Finite Group Databasebeta

← Group #11922957

Character table — Group #11922957

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444668888888888881212121212161616161616161616161616161616161616181818182424243636363636363636727272
order122234444446661212121212124433366666666622412121212121212121212121212121212121212128888661244888888244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111-1-1-1-1111-1-111-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-111-1-1-11-1
χ41111111-1-1-1-1111-1-111-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-11
χ511111-1-111-1-1111-1-1-1-11111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-111-1-11
χ611111-1-111-1-1111-1-1-1-11111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-111-1
χ711111-1-1-1-11111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1
χ811111-1-1-1-11111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022200000000000
χ102222222-2-2-2-2222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-222111111-1-1-1-1-1-111111100002-2-200000000000
χ1122222-2-222-2-2222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-22-222111111111111-1-1-1-1-1-10000-22-200000000000
χ1222222-2-2-2-22222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-11111111111110000-2-2200000000000
χ132222-1222222-1-1-1-1-1-1-1-1-1222-1-12-1-12-1-12-1-1222-1-122-1-1-1-122-1-1-1-122-1-1-1-10000-1-1-100000000000
χ142222-1222222-1-1-1-1-1-1-1-1-122-12-1-12-1-12-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-122-1-10000-1-1-100000000000
χ152222-1222222-1-1-1-1-1-1-1-1-122-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-100000000000
χ162222-122-2-2-2-2-1-1-111-1-111222-1-12-1-12-1-12-1-12-2-2-1-1-2-2111122-1-1-1-1-2-211110000-11100000000000
χ172222-122-2-2-2-2-1-1-111-1-11122-12-1-12-1-12-1-12-12-2-2-1-111-2-211-1-122-1-111-2-2110000-11100000000000
χ182222-122-2-2-2-2-1-1-111-1-11122-1-12-1-12-1-12-1-122-2-2-1-11111-2-2-1-1-1-1221111-2-20000-11100000000000
χ192222-1-2-222-2-2-1-1-11111-1-1222-1-12-1-12-1-12-1-1-22-2-1-1-2-21111-2-2111122-1-1-1-100001-1100000000000
χ202222-1-2-222-2-2-1-1-11111-1-122-12-1-12-1-12-1-12-1-22-2-1-111-2-21111-2-211-1-122-1-100001-1100000000000
χ212222-1-2-222-2-2-1-1-11111-1-122-1-12-1-12-1-12-1-12-22-2-1-11111-2-21111-2-2-1-1-1-12200001-1100000000000
χ222222-1-2-2-2-222-1-1-1-1-11111222-1-12-1-12-1-12-1-1-2-22-1-122-1-1-1-1-2-21111-2-21111000011-100000000000
χ232222-1-2-2-2-222-1-1-1-1-1111122-12-1-12-1-12-1-12-1-2-22-1-1-1-122-1-111-2-21111-2-211000011-100000000000
χ242222-1-2-2-2-222-1-1-1-1-1111122-1-12-1-12-1-12-1-12-2-22-1-1-1-1-1-1221111-2-21111-2-2000011-100000000000
χ2522-2-22000000-2-220000002-2222-2-2-2-2-2-22220002-20000000000000000002i2i−2i−2i0002i−2i000000000
