666-366-3-3-3-3-3-3-3-2-2-2-200000011-2-2-2-21111111111000000000022-1-1-1-10000000000
χ536666-3-6-6-3-3-3333322-2-2000000-1-122-2-211-1-1-1-111110000000000-2211-1-10000000000
χ546666-3-6-6-3-3-3333322-2-2000000-1-1-2-222111111-1-1-1-100000000002-2-1-1110000000000
χ556-66-666-6-6-6666-6-6-22-22000000-2200002-20000000000000000000000000000000000
χ566-66-66-66-6-66-6-6662-2-220000002-200002-20000000000000000000000000000000000
χ576-66-6-36-633-3-3-333-22-220000001-10000-11−i3−i3i3i3−i3−i3i3i3000000000000i3−i3i3−i30000000000
χ586-66-6-36-633-3-3-333-22-220000001-10000-11i3i3−i3−i3i3i3−i3−i3000000000000−i3i3−i3i30000000000
χ596-66-6-3-6633-333-3-32-2-22000000-110000-11−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i30000000000
χ606-66-6-3-6633-333-3-32-2-22000000-110000-11i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i30000000000
χ6188-8-88008-8-8000000002-22-20000000000000000002-22-20000000000000000000000
χ6288-8-8-400-44443−4343−4300002-22-2000000000000000000-11-1100−33−330000000000000000
χ6388-8-8-400-444−4343−434300002-22-2000000000000000000-11-11003−33−30000000000000000
χ648-8-88800-88-80000000022-2-200000000000000000022-2-20000000000000000000000
χ658-8-88-4004-4443−43−4343000022-2-2000000000000000000-1-11100−333−30000000000000000
χ668-8-88-4004-44−434343−43000022-2-2000000000000000000-1-111003−3−330000000000000000

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