Finite Group Databasebeta

← Group #11889473

Character table — Group #11889473

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222223344666666666612121212444412121212121244444444121212121212121212122448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111-111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111-11-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1
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
χ511111111-1-11111111111-1-1-1-111111111-1-111-1-11-11-1-1-1-1-1111111-1-111111-1-1-1-1
χ611111111-1-11111111111-1-1-1-111-1-11111-1-111-111-1-11-1-1-1-111-1-1-1-1-1-11-1-1-1-11111
χ711111111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-11111-1-11111-1-11-1-1-1-1-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-1-1-11111111-1-1
χ91111-1-1111-1111111-1-1-1-111-1-1111111111-111-11-11-1-111-1-1-1-111-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111111-111-1-1-111111-1-1-1-1-1-111-11-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-111-1-1-1-11-111111-1-1-1-1-1111111-1-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-11-111-1-11111-1-111-11-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111111111-11111-1-1-1-11-1-111-1-111-1-11-1-111-1-1-11-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-11111-111111-1-11-1-1-111-1-1-1-1111-1-1-1-1111-11-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-111-1111-1-11111-1-11-1-1-1-111-111-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-11111-111-1-111-1-1111-1-111-1-11-1-11
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
χ212-2-22002200-22-2-2-22000000002i−2i2-22i2i−2i−2i002-20000000000002-2000002i−2i000000
χ222-2-22002200-22-2-2-22000000002i−2i-222i2i−2i−2i002-2000000000000-2200000−2i2i000000
χ232-2-22002200-22-2-2-2200000000−2i2i2-2−2i−2i2i2i002-20000000000002-200000−2i2i000000
χ242-2-22002200-22-2-2-2200000000−2i2i-22−2i−2i2i2i002-2000000000000-22000002i−2i000000
χ254444441-2441-21-2-2111-2-2-2-2-2-2002200001100020022000000-1-1-1-10000000-1-100
χ264444441-2441-21-2-2111-2-2-2-2-2-200-2-2000011000-200-2-2000000111100000001100
χ274444441-2-4-41-21-2-2111-2-2222200220000-1-1000-2002-2000000-1-1-1-100000001100
χ284444441-2-4-41-21-2-2111-2-2222200-2-20000-1-1000200-2200000011110000000-1-100
χ29444444-2144-21-211-2-2-21111112200-1-1-1-1-2-200202200-1-1-1-1-1-1000000000000000
χ30444444-2144-21-211-2-2-2111111-2-2001111-2-200-20-2-200111111000000000000000
χ31444444-21-4-4-21-211-2-2-211-1-1-1-12200-1-1-1-12200-202-2001111-1-1000000000000000
χ32444444-21-4-4-21-211-2-2-211-1-1-1-1-2-2001111220020-2200-1-1-1-111000000000000000
χ334444-4-41-24-41-21-2-21-1-122-2-222002200001-1000200-2-2000000-1-1110000000-1100
χ344444-4-41-24-41-21-2-21-1-122-2-22200-2-200001-1000-2002200000011-1-100000001-100
χ354444-4-41-2-441-21-2-21-1-12222-2-200220000-11000-200-22000000-1-11100000001-100
χ364444-4-41-2-441-21-2-21-1-12222-2-200-2-20000-110002002-200000011-1-10000000-1100
χ374444-4-4-214-4-21-211-222-1-111-1-12200-1-1-1-1-2200-20-2200-1-11111000000000000000
χ384444-4-4-214-4-21-211-222-1-111-1-1-2-2001111-2200202-20011-1-1-1-1000000000000000
χ394444-4-4-21-44-21-211-222-1-1-1-1112200-1-1-1-12-20020-2-20011-1-111000000000000000
χ404444-4-4-21-44-21-211-222-1-1-1-111-2-20011112-200-202200-1-111-1-1000000000000000
χ4144-4-4004400-4-444-4-40000000000000000000000000000000000000000022−220000
χ4244-4-4004400-4-444-4-400000000000000000000000000000000000000000−22220000
χ434-44-44-444004-4-4-44-44-44-40000000000000000000000000000000000000000000
χ444-44-44-4-2100-2-12-112-221-13i−3i3i−3i0000−i3i3−i3i300000000003−33−3−i3i3000000000000000
χ454-44-44-4-2100-2-12-112-221-13i−3i3i−3i0000i3−i3i3−i30000000000−33−33i3−i3000000000000000
χ464-44-44-4-2100-2-12-112-221-1−3i3i−3i3i0000−i3i3−i3i30000000000−33−33−i3i3000000000000000
χ474-44-44-4-2100-2-12-112-221-1−3i3i−3i3i0000i3−i3i3−i300000000003−33−3i3−i3000000000000000
χ484-44-4-4444004-4-4-44-4-44-440000000000000000000000000000000000000000000
χ494-44-4-44-2100-2-12-1122-2-113i−3i−3i3i0000−i3i3−i3i300000000003−3−33i3−i3000000000000000
χ504-44-4-44-2100-2-12-1122-2-113i−3i−3i3i0000i3−i3i3−i30000000000−333−3−i3i3000000000000000
χ514-44-4-44-2100-2-12-1122-2-11−3i3i3i−3i0000−i3i3−i3i30000000000−333−3i3−i3000000000000000
χ524-44-4-44-2100-2-12-1122-2-11−3i3i3i−3i0000i3−i3i3−i300000000003−3−33−i3i3000000000000000
χ534-4-44004400-44-4-4-44000000000000000000-44000000000000000000000000000
χ5488-8-8002-400-242-44-2000000000000000000000000000000000023−2300000000000
χ5588-8-8002-400-242-44-20000000000000000000000000000000000−232300000000000
χ5688-8-800-42004-2-42-2400000000000023−23−23230000000000000000000000000000000
χ5788-8-800-42004-2-42-24000000000000−232323−230000000000000000000000000000000
χ588-88-88-82-40024-24-4-22-2-440000000000000000000000000000000000000000000
χ598-88-8-882-40024-24-4-2-224-40000000000000000000000000000000000000000000
χ608-8-88002-400-2-4-244200000000004-400000000000000000000-220000000000000
χ618-8-88002-400-2-4-24420000000000-44000000000000000000002-20000000000000
χ628-8-8800-4200424-2-2-4000000004i−4i00−2i−2i2i2i0000000000000000000000000000000
χ638-8-8800-4200424-2-2-400000000−4i4i002i2i−2i−2i0000000000000000000000000000000

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