Finite Group Databasebeta

← Group #11921667

Character table — Group #11921667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order1222344666121212124436664444488881212121224242424242424243666121212121212266121244121212122288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-1111111-11-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1-11-11-1
χ611111-1-1111-1-1-1-1111111-11-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-111-1-1-11-11
χ711111-1-1111-1-1-1-1111111-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-11-11
χ811111-1-1111-1-1-1-1111111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-11-1-1111-11-1
χ92222222222222222-1-1-1-1222000000222200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-12-2-2000000222200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ1122222-2-2222-2-2-2-222-1-1-1-1-22-2000000-2-22200000000-1-1-1-1111111000002-2-1-1110000
χ1222222-2-2222-2-2-2-222-1-1-1-1-2-22000000-2-22200000000-1-1-1-111111100000-2211-1-10000
χ132222-122-1-1-1-1-1-1-1222222200222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222200-2-2-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-1-211110000000000
χ152222-1-2-2-1-1-11111222222-2002222-2-211-1-1-1-1-1-11111-1-1-1-1-2-21111-211-1-10000000000
χ162222-1-2-2-1-1-11111222222-200-2-2-2-22211-1-11111-1-1-1-1-1-1-1-1-2-211112-1-1110000000000
χ1722-2-22002-2-20000-2222-2-20002i−2i2i−2i00002-22i2i−2i−2i000022-2-20000000002i−2i0000000000
χ1822-2-22002-2-20000-2222-2-2000−2i2i−2i2i00002-2−2i−2i2i2i000022-2-2000000000−2i2i0000000000
χ1922-2-2-100-11133−3−3-2222-2-20002i−2i2i−2i003−3-11−i−iii−i3−i3i3i3-1-1110033−3−30−i3i3−ii0000000000
χ2022-2-2-100-11133−3−3-2222-2-2000−2i2i−2i2i003−3-11ii−i−ii3i3−i3−i3-1-1110033−3−30i3−i3i−i0000000000
χ2122-2-2-100-111−3−333-2222-2-20002i−2i2i−2i00−33-11−i−iiii3i3−i3−i3-1-11100−3−3330i3−i3−ii0000000000
χ2222-2-2-100-111−3−333-2222-2-2000−2i2i−2i2i00−33-11ii−i−i−i3−i3i3i3-1-11100−3−3330−i3i3i−i0000000000
χ2333333333333333-1-10000-13311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-10000-133-1-11111-1-1-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2533333333333333-1-10000-1-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2633333333333333-1-10000-1-3-3-1-11111-1-1-1-1111111110000000000-1-1-1-1-111000011-1-1
χ2733333-3-3333-3-3-3-3-1-1000013-311-1-11111-1-1-1-1-1-111110000000000-1-1-111-1100001-1-11
χ2833333-3-3333-3-3-3-3-1-1000013-3-1-111-1-111-1-11111-1-1-1-10000000000111-1-1-110000-111-1
χ2933333-3-3333-3-3-3-3-1-100001-3311-1-11111-1-1-1-1-1-111110000000000-1-1-1111-10000-111-1
χ3033333-3-3333-3-3-3-3-1-100001-33-1-111-1-111-1-11111-1-1-1-10000000000111-1-11-100001-1-11
χ314444-244-2-2-2-2-2-2-244-2-2-2-2400000000-2-2-2-2000000001111-2-21111000000000000000
χ324444-2-4-4-2-2-2222244-2-2-2-2-40000000022-2-200000000111122-1-1-1-1000000000000000
χ3344-4-44004-4-40000-44-2-222000000000004-400000000-2-222000000000000000000000
χ3444-4-4-200-2222323−23−23-44-2-22200000000023−23-220000000011-1-100−3−333000000000000000
