Finite Group Databasebeta

← Group #11922148

Character table — Group #11922148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222223333446666888888881212121212121216161616161616161818242424242424242424242424242424363636363648487272
order12222236664444664444366666664888812123666666622441212121212121212122424242428888121224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1111111111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ41111111111-1-1-1-111-1-111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111-1-111111111-1-1-1-111111-1-1-1-11-111-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-1-111-1-11-1-11
χ61111-1-111111111-1-1-1-111111-1-1-1-11-1-1-111111111-1-1-1-111-11-11111-1-1-1-1-1-111-1-1-111-111-1
χ71111-1-11111-1-1-1-1-1-11111111-1-1-1-11-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11-1-1111-11-1
χ81111-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111111-1-1-11-11
χ922222222222222222222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-122002-1-1-1-1-1-1-1-10000200000000
χ102222222222-2-2-2-222-2-222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-1-2-2002111111110000-200000000
χ11222222-1-1-1-10000-1-100222222222222222-1-1-1-1-1-1-1-1-1-10022-100000000-1-1-1-100000-1-100
χ12222222-1-1-1-10000-1-10022222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-2-1000000001111000001100
χ132222-2-222222222-2-2-2-222-1-1-11111-1-2000022-1-1-1-111112200-2-1-1-1-111110000-200000000
χ142222-2-22222-2-2-2-2-2-22222-1-1-11111-1-2000022-1-1-1-11111-2-200-21111-1-1-1-10000200000000
χ152222-2-2-1-1-1-10000110022222-2-2-2-22-222-2-2-1-1-1-1-1-11111002-2100000000-1-11100000-1100
χ162222-2-2-1-1-1-10000110022222-2-2-2-22-2-2-222-1-1-1-1-1-1111100-2210000000011-1-1000001-100
χ172-22-2002-2-2222-2-200002-22-2-200002000002-222-2-200002-200022-2-200000000000000000
χ182-22-2002-2-2222-2-200002-2-111−i3−i3i3i3-1000002-2-1-111−i3−i3i3i32-2000-1-111−i3−i3i3i30000000000000
χ192-22-2002-2-2222-2-200002-2-111i3i3−i3−i3-1000002-2-1-111i3i3−i3−i32-2000-1-111i3i3−i3−i30000000000000
χ202-22-2002-2-22-2-22200002-22-2-200002000002-222-2-20000-22000-2-22200000000000000000
χ212-22-2002-2-22-2-22200002-2-111−i3−i3i3i3-1000002-2-1-111−i3−i3i3i3-2200011-1-1i3i3−i3−i30000000000000
χ222-22-2002-2-22-2-22200002-2-111i3i3−i3−i3-1000002-2-1-111i3i3−i3−i3-2200011-1-1−i3−i3i3i30000000000000
χ232-2-222-222-2-22i−2i2i−2i2-22i−2i00-11-11-11-1102−22−200-111-11-11-100000i−ii−ii−ii−i2−22−20−i2i2−i2i20000
χ242-2-222-222-2-22i−2i2i−2i2-22i−2i00-11-11-11-110−22−2200-111-11-11-100000i−ii−ii−ii−i−22−220i2−i2i2−i20000
χ252-2-222-222-2-2−2i2i−2i2i2-2−2i2i00-11-11-11-1102−22−200-111-11-11-100000−ii−ii−ii−ii2−22−20i2−i2i2−i20000
χ262-2-222-222-2-2−2i2i−2i2i2-2−2i2i00-11-11-11-110−22−2200-111-11-11-100000−ii−ii−ii−ii−22−220−i2i2−i2i20000
χ272-2-22-2222-2-22i−2i2i−2i-22−2i2i00-11-1-11-11102−2−2200-111-1-11-1100000i−ii−i−ii−ii2−2−220−i2i2i2−i20000
χ282-2-22-2222-2-22i−2i2i−2i-22−2i2i00-11-1-11-1110−222−200-111-1-11-1100000i−ii−i−ii−ii−222−20i2−i2−i2i20000
χ292-2-22-2222-2-2−2i2i−2i2i-222i−2i00-11-1-11-11102−2−2200-111-1-11-1100000−ii−iii−ii−i2−2−220i2−i2−i2i20000
χ302-2-22-2222-2-2−2i2i−2i2i-222i−2i00-11-1-11-1110−222−200-111-1-11-1100000−ii−iii−ii−i−222−20−i2i2i2−i20000
χ31333333333333333333-1-100000000-11111-1-100000000-1-1-1-1-1000000001111-11111-1-1-1-1
χ32333333333333333333-1-100000000-1-1-1-1-1-1-100000000-1-111-100000000-1-1-1-1-1-1-1-1-11111
χ333333333333-3-3-3-333-3-3-1-100000000-11111-1-10000000011-1-1-10000000011111-1-1-1-1-1-111
