Finite Group Databasebeta

← Group #11889320

Character table — Group #11889320

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order12224423346666666612121212121222446666612442444446612121212121212122448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111-1-11-1111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111-1-111-11-1-1-1-1-1-11111111-1-1-1-111-1-1
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
χ5111111-111-1111111-1-11111-1-111111111-1-111-1-11-11-1-1-111-1-111111-1-11111-1-1-1-1
χ6111111-111-1111111-1-11111-1-111-1-11111-1-111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ7111111-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-11111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-11-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-1111-1-11-1-111-1-1-1-111-1-1-1-1111-1-1-11-11
χ101111-1-1111-111111111-1-1-1-1-1-111-1-111111-1111-11-1-1111-1-1-1-1-1-111-1-11-1-1111-11-1
χ111111-1-1111-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-11-111-1-1-1111111-1-1-1-11-1-111-111-1
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-111-1-11111-1-111-1-1111-1-11-1-11
χ131111-1-1-1111111111-1-1-1-1-1-11111111111-1111-11-1-1-11-1-1-1-11111-1-1-11-111-1-11-11-1
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-11111-1111-1111-1-1-1-1-1-111-1-111-11-1-1-111-11-11
χ151111-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1111111-1-111-1-1-11-1-1-1111-1-11
χ161111-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1111-11111-1-1-1-111-11-111-1-1-111-1
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ18222222-222-2222222-2-22222-2-200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-2000000000000000022-200000000
χ202222-2-2-2222222222-2-2-2-2-2-22200000000-22-2-200000000000000002-2200000000
χ212-2-22000220-22-22-2-2000000002-22i−2i22-2-2002-20000000000002i−2i000002i−2i000000
χ222-2-22000220-22-22-2-2000000002-2−2i2i22-2-2002-2000000000000−2i2i00000−2i2i000000
χ232-2-22000220-22-22-2-200000000-222i−2i-2-222002-20000000000002i−2i00000−2i2i000000
χ242-2-22000220-22-22-2-200000000-22−2i2i-2-222002-2000000000000−2i2i000002i−2i000000
χ2544444441-24-211-2-21-2-211-2-2-2-2002200001100002202000000-1-1-1-10000000-1-100
χ2644444441-24-211-2-21-2-211-2-2-2-200-2-20000110000-2-20-2000000111100000001100
χ274444444-2141-2-211-211-2-211112200-1-1-1-1-2-200220020-1-1-1-1-1-1000000000000000
χ284444444-2141-2-211-211-2-21111-2-2001111-2-200-2-200-20111111000000000000000
χ29444444-41-2-4-211-2-212211-2-22200220000-1-100002-20-2000000-1-1-1-100000001100
χ30444444-41-2-4-211-2-212211-2-22200-2-20000-1-10000-220200000011110000000-1-100
χ31444444-4-21-41-2-211-2-1-1-2-211-1-12200-1-1-1-12200-2-2002011-1-111000000000000000
χ32444444-4-21-41-2-211-2-1-1-2-211-1-1-2-200111122002200-20-1-111-1-1000000000000000
χ334444-4-441-2-4-211-2-21-2-2-1-12222002200001-10000-220-2000000-1-11100000001-100
χ344444-4-441-2-4-211-2-21-2-2-1-1222200-2-200001-100002-20200000011-1-10000000-1100
χ354444-4-44-21-41-2-211-21122-1-1-1-12200-1-1-1-1-22002-200-20-1-11111000000000000000
χ364444-4-44-21-41-2-211-21122-1-1-1-1-2-2001111-2200-22002011-1-1-1-1000000000000000
χ374444-4-4-41-24-211-2-2122-1-122-2-200220000-110000-2-202000000-1-1110000000-1100
χ384444-4-4-41-24-211-2-2122-1-122-2-200-2-20000-110000220-200000011-1-100000001-100
χ394444-4-4-4-2141-2-211-2-1-122-1-1112200-1-1-1-12-200-2200-201111-1-1000000000000000
χ404444-4-4-4-2141-2-211-2-1-122-1-111-2-20011112-2002-20020-1-1-1-111000000000000000
χ4144-4-4000440-4-44-44-400000000000000000000000000000000000000000−2i22i20000
χ4244-4-4000440-4-44-44-4000000000000000000000000000000000000000002i2−2i20000
χ434-44-44i−4i04404-4-4-4-44004i−4i4i−4i00000000000000000000000000000000000000000
χ444-44-44i−4i0-210122-1-1-23-3−2i2ii−i3i−3i0000−i3i3−i3i30000000000−i3i33−33−3000000000000000
χ454-44-44i−4i0-210122-1-1-23-3−2i2ii−i3i−3i0000i3−i3i3−i30000000000i3−i3−33−33000000000000000
χ464-44-44i−4i0-210122-1-1-2-33−2i2ii−i−3i3i0000−i3i3−i3i30000000000i3−i33−3−33000000000000000
χ474-44-44i−4i0-210122-1-1-2-33−2i2ii−i−3i3i0000i3−i3i3−i30000000000−i3i3−333−3000000000000000
χ484-44-4−4i4i04404-4-4-4-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ494-44-4−4i4i0-210122-1-1-23-32i−2i−ii−3i3i0000−i3i3−i3i30000000000−i3i3−33−33000000000000000
χ504-44-4−4i4i0-210122-1-1-23-32i−2i−ii−3i3i0000i3−i3i3−i30000000000i3−i33−33−3000000000000000
χ514-44-4−4i4i0-210122-1-1-2-332i−2i−ii3i−3i0000−i3i3−i3i30000000000i3−i3−333−3000000000000000
χ524-44-4−4i4i0-210122-1-1-2-332i−2i−ii3i−3i0000i3−i3i3−i30000000000−i3i33−3−33000000000000000
χ534-4-44000440-44-44-4-4000000000000000000-44000000000000000000000000000
χ5488-8-80002-404-224-4-2000000000000000000000000000000000023−2300000000000
χ5588-8-80002-404-224-4-20000000000000000000000000000000000−232300000000000
χ5688-8-8000-420-24-4-224000000000000−2i32i32i3−2i30000000000000000000000000000000
χ5788-8-8000-420-24-4-2240000000000002i3−2i3−2i32i30000000000000000000000000000000
χ588-88-88i−8i02-40-4-2-2442002i−2i−4i4i00000000000000000000000000000000000000000
χ598-88-8−8i8i02-40-4-2-244200−2i2i4i−4i00000000000000000000000000000000000000000
χ608-8-880002-4042-2-44-200000000004i−4i00000000000000000000−2i2i0000000000000
χ618-8-880002-4042-2-44-20000000000−4i4i000000000000000000002i−2i0000000000000
χ628-8-88000-420-2-442-24000000004-400-2-2220000000000000000000000000000000
χ638-8-88000-420-2-442-2400000000-440022-2-20000000000000000000000000000000

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