χ3544-4-4-200-222−23−232323-44-2-222000000000−2323-220000000011-1-10033−3−3000000000000000
χ364-44-4400-44-4000000-222-20000000−2i22i200000000−2i22i2−2i22i2-22-22000000000000000000000
χ374-44-4400-44-4000000-222-200000002i2−2i2000000002i2−2i22i2−2i2-22-22000000000000000000000
χ384-44-4-2002-2223−2323−2300-222-20000000−2i22i20000i6−i6i6−i6i2−i2i2−i21-11-1003−33−3000000000000000
χ394-44-4-2002-2223−2323−2300-222-200000002i2−2i20000−i6i6−i6i6−i2i2−i2i21-11-1003−33−3000000000000000
χ404-44-4-2002-22−2323−232300-222-20000000−2i22i20000−i6i6−i6i6i2−i2i2−i21-11-100−33−33000000000000000
χ414-44-4-2002-22−2323−232300-222-200000002i2−2i20000i6−i6i6−i6−i2i2−i2i21-11-100−33−33000000000000000
χ424-4-4444-4-4-444-4-44001-11-10000000000000000000001-1-111-1-111-100000003−33−30000
χ434-4-4444-4-4-444-4-44001-11-10000000000000000000001-1-111-1-111-10000000−33−330000
χ444-4-4444-4-4-444-4-4400-22-22000000000000000000000-222-2-222-2-22000000000000000
χ454-4-444-44-4-44-444-4001-11-10000000000000000000001-1-11-111-1-1100000003−3−330000
χ464-4-444-44-4-44-444-4001-11-10000000000000000000001-1-11-111-1-110000000−333−30000
χ474-4-444-44-4-44-444-400-22-22000000000000000000000-222-22-2-222-2000000000000000
χ484-4-44-24-422-2-222-200-22-2200000000000006−6−66−666−61-1-11-22-111-1000000000000000
χ494-4-44-24-422-2-222-200-22-220000000000000−666−66−6−661-1-11-22-111-1000000000000000
χ504-4-44-2-4422-22-2-2200-22-2200000000000006−6−666−6−661-1-112-21-1-11000000000000000
χ514-4-44-2-4422-22-2-2200-22-220000000000000−666−6−666−61-1-112-21-1-11000000000000000
χ526666-366-3-3-3-3-3-3-3-2-20000-20022-2-2-2-211111111111100000000002-1-1-1-10000000000
χ536666-366-3-3-3-3-3-3-3-2-20000-200-2-222221111-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-3-6-6-3-3-33333-2-2000020022-2-222-1-1111111-1-1-1-10000000000-211-1-10000000000
χ556666-3-6-6-3-3-33333-2-20000200-2-222-2-2-1-111-1-1-1-1111100000000002-1-1110000000000
χ5666-6-66006-6-600002-200000002i−2i−2i2i0000-22−2i−2i2i2i000000000000000002i−2i0000000000
χ5766-6-66006-6-600002-20000000−2i2i2i−2i0000-222i2i−2i−2i00000000000000000−2i2i0000000000
χ5866-6-6-300-3333333−33−332-200000002i−2i−2i2i00−331-1ii−i−ii3i3−i3−i300000000000−i3i3−ii0000000000
χ5966-6-6-300-3333333−33−332-20000000−2i2i2i−2i00−331-1−i−iii−i3−i3i3i300000000000i3−i3i−i0000000000
χ6066-6-6-300-333−33−3333332-200000002i−2i−2i2i003−31-1ii−i−i−i3−i3i3i300000000000i3−i3−ii0000000000
χ6166-6-6-300-333−33−3333332-20000000−2i2i2i−2i003−31-1−i−iiii3i3−i3−i300000000000−i3i3i−i0000000000
χ628-88-8800-88-80000002-2-220000000000000000000002-22-2000000000000000000000
χ638-88-8-4004-4443−4343−43002-2-22000000000000000000000-11-1100−33−33000000000000000
χ648-88-8-4004-44−4343−4343002-2-22000000000000000000000-11-11003−33−3000000000000000
χ658-8-88-48-844-4-444-4002-22-2000000000000000000000-111-12-21-1-11000000000000000
χ668-8-88-4-8844-44-4-44002-22-2000000000000000000000-111-1-22-111-1000000000000000

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