Finite Group Databasebeta

← Group #11865507

Character table — Group #11865507

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112888899121212121818182424242436363636367272112888899121212121818182424242436363636367272
order12436121222224444466121248888442246612122222444446612124888844
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-1111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111111-1-1
χ4111111111-1-1-1-1111-1-1-1-11-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-1-1-111
χ511-111-1-11111-1-1-11111-1-1-111-1-11-111-111-1-11111-1-1-11111-1-1-111-1-11-1
χ611-111-1-11111-1-1-11111-1-1-1-1-111-1111-111-1-11111-1-1-11111-1-1-1-1-111-11
χ711-111-1-111-1-111-111-1-111-111-1-1-1111-111-1-111-1-111-111-1-111-111-1-1-11
χ811-111-1-111-1-111-111-1-111-1-1-1111-111-111-1-111-1-111-111-1-111-1-1-1111-1
χ922222222200002-2-20000-200000022222222200002-2-20000-2000000
χ102222222-2-20000-20000000i2−i2i2−i2002222222-2-20000-20000000i2−i2i2−i200
χ112222222-2-20000-20000000−i2i2−i2i2002222222-2-20000-20000000−i2i2−i2i200
χ1222-222-2-2220000-2-2-20000200000022-222-2-2220000-2-2-200002000000
χ1322-222-2-2-2-2000020000000i2−i2−i2i20022-222-2-2-2-2000020000000i2−i2−i2i200
χ1422-222-2-2-2-2000020000000−i2i2i2−i20022-222-2-2-2-2000020000000−i2i2i2−i200
χ152-202-200-22002i−2i02-2002i−2i00000002-202-200-22002i−2i02-2002i−2i0000000
χ162-202-200-2200−2i2i02-200−2i2i00000002-202-200-2200−2i2i02-200−2i2i0000000
χ172-202-200-222-2000-222-20000000002-202-200-222-2000-222-2000000000
χ182-202-200-22-22000-22-220000000002-202-200-22-22000-22-22000000000
χ194-404-4004-40000000000000000004-404-4004-4000000000000000000
χ20888-1-1-1-1002222000-1-1-1-10000000888-1-1-1-1002222000-1-1-1-10000000
χ21888-1-1-1-100-2-2-2-200011110000000888-1-1-1-100-2-2-2-200011110000000
χ2288-8-1-1110022-2-2000-1-111000000088-8-1-1110022-2-2000-1-1110000000
χ2388-8-1-11100-2-22200011-1-1000000088-8-1-11100-2-22200011-1-10000000
χ248-80-113i−3i002-22i−2i000-11−ii00000008-80-113i−3i002-22i−2i000-11−ii0000000
χ258-80-113i−3i00-22−2i2i0001-1i−i00000008-80-113i−3i00-22−2i2i0001-1i−i0000000
χ268-80-11−3i3i002-2−2i2i000-11i−i00000008-80-11−3i3i002-2−2i2i000-11i−i0000000
χ278-80-11−3i3i00-222i−2i0001-1−ii00000008-80-11−3i3i00-222i−2i0001-1−ii0000000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ29111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ30111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111
χ31111111111-1-1-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11111-11111-1-1
χ3211-111-1-11111-1-1-11111-1-1-111-1-11-1-1-11-1-111-1-1-1-1111-1-1-1-1111-1-111-11
χ3311-111-1-11111-1-1-11111-1-1-1-1-111-11-1-11-1-111-1-1-1-1111-1-1-1-111111-1-11-1
χ3411-111-1-111-1-111-111-1-111-111-1-1-11-1-11-1-111-1-111-1-11-1-111-1-11-1-1111-1
χ3511-111-1-111-1-111-111-1-111-1-1-1111-1-1-11-1-111-1-111-1-11-1-111-1-1111-1-1-11
χ3622222222200002-2-20000-2000000-2-2-2-2-2-2-2-2-20000-22200002000000
χ372222222-2-20000-20000000i2−i2i2−i200-2-2-2-2-2-2-222000020000000−i2i2−i2i200
χ382222222-2-20000-20000000−i2i2−i2i200-2-2-2-2-2-2-222000020000000i2−i2i2−i200
χ3922-222-2-2220000-2-2-200002000000-2-22-2-222-2-200002220000-2000000
χ4022-222-2-2-2-2000020000000i2−i2−i2i200-2-22-2-222220000-20000000−i2i2i2−i200
χ4122-222-2-2-2-2000020000000−i2i2i2−i200-2-22-2-222220000-20000000i2−i2−i2i200
χ422-202-200-22002i−2i02-2002i−2i0000000-220-22002-200−2i2i0-2200−2i2i0000000
χ432-202-200-2200−2i2i02-200−2i2i0000000-220-22002-2002i−2i0-22002i−2i0000000
χ442-202-200-222-2000-222-2000000000-220-22002-2-220002-2-22000000000
χ452-202-200-22-22000-22-22000000000-220-22002-22-20002-22-2000000000
χ464-404-4004-4000000000000000000-440-4400-44000000000000000000
χ47888-1-1-1-1002222000-1-1-1-10000000-8-8-8111100-2-2-2-200011110000000
χ48888-1-1-1-100-2-2-2-200011110000000-8-8-81111002222000-1-1-1-10000000
χ4988-8-1-1110022-2-2000-1-1110000000-8-8811-1-100-2-22200011-1-10000000
χ5088-8-1-11100-2-22200011-1-10000000-8-8811-1-10022-2-2000-1-1110000000
χ518-80-113i−3i002-22i−2i000-11−ii0000000-8801-1−3i3i00-22−2i2i0001-1i−i0000000
χ528-80-113i−3i00-22−2i2i0001-1i−i0000000-8801-1−3i3i002-22i−2i000-11−ii0000000
χ538-80-11−3i3i002-2−2i2i000-11i−i0000000-8801-13i−3i00-222i−2i0001-1−ii0000000
χ548-80-11−3i3i00-222i−2i0001-1−ii0000000-8801-13i−3i002-2−2i2i000-11i−i0000000

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