χ343333333333-3-3-3-333-3-3-1-100000000-1-1-1-1-1-1-1000000001111-100000000-1-1-1-11111111-1-1
χ353333-3-333333333-3-3-3-3-1-100000000111-1-1-1-100000000-1-1-1110000000011-1-1111-1-1-111-1
χ363333-3-333333333-3-3-3-3-1-1000000001-1-111-1-100000000-1-11-1100000000-1-1111-1-1111-1-11
χ373333-3-33333-3-3-3-3-3-333-1-100000000111-1-1-1-10000000011-1110000000011-1-1-1-1-111-11-11
χ383333-3-33333-3-3-3-3-3-333-1-1000000001-1-111-1-100000000111-1100000000-1-111-111-1-11-11-1
χ39444444-2-2-2-20000-2-20044-2-2-2-2-2-2-2-240000-2-2111111110000-2000000000000000000000
χ404444-4-4-2-2-2-20000220044-2-2-22222-2-40000-2-21111-1-1-1-100002000000000000000000000
χ4144-4-4004-44-44i−4i−4i4i00000011-1−i3i3i3−i3-100000001-11-1−i3i3i3−i300000−iii−i3−3−330000000000000
χ4244-4-4004-44-44i−4i−4i4i00000011-1i3−i3−i3i3-100000001-11-1i3−i3−i3i300000−iii−i−333−30000000000000
χ4344-4-4004-44-44i−4i−4i4i000000-2-22000020000000-22-220000000002i−2i−2i2i00000000000000000
χ4444-4-4004-44-4−4i4i4i−4i00000011-1−i3i3i3−i3-100000001-11-1−i3i3i3−i300000i−i−ii−333−30000000000000
χ4544-4-4004-44-4−4i4i4i−4i00000011-1i3−i3−i3i3-100000001-11-1i3−i3−i3i300000i−i−ii3−3−330000000000000
χ4644-4-4004-44-4−4i4i4i−4i000000-2-22000020000000-22-22000000000−2i2i2i−2i00000000000000000
χ474-44-400-222-2000000004-44-4-40000400000-22-2-222000000000000000000000000000000
χ484-44-400-222-2000000004-4-222−2i3−2i32i32i3-200000-2211-1-1i3i3−i3−i300000000000000000000000000
χ494-44-400-222-2000000004-4-2222i32i3−2i3−2i3-200000-2211-1-1−i3−i3i3i300000000000000000000000000
χ504-4-444-444-4-44i−4i4i−4i4-44i−4i001-11-11-11-100000001-1-11-11-1100000−ii−ii−ii−ii0000000000000
χ514-4-444-444-4-4−4i4i−4i4i4-4−4i4i001-11-11-11-100000001-1-11-11-1100000i−ii−ii−ii−i0000000000000
χ524-4-444-4-2-2220000-220000-22-22-22-22022−2222−22001-1-11-11-110000000000000−22−22000000000
χ534-4-444-4-2-2220000-220000-22-22-22-220−2222−2222001-1-11-11-1100000000000002−22−2000000000
χ544-4-44-4444-4-44i−4i4i−4i-44−4i4i001-111-11-1-100000001-1-111-11-100000−ii−iii−ii−i0000000000000
χ554-4-44-4444-4-4−4i4i−4i4i-444i−4i001-111-11-1-100000001-1-111-11-100000i−ii−i−ii−ii0000000000000
χ564-4-44-44-2-22200002-20000-22-2-22-222022−22−2222001-1-111-11-10000000000000−222−2000000000
χ574-4-44-44-2-22200002-20000-22-2-22-2220−222222−22001-1-111-11-100000000000002−2−22000000000
χ58666666-3-3-3-30000-3-300-2-200000000-22222110000000000-2-2100000000-1-1-1-1000001100
χ59666666-3-3-3-30000-3-300-2-200000000-2-2-2-2-211000000000022100000000111100000-1-100
χ606666-6-6-3-3-3-300003300-2-200000000222-2-2110000000000-22-100000000-1-111000001-100
χ616666-6-6-3-3-3-300003300-2-2000000002-2-2221100000000002-2-10000000011-1-100000-1100
χ626-66-6006-6-6666-6-60000-220000000000000-2200000000-22000000000000000000000000
χ636-66-6006-6-66-6-6660000-220000000000000-22000000002-2000000000000000000000000
χ6488-8-800-44-44000000000022-2−2i32i32i3−2i3-20000000-11-11i3−i3−i3i300000000000000000000000000
χ6588-8-800-44-44000000000022-22i3−2i3−2i32i3-20000000-11-11−i3i3i3−i300000000000000000000000000
χ6688-8-800-44-440000000000-4-440000400000002-22-2000000000000000000000000000000
χ678-8-888-8-4-4440000-4400002-22-22-22-20000000-111-11-11-100000000000000000000000000
χ688-8-88-88-4-44400004-400002-222-22-2-20000000-111-1-11-1100000000000000000000000000
χ6912-1212-1200-666-600000000-4400000000000002-20000000000000000000000000000000000

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