Finite Group Databasebeta

← Group #11921664

Character table — Group #11921664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order1222344666121212124444366644888812121212242424242424242436661212121212122466121224121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-1-1-11111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-11-111-1-1-111-1
χ611111-1-1111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111-111-1-11-1-11
χ711111-1-1111-1-1-1-1-1-1111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-11-1-1111-1-11
χ811111-1-1111-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-11-1-111-111-1
χ9222222222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ1122222-2-2222-2-2-2-2-2-222-1-1-1-12-20000-2-22200000000-1-1-1-11111110000002-2-1-1110000
χ1222222-2-2222-2-2-2-2-2-222-1-1-1-1-220000-2-22200000000-1-1-1-1111111000000-2211-1-10000
χ132222-122-1-1-1-1-1-1-122222222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-12222222200-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-1-2-211110000000000
χ152222-1-2-2-1-1-11111-2-22222220022-2-211-1-1-1-1-1-11111-1-1-1-1-2-211112-2-1-1110000000000
χ162222-1-2-2-1-1-11111-2-222222200-2-22211-1-11111-1-1-1-1-1-1-1-1-2-21111-2211-1-10000000000
χ1722-2-222i−2i2-2-22i2i−2i−2i2i−2i2-22-22-20000002i−2i2-20000000022-2-22i−2i2i2i−2i−2i0000000000000000
χ1822-2-222i−2i2-2-22i2i−2i−2i2i−2i2-2-11-110000002i−2i2-200000000-1-111−ii−i−iii00000000−i3i33−30000
χ1922-2-222i−2i2-2-22i2i−2i−2i2i−2i2-2-11-110000002i−2i2-200000000-1-111−ii−i−iii00000000i3−i3−330000
χ2022-2-22−2i2i2-2-2−2i−2i2i2i−2i2i2-22-22-2000000−2i2i2-20000000022-2-2−2i2i−2i−2i2i2i0000000000000000
χ2122-2-22−2i2i2-2-2−2i−2i2i2i−2i2i2-2-11-11000000−2i2i2-200000000-1-111i−iii−i−i00000000−i3i3−330000
χ2222-2-22−2i2i2-2-2−2i−2i2i2i−2i2i2-2-11-11000000−2i2i2-200000000-1-111i−iii−i−i00000000i3−i33−30000
χ2322-2-2-12i−2i-111−i−iii2i−2i2-22-22-2000000−ii-11−i3−i3i3i333−3−3-1-1112i−2i−i−iii00−i3i33−30000000000
χ2422-2-2-12i−2i-111−i−iii2i−2i2-22-22-2000000−ii-11i3i3−i3−i3−3−333-1-1112i−2i−i−iii00i3−i3−330000000000
χ2522-2-2-1−2i2i-111ii−i−i−2i2i2-22-22-2000000i−i-11−i3−i3i3i3−3−333-1-111−2i2iii−i−i00−i3i3−330000000000
χ2622-2-2-1−2i2i-111ii−i−i−2i2i2-22-22-2000000i−i-11i3i3−i3−i333−3−3-1-111−2i2iii−i−i00i3−i33−30000000000
χ2733333333333333-1-1-1-10000331111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-10000-1-111
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
χ2933333333333333-1-1-1-10000-3-31111-1-1-1-1111111110000000000-1-1-1-1-1-111000011-1-1
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
χ3133333-3-3333-3-3-3-311-1-100003-311-1-111-1-11111-1-1-1-10000000000-11-1-111-1100001-11-1
χ3233333-3-3333-3-3-3-311-1-100003-3-1-11111-1-1-1-1-1-1111100000000001-111-1-1-110000-11-11
χ3333333-3-3333-3-3-3-311-1-10000-3311-1-111-1-11111-1-1-1-10000000000-11-1-1111-10000-11-11
χ3433333-3-3333-3-3-3-311-1-10000-33-1-11111-1-1-1-1-1-1111100000000001-111-1-11-100001-11-1
χ354444-244-2-2-2-2-2-2-24444-2-2-2-2000000-2-2-2-2000000001111-2-211110000000000000000
