Finite Group Databasebeta

← Group #11922549

Character table — Group #11922549

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222333344666666888812121212161616161616161616162424242424242424242424243636363636363636363648484848
order12222236662222662266663666246636666666662444661212121212122444444444661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-111111111-1-1-1-1111111111-1-1-11-1-1111-1-1-1-11-11-111-1-111-1-11-111-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-1111111111-1-1-11-1-1111-1-1-1-1-11-11-1-111-1-1111-1-1-111-1-11111-1-1
χ71111-1-111111111-1-1-1-111111111-11-1-11-1-1111-1-1-1-11-11-111-1-111-1-1-11-1-111-1-111-1-111
χ81111-1-111111111-1-1-1-111111111-11-1-11-1-1111-1-1-1-1-11-11-1-111-1-111-1111-1-111-1-1-1-111
χ92222222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002200000000-1-1-1-1
χ102222222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-2000000001111
χ11222222-1-1-1-12222-1-122-1-1-1-1222200-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ12222222-1-1-1-12222-1-122-1-1-1-1222200-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ132222-2-222222222-2-2-2-22222-1-1-1-12-2-2-2-111-1-1-111110000000000002-200000000-1-111
χ142222-2-222222222-2-2-2-22222-1-1-1-1-22-2-2-111-1-1-11111000000000000-220000000011-1-1
χ152222-2-2-1-1-1-1222211-2-2-1-1-1-122220011-1-2-2-1-1-111112-22-2-1-111-1-11100000000000000
χ162222-2-2-1-1-1-1222211-2-2-1-1-1-122220011-1-2-2-1-1-11111-22-2211-1-111-1-100000000000000
χ1722-2-20022-2-222-2-200002-22-222-2-200002002-2-2000000000000000000002i−2i002i−2i0000
χ1822-2-20022-2-222-2-200002-22-222-2-200002002-2-200000000000000000000−2i2i00−2i2i0000
χ192-22-22-22-2-22-222-22-22-2-2-2222-2-22002-222-2-22-222-2-200000000000000000000000000
χ202-22-22-22-2-22-222-22-22-2-2-222-111-1002-2-1-111-11-1-1110000000000000000000000−i3i3−i3i3
χ212-22-22-22-2-22-222-22-22-2-2-222-111-1002-2-1-111-11-1-1110000000000000000000000i3−i3i3−i3
χ222-22-22-2-111-1-222-2-112-211-1-12-2-2200-11-12-21-11-1-1110000−i3i3−i3i3−i3i3−i3i300000000000000
χ232-22-22-2-111-1-222-2-112-211-1-12-2-2200-11-12-21-11-1-1110000i3−i3i3−i3i3−i3i3−i300000000000000
χ242-22-2-222-2-22-222-2-22-22-2-2222-2-2200-222-22-22-2-2-22200000000000000000000000000
χ252-22-2-222-2-22-222-2-22-22-2-222-111-100-22-11-11-1111-1-10000000000000000000000−i3i3i3−i3
χ262-22-2-222-2-22-222-2-22-22-2-222-111-100-22-11-11-1111-1-10000000000000000000000i3−i3−i3i3
χ272-22-2-22-111-1-222-21-1-2211-1-12-2-22001-1-1-221-1111-1-10000−i3i3i3−i3−i3i3i3−i300000000000000
χ282-22-2-22-111-1-222-21-1-2211-1-12-2-22001-1-1-221-1111-1-10000i3−i3−i3i3i3−i3−i3i300000000000000
χ292-2-22002-22-2-22-220000-222-22-22-20000200-2-220000000000000000002-2002-2000000
χ302-2-22002-22-2-22-220000-222-22-22-20000200-2-22000000000000000000-2200-22000000
χ313333333333-1-1-1-133-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-11111-1-1-1-10000
χ323333333333-1-1-1-133-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-1-1-1-1-111110000
χ333333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-111-1-1-1-111110000
χ343333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-11111111111-1-1-1-10000
χ353333-3-33333-1-1-1-1-3-311-1-1-1-100003-31100000000001-1-1111-1-1-1-111-1111-1-1-1-1110000
χ363333-3-33333-1-1-1-1-3-311-1-1-1-100003-3110000000000-111-1-1-11111-1-1-11-1-11111-1-10000
χ373333-3-33333-1-1-1-1-3-311-1-1-1-10000-331100000000001-1-1111-1-1-1-1111-1-1-11111-1-10000
χ383333-3-33333-1-1-1-1-3-311-1-1-1-10000-33110000000000-111-1-1-11111-1-11-111-1-1-1-1110000
χ39444444-2-2-2-24444-2-244-2-2-2-2-2-2-2-200-2-21-2-2111111100000000000000000000000000
χ404444-4-4-2-2-2-2444422-4-4-2-2-2-2-2-2-2-20022122111-1-1-1-100000000000000000000000000
χ4144-4-40044-4-444-4-400004-44-4-2-2220000-200-222000000000000000000000000000000
χ4244-4-400-2-22244-4-40000-22-2244-4-40000-200-222000000000000000000000000000000
χ4344-4-400-2-22244-4-40000-22-22-2-22200001001-1-13-33-300000000000000000000000000
χ4444-4-400-2-22244-4-40000-22-22-2-22200001001-1-1-33-3300000000000000000000000000
χ454-44-44-4-222-2-444-4-224-422-2-2-222-200-221-22-11-111-1-100000000000000000000000000
χ464-44-4-44-222-2-444-42-2-4422-2-2-222-2002-212-2-11-1-1-11100000000000000000000000000
χ474-4-44004-44-4-44-440000-444-4-22-220000-20022-2000000000000000000000000000000
χ484-4-4400-22-22-44-4400002-2-224-44-40000-20022-2000000000000000000000000000000
χ494-4-4400-22-22-44-4400002-2-22-22-220000100-1-113-3-3300000000000000000000000000
χ504-4-4400-22-22-44-4400002-2-22-22-220000100-1-11-333-300000000000000000000000000
χ51666666-3-3-3-3-2-2-2-2-3-3-2-2111100000011000000000022-2-2-1-1-1-1111100000000000000
χ52666666-3-3-3-3-2-2-2-2-3-3-2-21111000000110000000000-2-2221111-1-1-1-100000000000000
χ536666-6-6-3-3-3-3-2-2-2-233221111000000-1-100000000002-2-22-1-11111-1-100000000000000
χ546666-6-6-3-3-3-3-2-2-2-233221111000000-1-10000000000-222-211-1-1-1-11100000000000000
χ5566-6-60066-6-6-2-2220000-22-2200000000000000000000000000000000002i−2i00−2i2i0000
χ5666-6-60066-6-6-2-2220000-22-220000000000000000000000000000000000−2i2i002i−2i0000
χ576-66-66-66-6-662-2-226-6-2222-2-2000000-22000000000000000000000000000000000000
χ586-66-66-6-333-32-2-22-33-22-1-1110000001-100000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ596-66-66-6-333-32-2-22-33-22-1-1110000001-100000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ606-66-6-666-6-662-2-22-662-222-2-20000002-2000000000000000000000000000000000000
χ616-66-6-66-333-32-2-223-32-2-1-111000000-1100000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ626-66-6-66-333-32-2-223-32-2-1-111000000-1100000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ636-6-66006-66-62-22-200002-2-22000000000000000000000000000000002-200-22000000
χ646-6-66006-66-62-22-200002-2-2200000000000000000000000000000000-22002-2000000
χ651212-12-1200-6-666-4-44400002-22-200000000000000000000000000000000000000000000
χ6612-12-121200-66-664-44-40000-222-200000000000000000000000000000000000000000000

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