Finite Group Databasebeta

← Group #11895905

Character table — Group #11895905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222443344666666121212121212121222441212121212124424444466661212121212124448888121288
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
χ511111111-1-1111111-1-1-1-1111111111111-1-1111-1-11-1-11111-1-1-1-1111-1-11111-1-1-1-1
χ611111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-111-1-11111111-1-1-1-1-1-1-1-111
χ711111111-1-1111111-1-1-1-11111-1-1111111-1-1111-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ811111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111-1-11-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-111-11-1-11-111-1-111-1-1-1-1-11-111-1-11-11-1
χ101111-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-11-1111-11-11-11111-1-111-1-1-11-1-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-11111111-111-11-11-11-1-1-1-111-1-111-11-1-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-11-1-111-1-11111-11-111-1-1-111-1
χ131111-1-111-11111111-1-111-1-1-1-111111111-1111-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-11-11
χ141111-1-111-11111111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-11111111-1-1-1-1-1-11-1-111-111-1
χ151111-1-111-11111111-1-111-1-1-1-1-1-1111111-1111-1-1111-1-1-1-1-1-1-11111-1-11-1-1111-11-1
χ161111-1-111-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-11111-1-111-1-1111-1-11-1-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-2222222-2-2-2-2222200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-200000000000000002-2200000000
χ202222-2-222-22222222-2-222-2-2-2-200000000-22-2-2000000000000000022-200000000
χ212-22-20022002-2-2-22-2000000002-22i−2i2i2i−2i−2i00-220000002-2000000000002i−2i000000
χ222-22-20022002-2-2-22-2000000002-2−2i2i−2i−2i2i2i00-220000002-200000000000−2i2i000000
χ232-22-20022002-2-2-22-200000000-222i−2i2i2i−2i−2i00-22000000-2200000000000−2i2i000000
χ242-22-20022002-2-2-22-200000000-22−2i2i−2i−2i2i2i00-22000000-22000000000002i−2i000000
χ254444441-24411-2-2-21-2-2-2-2-2-211220000001100000222-1-1000000-1-10000000-1-100
χ264444441-24411-2-2-21-2-2-2-2-2-211-2-20000001100000-2-2-2110000001100000001100
χ274444441-2-4-411-2-2-212222-2-21122000000-1-1000002-2-2-1-1000000-1-100000001100
χ284444441-2-4-411-2-2-212222-2-211-2-2000000-1-100000-22211000000110000000-1-100
χ29444444-2144-2-2111-2111111-2-20022-1-1-1-1-2-20022200000-1-1-1-1-1-10000000000000
χ30444444-2144-2-2111-2111111-2-200-2-21111-2-200-2-2-2000001111110000000000000
χ31444444-21-4-4-2-2111-2-1-1-1-111-2-20022-1-1-1-122002-2-200000-1-111110000000000000
χ32444444-21-4-4-2-2111-2-1-1-1-111-2-200-2-211112200-2220000011-1-1-1-10000000000000
χ334444-4-41-24-411-2-2-21-2-22222-1-1220000001-100000-22-2-1-1000000110000000-1100
χ344444-4-41-24-411-2-2-21-2-22222-1-1-2-20000001-1000002-2211000000-1-100000001-100
χ354444-4-41-2-4411-2-2-2122-2-222-1-122000000-1100000-2-22-1-10000001100000001-100
χ364444-4-41-2-4411-2-2-2122-2-222-1-1-2-2000000-110000022-211000000-1-10000000-1100
χ374444-4-4-214-4-2-2111-211-1-1-1-1220022-1-1-1-1-2200-22-20000011-1-1110000000000000
χ384444-4-4-214-4-2-2111-211-1-1-1-12200-2-21111-22002-2200000-1-111-1-10000000000000
χ394444-4-4-21-44-2-2111-2-1-111-1-1220022-1-1-1-12-200-2-22000001111-1-10000000000000
χ404444-4-4-21-44-2-2111-2-1-111-1-12200-2-211112-20022-200000-1-1-1-1110000000000000
χ4144-4-4004400-444-4-4-40000000000000000000000000000000000000000022−220000
χ4244-4-4004400-444-4-4-400000000000000000000000000000000000000000−22220000
χ434-44-40044004-4-4-44-40000000000000000004-4000000000000000000000000000
χ444-4-444-44400-4-4-44-4400004-44-4000000000000000000000000000000000000000
χ454-4-444-4-210022-11-1-23i−3i3i−3i1-1-220000−i3i3−i3i3000000000000−i3i33−33−30000000000000
χ464-4-444-4-210022-11-1-23i−3i3i−3i1-1-220000i3−i3i3−i3000000000000i3−i3−33−330000000000000
χ474-4-444-4-210022-11-1-2−3i3i−3i3i1-1-220000−i3i3−i3i3000000000000−i3i3−33−330000000000000
χ484-4-444-4-210022-11-1-2−3i3i−3i3i1-1-220000i3−i3i3−i3000000000000i3−i33−33−30000000000000
χ494-4-44-444400-4-4-44-440000-44-44000000000000000000000000000000000000000
χ504-4-44-44-210022-11-1-23i−3i−3i3i-112-20000−i3i3−i3i3000000000000i3−i33−3−330000000000000
χ514-4-44-44-210022-11-1-23i−3i−3i3i-112-20000i3−i3i3−i3000000000000−i3i3−333−30000000000000
χ524-4-44-44-210022-11-1-2−3i3i3i−3i-112-20000−i3i3−i3i3000000000000i3−i3−333−30000000000000
χ534-4-44-44-210022-11-1-2−3i3i3i−3i-112-20000i3−i3i3−i3000000000000−i3i33−3−330000000000000
χ5488-8-8002-400-22-444-2000000000000000000000000000000000023−2300000000000
χ5588-8-8002-400-22-444-20000000000000000000000000000000000−232300000000000
χ5688-8-800-42004-42-2-2400000000000023−23−23230000000000000000000000000000000
χ5788-8-800-42004-42-2-24000000000000−232323−230000000000000000000000000000000
χ588-88-8002-4002-244-4-2000000004-40000000000000000-220000000000000000000
χ598-88-8002-4002-244-4-200000000-4400000000000000002-20000000000000000000
χ608-88-800-4200-44-2-22400000000004i−4i−2i−2i2i2i0000000000000000000000000000000
χ618-88-800-4200-44-2-2240000000000−4i4i2i2i−2i−2i0000000000000000000000000000000
χ628-8-888-82-400-2-24-4420000-442-2000000000000000000000000000000000000000
χ638-8-88-882-400-2-24-44200004-4-22000000000000000000000000000000000000000

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