Finite Group Databasebeta

← Group #11895804

Character table — Group #11895804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order122244334466666612121212121212122244121212121212442224446666666612124448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1
χ3111111111111111111111111-1-11111111111111-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111111111-1-1111-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-11111111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-1-1-1111111-1-1111-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111-1-11-1-1111111-1-1
χ91111-1-1111-1111111-1-1-1-111-1-1111111111-111-11-1-11-111-1-111-1-1-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1111-11-11-11111-1-111-1-1-11-1-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-11111111-111-11-11-11-1-1-1-111-1-111-11-1-1-111-11-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-111-11-1-111-1-11111-11-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111111111-1111-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-11-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-11111111-1-1-1-1-1-11-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-1111111-1111-1-1111-1-1-1-1-1-1-11111-1-11-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-111-1-1-11111-1-111-1-1111-1-11-1-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-2222222-2-2-2-222-2-2000000002-2-2-200000000000000002-2200000000
χ202222-2-222-22222222-2-2-2-2-2-22200000000-22-2-2000000000000000022-200000000
χ2122-2-200220022-2-2-2-2000000002-22i−2i2i2i−2i−2i00-220000002-2000000000002i−2i000000
χ2222-2-200220022-2-2-2-2000000002-2−2i2i−2i−2i2i2i00-220000002-200000000000−2i2i000000
χ2322-2-200220022-2-2-2-200000000-222i−2i2i2i−2i−2i00-22000000-2200000000000−2i2i000000
χ2422-2-200220022-2-2-2-200000000-22−2i2i−2i−2i2i2i00-22000000-22000000000002i−2i000000
χ254444441-2441-2-211-211-2-2-2-2-2-2220000001100000222-1-1000000-1-10000000-1-100
χ264444441-2441-2-211-211-2-2-2-2-2-2-2-20000001100000-2-2-2110000001100000001100
χ274444441-2-4-41-2-211-211-2-2222222000000-1-1000002-2-2-1-1000000-1-100000001100
χ284444441-2-4-41-2-211-211-2-22222-2-2000000-1-100000-22211000000110000000-1-100
χ29444444-2144-211-2-21-2-21111110022-1-1-1-1-2-20022200000-1-1-1-1-1-10000000000000
χ30444444-2144-211-2-21-2-211111100-2-21111-2-200-2-2-2000001111110000000000000
χ31444444-21-4-4-211-2-21-2-211-1-1-1-10022-1-1-1-122002-2-200000-1-111110000000000000
χ32444444-21-4-4-211-2-21-2-211-1-1-1-100-2-211112200-2220000011-1-1-1-10000000000000
χ334444-4-41-24-41-2-211-2-1-122-2-222220000001-100000-22-2-1-1000000110000000-1100
χ344444-4-41-24-41-2-211-2-1-122-2-222-2-20000001-1000002-2211000000-1-100000001-100
χ354444-4-41-2-441-2-211-2-1-12222-2-222000000-1100000-2-22-1-10000001100000001-100
χ364444-4-41-2-441-2-211-2-1-12222-2-2-2-2000000-110000022-211000000-1-10000000-1100
χ374444-4-4-214-4-211-2-2122-1-111-1-10022-1-1-1-1-2200-22-20000011-1-1110000000000000
χ384444-4-4-214-4-211-2-2122-1-111-1-100-2-21111-22002-2200000-1-111-1-10000000000000
χ394444-4-4-21-44-211-2-2122-1-1-1-1110022-1-1-1-12-200-2-22000001111-1-10000000000000
χ404444-4-4-21-44-211-2-2122-1-1-1-11100-2-211112-20022-200000-1-1-1-1110000000000000
χ4144-4-400440044-4-4-4-40000000000000000004-4000000000000000000000000000
χ424-44-44-44400-4-4-44-444-44-40000000000000000000000000000000000000000000
χ434-44-44-4-21002-1-1-221-221-13-33-30000−i3i3−i3i3000000000000−i3i3−i3i3−i3i30000000000000
χ444-44-44-4-21002-1-1-221-221-13-33-30000i3−i3i3−i3000000000000i3−i3i3−i3i3−i30000000000000
χ454-44-44-4-21002-1-1-221-221-1-33-330000−i3i3−i3i3000000000000−i3i3i3−i3i3−i30000000000000
χ464-44-44-4-21002-1-1-221-221-1-33-330000i3−i3i3−i3000000000000i3−i3−i3i3−i3i30000000000000
χ474-44-4-444400-4-4-44-44-44-440000000000000000000000000000000000000000000
χ484-44-4-44-21002-1-1-2212-2-113-3-330000−i3i3−i3i3000000000000i3−i3−i3i3i3−i30000000000000
χ494-44-4-44-21002-1-1-2212-2-113-3-330000i3−i3i3−i3000000000000−i3i3i3−i3−i3i30000000000000
χ504-44-4-44-21002-1-1-2212-2-11-333-30000−i3i3−i3i3000000000000i3−i3i3−i3−i3i30000000000000
χ514-44-4-44-21002-1-1-2212-2-11-333-30000i3−i3i3−i3000000000000−i3i3−i3i3i3−i30000000000000
χ524-4-44004400-4-44-44-40000000000000000000000000000000000000000022−220000
χ534-4-44004400-4-44-44-400000000000000000000000000000000000000000−22220000
χ5488-8-8002-4002-44-2-24000000004-40000000000000000-220000000000000000000
χ5588-8-8002-4002-44-2-2400000000-4400000000000000002-20000000000000000000
χ5688-8-800-4200-42-244-200000000004i−4i−2i−2i2i2i0000000000000000000000000000000
χ5788-8-800-4200-42-244-20000000000−4i4i2i2i−2i−2i0000000000000000000000000000000
χ588-88-88-82-400-2442-2-42-2-440000000000000000000000000000000000000000000
χ598-88-8-882-400-2442-2-4-224-40000000000000000000000000000000000000000000
χ608-8-88002-400-24-4-224000000000000000000000000000000000023−2300000000000
χ618-8-88002-400-24-4-2240000000000000000000000000000000000−232300000000000
χ628-8-8800-42004-224-4-200000000000023−23−23230000000000000000000000000000000
χ638-8-8800-42004-224-4-2000000000000−232323−230000000000000000000000000000000

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