Finite Group Databasebeta

← Group #11799370

Character table — Group #11799370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444448888888888881818181836363636363636363636484848484848484848484848
order1222442334666666666612121212121212128888881616161616161616244466121212121212
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ5111111-111-1111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111
χ6111111-111-1111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ7111111-111-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-1-1111-1-111-1-1
χ8111111-111-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-111-1-1-111-1-111
χ92222222222222222222222222222-2-2-2-2-2-200000000000000000000
χ10222222-222-2222222-2-2-2-222-2-222-2-2-2-2-2-22200000000000000000000
χ112222-2-2222-22222222222-2-2-2-2-2-2-2-200000022−2−222−2−2000000000000
χ122222-2-2222-22222222222-2-2-2-2-2-2-2-2000000−2−222−2−222000000000000
χ132222-2-2-2222222222-2-2-2-2-2-222-2-22200000022−2−2−2−222000000000000
χ142222-2-2-2222222222-2-2-2-2-2-222-2-222000000−2−22222−2−2000000000000
χ152-22-22-20220-2-22-2-2200002-2002-20000002i−2i2−22−2−i2i2−i2i2000000000000
χ162-22-22-20220-2-22-2-2200002-2002-20000002i−2i−22−22i2−i2i2−i2000000000000
χ172-22-22-20220-2-22-2-2200002-2002-2000000−2i2i2−22−2i2−i2i2−i2000000000000
χ182-22-22-20220-2-22-2-2200002-2002-2000000−2i2i−22−22−i2i2−i2i2000000000000
χ192-22-2-220220-2-22-2-220000-2200-220022-2-20000002i−2i−2i2i000000000000
χ202-22-2-220220-2-22-2-220000-2200-220022-2-2000000−2i2i2i−2i000000000000
χ212-22-2-220220-2-22-2-220000-2200-2200-2-222002-2-220000000000000000
χ222-22-2-220220-2-22-2-220000-2200-2200-2-22200-222-20000000000000000
χ2344444441-241-2-21-2111-2-2-2-2-2-211110000000000000002020000-1-1-1-1
χ2444444441-241-2-21-2111-2-2-2-2-2-21111000000000000000-20-200001111
χ254444444-214-211-21-2-2-2111111-2-2-2-2000000000000002020-1-1-1-10000
χ264444444-214-211-21-2-2-2111111-2-2-2-200000000000000-20-2011110000
χ27444444-41-2-41-2-21-21-1-122-2-22211-1-100000000000000020-2000011-1-1
χ28444444-41-2-41-2-21-21-1-122-2-22211-1-1000000000000000-2020000-1-111
χ29444444-4-21-4-211-21-222-1-111-1-1-2-2220000000000000020-20-1-1110000
χ30444444-4-21-4-211-21-222-1-111-1-1-2-22200000000000000-202011-1-10000
χ314444-4-441-2-41-2-21-2111-2-22222-1-1-1-10000000000000000000000−i3i3−i3i3
χ324444-4-441-2-41-2-21-2111-2-22222-1-1-1-10000000000000000000000i3−i3i3−i3
χ334444-4-44-21-4-211-21-2-2-211-1-1-1-12222000000000000000000−i3i3−i3i30000
χ344444-4-44-21-4-211-21-2-2-211-1-1-1-12222000000000000000000i3−i3i3−i30000
χ354444-4-4-41-241-2-21-21-1-12222-2-2-1-1110000000000000000000000−i3i3i3−i3
χ364444-4-4-41-241-2-21-21-1-12222-2-2-1-1110000000000000000000000i3−i3−i3i3
χ374444-4-4-4-214-211-21-222-1-1-1-11122-2-2000000000000000000−i3i3i3−i30000
χ384444-4-4-4-214-211-21-222-1-1-1-11122-2-2000000000000000000i3−i3−i3i30000
χ3944-4-400044044-4-4-4-400000000000022−2222−220000000000000000000000
χ4044-4-400044044-4-4-4-4000000000000−2222−22220000000000000000000000
χ414-4-44000440-4-4-444-400000000000022−22−22220000000000000000000000
χ424-4-44000440-4-4-444-4000000000000−222222−220000000000000000000000
χ4388-8-80002-402-44-24-26-6000000000000000000000000000000000000
χ4488-8-80002-402-44-24-2-66000000000000000000000000000000000000
χ4588-8-8000-420-42-24-240000006i−6i000000000000000000000000000000
χ4688-8-8000-420-42-24-24000000−6i6i000000000000000000000000000000
χ478-88-88-802-40-24-4-2420000-44002-20000000000000000000000000000
χ488-88-88-80-4204-224-2-400002-200-440000000000000000000000000000
χ498-88-8-8802-40-24-4-24200004-400-220000000000000000000000000000
χ508-88-8-880-4204-224-2-40000-22004-40000000000000000000000000000
χ518-8-880002-40-2442-4-200000000006i−6i00000000000000000000000000
χ528-8-880002-40-2442-4-20000000000−6i6i00000000000000000000000000
χ538-8-88000-4204-2-2-424006-60000000000000000000000000000000000
χ548-8-88000-4204-2-2-42400-660000000000000000000000000000000000

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