Finite Group Databasebeta

← Group #11896007

Character table — Group #11896007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222443344666666121212121212121244441212121212124422244466121212121212121244488886688
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1
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
χ511111111-1-111111111-1-1-1-11111111111-1-1111-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1
χ611111111-1-111111111-1-1-1-11111-1-11111-1-111-1111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ711111111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111111-1-111111-1-1-1-1-1-1-1-111
χ811111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-111111-1-1111111-1-1
χ91111-1-1111-1111111-1-111-1-1-1-1111111111-111-11-1-11-1-1-111-1-111-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-111-1-1-1-111-1-111111-1111-11-11-111-1-1-1-111-1-1-11-1-1-111-11-11
χ111111-1-1111-1111111-1-111-1-1-1-1-1-111-1-1-1-11-111-11-11-11-1-11111-1-111-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1111-1-111-1-111-11-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-111-1-111111111-1111-1-11-1-11-1-111-1-1-1-111-1-1111-1-1-11-11
χ141111-1-111-11111111-1-1-1-111-1-111-1-11111-111111-1-1-1111-1-1-1-1-1-111-1-11-1-1111-11-1
χ151111-1-111-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1111111-1-1-1-11-1-111-111-1
χ161111-1-111-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-11111-1-1-1-1111-1-11-1-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-222222222-2-2-2-22200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-2222222-2-222-2-2-2-2000000002-2-2-200000000000000002-2200000000
χ202222-2-222-22222222-2-2-2-222-2-200000000-22-2-2000000000000000022-200000000
χ2122-2-20022002-22-2-2-2000000002-22i−2i22-2-200-22000000002i−2i0000000002i−2i000000
χ2222-2-20022002-22-2-2-2000000002-2−2i2i22-2-200-2200000000−2i2i000000000−2i2i000000
χ2322-2-20022002-22-2-2-200000000-222i−2i-2-22200-22000000002i−2i000000000−2i2i000000
χ2422-2-20022002-22-2-2-200000000-22−2i2i-2-22200-2200000000−2i2i0000000002i−2i000000
χ254444441-244-2-21-211-2-21111112200-1-1-1-1-2-2000002220000-1-1-1-1-1-100000000000
χ264444441-244-2-21-211-2-2111111-2-2001111-2-200000-2-2-2000011111100000000000
χ274444441-2-4-4-2-21-211-2-2-1-1-1-1112200-1-1-1-122000002-2-20000-1-1111100000000000
χ284444441-2-4-4-2-21-211-2-2-1-1-1-111-2-20011112200000-222000011-1-1-1-100000000000
χ29444444-214411-21-2-211-2-2-2-2-2-2002200001100222000-1-1-1-10000000000000-1-100
χ30444444-214411-21-2-211-2-2-2-2-2-200-2-200001100-2-2-2000111100000000000001100
χ31444444-21-4-411-21-2-2112222-2-200220000-1-1002-2-2000-1-1-1-100000000000001100
χ32444444-21-4-411-21-2-2112222-2-200-2-20000-1-100-22200011110000000000000-1-100
χ334444-4-41-24-4-2-21-2112211-1-1-1-12200-1-1-1-1-2200000-22-2000011-1-11100000000000
χ344444-4-41-24-4-2-21-2112211-1-1-1-1-2-2001111-22000002-220000-1-111-1-100000000000
χ354444-4-41-2-44-2-21-21122-1-111-1-12200-1-1-1-12-200000-2-2200001111-1-100000000000
χ364444-4-41-2-44-2-21-21122-1-111-1-1-2-20011112-20000022-20000-1-1-1-11100000000000
χ374444-4-4-214-411-21-2-2-1-1-2-22222002200001-100-22-200011-1-10000000000000-1100
χ384444-4-4-214-411-21-2-2-1-1-2-2222200-2-200001-1002-22000-1-11100000000000001-100
χ394444-4-4-21-4411-21-2-2-1-122-2-22200220000-1100-2-2200011-1-100000000000001-100
χ404444-4-4-21-4411-21-2-2-1-122-2-22200-2-20000-110022-2000-1-1110000000000000-1100
χ4144-4-40044004-44-4-4-40000000000000000004-4000000000000000000000000000
χ424-44-4004400-44-4-44-400000000000000000000000000000000000000000−2i22i20000
χ434-44-4004400-44-4-44-4000000000000000000000000000000000000000002i2−2i20000
χ444-4-444-41-20022-1-2-112-23i−3i3i−3i1-100003−33−3000000000000003−3−i3i3−i3i300000000000
χ454-4-444-41-20022-1-2-112-23i−3i3i−3i1-10000−33−3300000000000000−33i3−i3i3−i300000000000
χ464-4-444-41-20022-1-2-112-2−3i3i−3i3i1-100003−33−3000000000000003−3i3−i3i3−i300000000000
χ474-4-444-41-20022-1-2-112-2−3i3i−3i3i1-10000−33−3300000000000000−33−i3i3−i3i300000000000
χ484-4-444-44400-4-4-44-44-4400004-4000000000000000000000000000000000000000
χ494-4-44-441-20022-1-2-11-223i−3i−3i3i-1100003−33−300000000000000−33−i3i3i3−i300000000000
χ504-4-44-441-20022-1-2-11-223i−3i−3i3i-110000−33−33000000000000003−3i3−i3−i3i300000000000
χ514-4-44-441-20022-1-2-11-22−3i3i3i−3i-1100003−33−300000000000000−33i3−i3−i3i300000000000
χ524-4-44-441-20022-1-2-11-22−3i3i3i−3i-110000−33−33000000000000003−3−i3i3i3−i300000000000
χ534-4-44-444400-4-4-44-444-40000-44000000000000000000000000000000000000000
χ5488-8-8002-400-4424-2-2000000004-400-2-2220000000000000000000000000000000
χ5588-8-8002-400-4424-2-200000000-440022-2-20000000000000000000000000000000
χ5688-8-800-42002-2-4-24400000000004i−4i0000000000000000−2i2i00000000000000000
χ5788-8-800-42002-2-4-2440000000000−4i4i00000000000000002i−2i00000000000000000
χ588-88-8002-4004-4-242-200000000000023−23−23230000000000000000000000000000000
χ598-88-8002-4004-4-242-2000000000000−232323−230000000000000000000000000000000
χ608-88-800-4200-224-2-4400000000000000000000000000−2i32i30000000000000000000
χ618-88-800-4200-224-2-44000000000000000000000000002i3−2i30000000000000000000
χ628-8-888-8-4200-2-2424-4-220000-44000000000000000000000000000000000000000
χ638-8-88-88-4200-2-2424-42-200004-4000000000000000000000000000000000000000

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