χ2622-2-22000000-2-220000002-2222-2-2-2-2-2-22220002-2000000000000000000−2i−2i2i2i000−2i2i000000000
χ272-22-222i−2i2i−2i2-22-2-22-22i−2i2i−2i00-1-1-1111-1-1-1111000001-11-11-1i−ii−ii−ii−ii−ii−ii2−i2i2−i200000i2−i22−22−2000
χ282-22-222i−2i2i−2i2-22-2-22-22i−2i2i−2i00-1-1-1111-1-1-1111000001-11-11-1i−ii−ii−ii−ii−ii−i−i2i2−i2i200000−i2i2−22−22000
χ292-22-222i−2i−2i2i-222-2-2-222i−2i−2i2i00-1-1-1111-1-1-111100000-11-11-11i−ii−ii−i−ii−ii−iii2−i2i2−i200000−i2i22−2−22000
χ302-22-222i−2i−2i2i-222-2-2-222i−2i−2i2i00-1-1-1111-1-1-111100000-11-11-11i−ii−ii−i−ii−ii−ii−i2i2−i2i200000i2−i2−222−2000
χ312-22-22−2i2i2i−2i-222-2-2-22−2i2i2i−2i00-1-1-1111-1-1-111100000-11-11-11−ii−ii−iii−ii−ii−ii2−i2i2−i200000−i2i2−222−2000
χ322-22-22−2i2i2i−2i-222-2-2-22−2i2i2i−2i00-1-1-1111-1-1-111100000-11-11-11−ii−ii−iii−ii−ii−i−i2i2−i2i200000i2−i22−2−22000
χ332-22-22−2i2i−2i2i2-22-2-22-2−2i2i−2i2i00-1-1-1111-1-1-1111000001-11-11-1−ii−ii−ii−ii−ii−iii2−i2i2−i200000i2−i2−22−22000
χ342-22-22−2i2i−2i2i2-22-2-22-2−2i2i−2i2i00-1-1-1111-1-1-1111000001-11-11-1−ii−ii−ii−ii−ii−ii−i2i2−i2i200000−i2i22−22−2000
χ3533333333333333333333-1-1000000000000-1-1-1-1-10000000000000000001111-1-1-1-1-1111111-1-1-1
χ3633333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ373333333-3-3-3-3333-3-333-3-3-1-1000000000000-111-1-10000000000000000001111-111-1-1-1-111-1-11-11
χ383333333-3-3-3-3333-3-333-3-3-1-1000000000000-111-1-1000000000000000000-1-1-1-1-1111111-1-111-11-1
χ3933333-3-333-3-3333-3-3-3-333-1-10000000000001-11-1-100000000000000000011111-11-1-1-1-1-1-11111-1
χ4033333-3-333-3-3333-3-3-3-333-1-10000000000001-11-1-1000000000000000000-1-1-1-11-11111111-1-1-1-11
χ4133333-3-3-3-33333333-3-3-3-3-1-100000000000011-1-1-1000000000000000000111111-1-1-111-1-1-1-1-111
χ4233333-3-3-3-33333333-3-3-3-3-1-100000000000011-1-1-1000000000000000000-1-1-1-111-111-1-111111-1-1
χ4344-4-44000000-4-440000004-4-2-2-2222222-2-2-20004-4000000000000000000000000000000000000
χ4444-4-4-200000022-20000004-44-2-2-422-4224-2-2000-22000000000000000000000000000000000000
χ4544-4-4-200000022-20000004-4-24-22-422-42-24-2000-22000000000000000000000000000000000000
χ4644-4-4-200000022-20000004-4-2-2422-422-4-2-24000-22000000000000000000000000000000000000
χ474-44-444i−4i4i−4i4-44-4-44-44i−4i4i−4i00111-1-1-1111-1-1-100000-11-11-11−ii−ii−ii−ii−ii−ii000000000000000000
χ484-44-444i−4i−4i4i-444-4-4-444i−4i−4i4i00111-1-1-1111-1-1-1000001-11-11-1−ii−ii−iii−ii−ii−i000000000000000000
χ494-44-44−4i4i4i−4i-444-4-4-44−4i4i4i−4i00111-1-1-1111-1-1-1000001-11-11-1i−ii−ii−i−ii−ii−ii000000000000000000
χ504-44-44−4i4i−4i4i4-44-4-44-4−4i4i−4i4i00111-1-1-1111-1-1-100000-11-11-11i−ii−ii−ii−ii−ii−i000000000000000000
