Finite Group Databasebeta

← Group #11884351

Character table — Group #11884351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order122244233466666666121212121212222266666124424444466661212121212122448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111-11-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111-1-11-11111-1-1-1-1-1-111111-1-1-1-111-1-1
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
χ5111111-111-1111111-1-111-1-11111111111-1-111-1-1-111-111-1-111-1-1111-1-11111-1-1-1-1
χ6111111-111-1111111-1-111-1-11111-1-11111-1-111-1-111-11-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ7111111-111-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-11-11111-1-111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-11-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-11-11
χ101111-1-1111-111111111-1-1-1-1-1-111-1-111111-1111-11-11-1-1-111-1-1-1-111-1-11-1-1111-11-1
χ111111-1-1111-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-11-11-1111-1-11111-1-1-1-11-1-111-111-1
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-1-1-1-1111111-1-1111-1-11-1-11
χ131111-1-1-1111111111-1-1-1-111-1-111111111-1111-111-1-1-111-1-1-1-111-1-1-11-111-1-11-11-1
χ141111-1-1-1111111111-1-1-1-111-1-111-1-11111-1111-11-1-111-1-1-1-1-1-11111-11-1-1-111-11-11
χ151111-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-11111-111-1-1111111-1-1-1-1-11-1-1-1111-1-11
χ161111-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-111-11-111-1-1-111-1
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ18222222-222-2222222-2-222-2-22200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-2000000000000000022-200000000
χ202222-2-2-2222222222-2-2-2-222-2-200000000-22-2-200000000000000002-2200000000
χ212-2-22000220-2-2-22-22000000002-22-222-2-200-220000002-2000000000002-2000000
χ222-2-22000220-2-2-22-22000000002-2-2222-2-200-22000000-2200000000000-22000000
χ232-2-22000220-2-2-22-2200000000-222-2-2-22200-220000002-200000000000-22000000
χ242-2-22000220-2-2-22-2200000000-22-22-2-22200-22000000-22000000000002-2000000
χ2544444441-24-211-2-21-2-2-2-2-2-211002200001100002022-1-1000000-1-10000000-1-100
χ2644444441-24-211-2-21-2-2-2-2-2-21100-2-20000110000-20-2-2110000001100000001100
χ274444444-2141-2-211-2111111-2-22200-1-1-1-1-2-20022020000-1-1-1-1-1-10000000000000
χ284444444-2141-2-211-2111111-2-2-2-2001111-2-200-2-20-200001111110000000000000
χ29444444-41-2-4-211-2-2122-2-2221100220000-1-10000-202-2-1-1000000-1-100000001100
χ30444444-41-2-4-211-2-2122-2-2221100-2-20000-1-1000020-2211000000110000000-1-100
χ31444444-4-21-41-2-211-2-1-111-1-1-2-22200-1-1-1-12200-2-202000011-1-1110000000000000
χ32444444-4-21-41-2-211-2-1-111-1-1-2-2-2-20011112200220-20000-1-111-1-10000000000000
χ334444-4-441-2-4-211-2-21-2-22222-1-1002200001-10000-20-22-1-10000001100000001-100
χ344444-4-441-2-4-211-2-21-2-22222-1-100-2-200001-10000202-211000000-1-10000000-1100
χ354444-4-44-21-41-2-211-211-1-1-1-1222200-1-1-1-1-22002-20-20000-1-111110000000000000
χ364444-4-44-21-41-2-211-211-1-1-1-122-2-2001111-2200-2202000011-1-1-1-10000000000000
χ374444-4-4-41-24-211-2-212222-2-2-1-100220000-11000020-2-2-1-1000000110000000-1100
χ384444-4-4-41-24-211-2-212222-2-2-1-100-2-20000-110000-202211000000-1-100000001-100
χ394444-4-4-4-2141-2-211-2-1-1-1-111222200-1-1-1-12-200-220-200001111-1-10000000000000
χ404444-4-4-4-2141-2-211-2-1-1-1-11122-2-20011112-2002-2020000-1-1-1-1110000000000000
χ4144-4-4000440-44-4-44-400000000000000000000000000000000000000000−2i22i20000
χ4244-4-4000440-44-4-44-4000000000000000000000000000000000000000002i2−2i20000
χ434-44-44i−4i04404-44-4-4-4004i−4i004i−4i000000000000000000000000000000000000000
χ444-44-44i−4i0-21012-2-1-123-3i−i3i−3i−2i2i0000−i3i3−i3i3000000000000−i3i33−33−30000000000000
χ454-44-44i−4i0-21012-2-1-123-3i−i3i−3i−2i2i0000i3−i3i3−i3000000000000i3−i3−33−330000000000000
χ464-44-44i−4i0-21012-2-1-12-33i−i−3i3i−2i2i0000−i3i3−i3i3000000000000i3−i33−3−330000000000000
χ474-44-44i−4i0-21012-2-1-12-33i−i−3i3i−2i2i0000i3−i3i3−i3000000000000−i3i3−333−30000000000000
χ484-44-4−4i4i04404-44-4-4-400−4i4i00−4i4i000000000000000000000000000000000000000
χ494-44-4−4i4i0-21012-2-1-123-3−ii−3i3i2i−2i0000−i3i3−i3i3000000000000−i3i3−33−330000000000000
χ504-44-4−4i4i0-21012-2-1-123-3−ii−3i3i2i−2i0000i3−i3i3−i3000000000000i3−i33−33−30000000000000
χ514-44-4−4i4i0-21012-2-1-12-33−ii3i−3i2i−2i0000−i3i3−i3i3000000000000i3−i3−333−30000000000000
χ524-44-4−4i4i0-21012-2-1-12-33−ii3i−3i2i−2i0000i3−i3i3−i3000000000000−i3i33−3−330000000000000
χ534-4-44000440-4-4-44-440000000000000000004-4000000000000000000000000000
χ5488-8-80002-4042-24-4-2000000000000000000000000000000000023−2300000000000
χ5588-8-80002-4042-24-4-20000000000000000000000000000000000−232300000000000
χ5688-8-8000-420-2-44-224000000000000−2i32i32i3−2i30000000000000000000000000000000
χ5788-8-8000-420-2-44-2240000000000002i3−2i3−2i32i30000000000000000000000000000000
χ588-88-88i−8i02-40-4-2244-200−4i4i002i−2i000000000000000000000000000000000000000
χ598-88-8−8i8i02-40-4-2244-2004i−4i00−2i2i000000000000000000000000000000000000000
χ608-8-880002-404-2-2-44200000000004-400000000000000-220000000000000000000
χ618-8-880002-404-2-2-4420000000000-44000000000000002-20000000000000000000
χ628-8-88000-420-2442-2-4000000004-400-2-2220000000000000000000000000000000
χ638-8-88000-420-2442-2-400000000-440022-2-20000000000000000000000000000000

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