Finite Group Databasebeta

← Group #11884196

Character table — Group #11884196

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222223344666666666612121212224466661212442444446612121212121212122448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111-11-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111-1-11-111-1-1-1-1-1-11111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ511111111-1-11111111111-1-1-1-111111111-1-1111-1-1-11-111-1-1-1-11111-1-111111-1-1-1-1
χ611111111-1-11111111111-1-1-1-111-1-11111-1-1111-11-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ711111111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-11-111-1-1-111111111-1-11-1-1-1-1-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-11111-1-1-1-1-1-11111111-1-1
χ91111-1-1111-1111111-1-1-1-111-1-1111111111-111-111-1-1-1-1-111-1-111-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111111-111-11-1-111-1-111-1-1-1-111-11-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-111-1-1-1-11-1111-111-1-111-1-11111-1-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-111-1-111-11-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111111111-1111-1-1-11-11-1-1-1-11111-1-11-1-111-1-1-11-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-11111-1111-1-1111-1-1-1-1-111-1-1111-1-1-1-1111-11-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-1-111111-1-1-111111-1-111-1-11-1-1-1-111-111-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1111-1-111-1-11-1-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-2000000000000000022-200000000
χ192222-2-2222-2222222-2-2-2-222-2-2000000002-2-2-200000000000000002-2200000000
χ202222-2-222-22222222-2-2-2-2-2-22200000000-22-2-20000000000000000-22200000000
χ212-2-22002200-2-2-22-22000000002-22-222-2-200-220000000000002-2000002-2000000
χ222-2-22002200-2-2-22-22000000002-2-2222-2-200-22000000000000-2200000-22000000
χ232-2-22002200-2-2-22-2200000000-222-2-2-22200-220000000000002-200000-22000000
χ242-2-22002200-2-2-22-2200000000-22-22-2-22200-22000000000000-22000002-2000000
χ254444441-2441-21-2-2111-2-2-2-2-2-2002200001100002022000000-1-1-1-10000000-1-100
χ264444441-2441-21-2-2111-2-2-2-2-2-200-2-20000110000-20-2-2000000111100000001100
χ274444441-2-4-41-21-2-2111-2-2222200220000-1-10000-202-2000000-1-1-1-100000001100
χ284444441-2-4-41-21-2-2111-2-2222200-2-20000-1-1000020-2200000011110000000-1-100
χ29444444-2144-21-211-2-2-21111112200-1-1-1-1-2-200220200-1-1-1-1-1-1000000000000000
χ30444444-2144-21-211-2-2-2111111-2-2001111-2-200-2-20-200111111000000000000000
χ31444444-21-4-4-21-211-2-2-211-1-1-1-12200-1-1-1-122002-20-200-1-11111000000000000000
χ32444444-21-4-4-21-211-2-2-211-1-1-1-1-2-20011112200-22020011-1-1-1-1000000000000000
χ334444-4-41-24-41-21-2-21-1-122-2-222002200001-1000020-2-2000000-1-1110000000-1100
χ344444-4-41-24-41-21-2-21-1-122-2-22200-2-200001-10000-202200000011-1-100000001-100
χ354444-4-41-2-441-21-2-21-1-12222-2-200220000-110000-20-22000000-1-11100000001-100
χ364444-4-41-2-441-21-2-21-1-12222-2-200-2-20000-110000202-200000011-1-10000000-1100
χ374444-4-4-214-4-21-211-222-1-111-1-12200-1-1-1-1-2200-220-20011-1-111000000000000000
χ384444-4-4-214-4-21-211-222-1-111-1-1-2-2001111-22002-20200-1-111-1-1000000000000000
χ394444-4-4-21-44-21-211-222-1-1-1-1112200-1-1-1-12-200-2-202001111-1-1000000000000000
χ404444-4-4-21-44-21-211-222-1-1-1-111-2-20011112-200220-200-1-1-1-111000000000000000
χ4144-4-44-4440044-4-4-4-44-44-40000000000000000000000000000000000000000000
χ4244-4-44-4-2100-212-1-12-221-13i−3i3i−3i0000−i3i3−i3i30000000000−i3i33−33−3000000000000000
χ4344-4-44-4-2100-212-1-12-221-13i−3i3i−3i0000i3−i3i3−i30000000000i3−i3−33−33000000000000000
χ4444-4-44-4-2100-212-1-12-221-1−3i3i−3i3i0000−i3i3−i3i30000000000−i3i3−33−33000000000000000
χ4544-4-44-4-2100-212-1-12-221-1−3i3i−3i3i0000i3−i3i3−i30000000000i3−i33−33−3000000000000000
χ4644-4-4-44440044-4-4-4-4-44-440000000000000000000000000000000000000000000
χ4744-4-4-44-2100-212-1-122-2-113i−3i−3i3i0000−i3i3−i3i30000000000i3−i33−3−33000000000000000
χ4844-4-4-44-2100-212-1-122-2-113i−3i−3i3i0000i3−i3i3−i30000000000−i3i3−333−3000000000000000
χ4944-4-4-44-2100-212-1-122-2-11−3i3i3i−3i0000−i3i3−i3i30000000000i3−i3−333−3000000000000000
χ5044-4-4-44-2100-212-1-122-2-11−3i3i3i−3i0000i3−i3i3−i30000000000−i3i33−3−33000000000000000
χ514-44-4004400-4-44-44-400000000000000000000000000000000000000000−2i22i20000
χ524-44-4004400-4-44-44-4000000000000000000000000000000000000000002i2−2i20000
χ534-4-44004400-4-4-44-440000000000000000004-4000000000000000000000000000
χ5488-8-88-82-4002-4-244-22-2-440000000000000000000000000000000000000000000
χ5588-8-8-882-4002-4-244-2-224-40000000000000000000000000000000000000000000
χ568-88-8002-400-2424-4-2000000000000000000000000000000000023−2300000000000
χ578-88-8002-400-2424-4-20000000000000000000000000000000000−232300000000000
χ588-88-800-42004-2-4-224000000000000−2i32i32i3−2i30000000000000000000000000000000
χ598-88-800-42004-2-4-2240000000000002i3−2i3−2i32i30000000000000000000000000000000
χ608-8-88002-400-24-2-44200000000004-400000000000000000000-220000000000000
χ618-8-88002-400-24-2-4420000000000-44000000000000000000002-20000000000000
χ628-8-8800-42004-242-2-4000000004-400-2-2220000000000000000000000000000000
χ638-8-8800-42004-242-2-400000000-440022-2-20000000000000000000000000000000

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