χ364444-2-4-4-2-2-22222-4-444-2-2-2-200000022-2-200000000111122-1-1-1-10000000000000000
χ3744-4-4-24i−4i-222−2i−2i2i2i4i−4i4-4-22-22000000−2i2i-220000000011-1-1−2i2iii−i−i0000000000000000
χ3844-4-4-2−4i4i-2222i2i−2i−2i−4i4i4-4-22-220000002i−2i-220000000011-1-12i−2i−i−iii0000000000000000
χ394-44-4400-4-4400000000-222-200−2i22i2000000−2i22i2−2i22i20000-222-20000000000000000000000
χ404-44-4400-4-4400000000-222-2002i2−2i20000002i2−2i22i2−2i20000-222-20000000000000000000000
χ414-44-4-20022-2−2i32i3−2i32i30000-222-200−2i22i2000000i2−i2i2−i26−66−61-1-1100−i3i3−i3i30000000000000000
χ424-44-4-20022-2−2i32i3−2i32i30000-222-2002i2−2i2000000−i2i2−i2i2−66−661-1-1100−i3i3−i3i30000000000000000
χ434-44-4-20022-22i3−2i32i3−2i30000-222-200−2i22i2000000i2−i2i2−i2−66−661-1-1100i3−i3i3−i30000000000000000
χ444-44-4-20022-22i3−2i32i3−2i30000-222-2002i2−2i2000000−i2i2−i2i26−66−61-1-1100i3−i3i3−i30000000000000000
χ454-4-44400-44-400000000-2-222000022−220000000022−22−2222-22-220000000000000000000000
χ464-4-44400-44-400000000-2-2220000−222200000000−222222−22-22-220000000000000000000000
χ474-4-44-2002-2223−23−23230000-2-222000022−2200006−6−66−222−21-11-1003−3−330000000000000000
χ484-4-44-2002-2223−23−23230000-2-2220000−22220000−666−62−2−221-11-1003−3−330000000000000000
χ494-4-44-2002-22−232323−230000-2-222000022−220000−666−6−222−21-11-100−333−30000000000000000
χ504-4-44-2002-22−232323−230000-2-2220000−222200006−6−662−2−221-11-100−333−30000000000000000
χ516666-366-3-3-3-3-3-3-3-2-2-2-200000022221111-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ526666-366-3-3-3-3-3-3-3-2-2-2-2000000-2-2-2-2111111111111000000000022-1-1-1-10000000000
χ536666-3-6-6-3-3-3333322-2-200000022-2-2-1-111-1-1-1-111110000000000-2211-1-10000000000
χ546666-3-6-6-3-3-3333322-2-2000000-2-222-1-1111111-1-1-1-100000000002-2-1-1110000000000
χ5566-6-666i−6i6-6-66i6i−6i−6i−2i2i-220000000000−2i2i-220000000000000000000000000000000000
χ5666-6-66−6i6i6-6-6−6i−6i6i6i2i−2i-2200000000002i−2i-220000000000000000000000000000000000
χ5766-6-6-36i−6i-333−3i−3i3i3i−2i2i-220000000000i−i1-1−i3−i3i3i333−3−3000000000000i3−i3−330000000000
χ5866-6-6-36i−6i-333−3i−3i3i3i−2i2i-220000000000i−i1-1i3i3−i3−i3−3−333000000000000−i3i33−30000000000
χ5966-6-6-3−6i6i-3333i3i−3i−3i2i−2i-220000000000−ii1-1−i3−i3i3i3−3−333000000000000i3−i33−30000000000
χ6066-6-6-3−6i6i-3333i3i−3i−3i2i−2i-220000000000−ii1-1i3i3−i3−i333−3−3000000000000−i3i3−330000000000
χ618-88-8800-8-88000000002-2-220000000000000000002-2-220000000000000000000000
χ628-88-8-40044-4−4i34i3−4i34i300002-2-22000000000000000000-111-100i3−i3i3−i30000000000000000
χ638-88-8-40044-44i3−4i34i3−4i300002-2-22000000000000000000-111-100−i3i3−i3i30000000000000000
χ648-8-88800-88-80000000022-2-20000000000000000002-22-20000000000000000000000
χ658-8-88-4004-4443−43−4343000022-2-2000000000000000000-11-1100−333−30000000000000000
χ668-8-88-4004-44−434343−43000022-2-2000000000000000000-11-11003−3−330000000000000000

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