χ514-44-4-24i−4i4i−4i4-4-222-22−2i2i−2i2i0011-2-1-1211-2-1-1200000-11-112-2−ii−ii2i−2i−ii−ii2i−2i000000000000000000
χ524-44-4-24i−4i4i−4i4-4-222-22−2i2i−2i2i001-21-12-11-21-12-100000-112-2-11−ii2i−2i−ii−ii2i−2i−ii000000000000000000
χ534-44-4-24i−4i4i−4i4-4-222-22−2i2i−2i2i00-2112-1-1-2112-1-1000002-2-11-112i−2i−ii−ii2i−2i−ii−ii000000000000000000
χ544-44-4-24i−4i−4i4i-44-2222-2−2i2i2i−2i0011-2-1-1211-2-1-12000001-11-1-22−ii−ii2i−2ii−ii−i−2i2i000000000000000000
χ554-44-4-24i−4i−4i4i-44-2222-2−2i2i2i−2i001-21-12-11-21-12-1000001-1-221-1−ii2i−2i−iii−i−2i2ii−i000000000000000000
χ564-44-4-24i−4i−4i4i-44-2222-2−2i2i2i−2i00-2112-1-1-2112-1-100000-221-11-12i−2i−ii−ii−2i2ii−ii−i000000000000000000
χ574-44-4-2−4i4i4i−4i-44-2222-22i−2i−2i2i0011-2-1-1211-2-1-12000001-11-1-22i−ii−i−2i2i−ii−ii2i−2i000000000000000000
χ584-44-4-2−4i4i4i−4i-44-2222-22i−2i−2i2i001-21-12-11-21-12-1000001-1-221-1i−i−2i2ii−i−ii2i−2i−ii000000000000000000
χ594-44-4-2−4i4i4i−4i-44-2222-22i−2i−2i2i00-2112-1-1-2112-1-100000-221-11-1−2i2ii−ii−i2i−2i−ii−ii000000000000000000
χ604-44-4-2−4i4i−4i4i4-4-222-222i−2i2i−2i0011-2-1-1211-2-1-1200000-11-112-2i−ii−i−2i2ii−ii−i−2i2i000000000000000000
χ614-44-4-2−4i4i−4i4i4-4-222-222i−2i2i−2i001-21-12-11-21-12-100000-112-2-11i−i−2i2ii−ii−i−2i2ii−i000000000000000000
χ624-44-4-2−4i4i−4i4i4-4-222-222i−2i2i−2i00-2112-1-1-2112-1-1000002-2-11-11−2i2ii−ii−i−2i2ii−ii−i000000000000000000
χ634-4-444000000-44-400000000-2-2-2-2-2-22222220000000000000000000000022−22−222200000000000000
χ644-4-444000000-44-400000000-2-2-2-2-2-222222200000000000000000000000−222222−2200000000000000
χ656666-3666666-3-3-3-3-3-3-3-3-3-2-2000000000000-2-2-211000000000000000000000011100000000000
χ666666-366-6-6-6-6-3-3-333-3-333-2-2000000000000-2221100000000000000000000001-1-100000000000
χ676666-3-6-666-6-6-3-3-33333-3-3-2-20000000000002-22110000000000000000000000-11-100000000000
χ686666-3-6-6-6-666-3-3-3-3-33333-2-200000000000022-2110000000000000000000000-1-1100000000000
χ6966-6-66000000-6-66000000-22000000000000000-220000000000000000002i2i−2i−2i000−2i2i000000000
χ7066-6-66000000-6-66000000-22000000000000000-22000000000000000000−2i−2i2i2i0002i−2i000000000
χ718-8-888000000-88-800000000222222-2-2-2-2-2-200000000000000000000000000000000000000000
χ728-8-88-40000004-440000000022-422-4-2-24-2-2400000000000000000000000000000000000000000
χ738-8-88-40000004-44000000002-422-42-24-2-24-200000000000000000000000000000000000000000
χ748-8-88-40000004-4400000000-422-4224-2-24-2-200000000000000000000000000000000000000000
χ751212-12-12-600000066-6000000-440000000000000002-2000000000000000000000000000000000000

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