Finite Group Databasebeta

← Group #11779238

Character table — Group #11779238

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order12224433446666661212121212121212226666121244444881212121212122424242448888266488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111
χ511111111-1-1111111111-1-1-1-11111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-1111111111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-11111-1-1111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-2222222222-2-2-2-22000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-2-20000-200000000-2-202-2000022-2-2000020000000000
χ122222-2-22200222222-2-2-20000-200000000-2-20-220000-2-222000020000000000
χ132222-2-22200222222-2-2-20000-22222220022-20000-2-200000000-20000000000
χ142222-2-22200222222-2-2-20000-2-2-2-2-2-2-20022200002200000000-20000000000
χ1522-2-20022002-22-2-2-2000000002-222-2-200-22000−i2i2000000−i2−i2i2i20−i2−i2i2i2000000
χ1622-2-20022002-22-2-2-2000000002-222-2-200-22000i2−i2000000i2i2−i2−i20i2i2−i2−i2000000
χ1722-2-20022002-22-2-2-200000000-22-2-22200-22000−i2i2000000−i2−i2i2i20i2i2−i2−i2000000
χ1822-2-20022002-22-2-2-200000000-22-2-22200-22000i2−i2000000i2i2−i2−i20−i2−i2i2i2000000
χ192-22-2-22222-2-2-2-2-222-22-222-2-220000002-20000000000000000002−22−200002−2
χ202-22-2-22222-2-2-2-2-222-22-222-2-220000002-2000000000000000000−22−220000−22
χ212-22-2-2222-22-2-2-2-222-22-2-2-2222000000-220000000000000000002−22−20000−22
χ222-22-2-2222-22-2-2-2-222-22-2-2-2222000000-22000000000000000000−22−2200002−2
χ234444441-24411-2-2-21-2111111-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ244444441-24411-2-2-21-2111111-2-2-21111-2-200-2-2-200111111000000000000000
χ254444441-2-4-411-2-2-21-211-1-1-1-1-222-1-1-1-122002-2-200-1-11111000000000000000
χ264444441-2-4-411-2-2-21-211-1-1-1-1-2-2-211112200-2220011-1-1-1-1000000000000000
χ27444444-2144-2-2111-21-2-2-2-2-2-21000000110000022000000-1-1-1-1000002-1-1000
χ28444444-2144-2-2111-21-2-2-2-2-2-210000001100000-2-2000000111100000-211000
χ29444444-21-4-4-2-2111-21-2-222221000000-1-10000022000000-1-1-1-100000-211000
χ30444444-21-4-4-2-2111-21-2-222221000000-1-100000-2-20000001111000002-1-1000
χ314444-4-41-20011-2-2-212-1-13-33-3222-1-1-1-10000-22-20011-1-111000000000000000
χ324444-4-41-20011-2-2-212-1-13-33-32-2-2111100002-2200-1-111-1-1000000000000000
χ334444-4-41-20011-2-2-212-1-1-33-33222-1-1-1-10000-2-22001111-1-1000000000000000
χ344444-4-41-20011-2-2-212-1-1-33-332-2-21111000022-200-1-1-1-111000000000000000
χ3544-4-40044004-44-4-4-400000000000000004-400000000000000000000000000
χ364-44-44-41-200-1-122-21-2-113-3-33200−i3i3−i3i3000000000−i3i3−i3i3−i3i3000000000000000
χ374-44-44-41-200-1-122-21-2-113-3-33200i3−i3i3−i3000000000i3−i3i3−i3i3−i3000000000000000
χ384-44-44-41-200-1-122-21-2-11-333-3200−i3i3−i3i3000000000−i3i3i3−i3i3−i3000000000000000
χ394-44-44-41-200-1-122-21-2-11-333-3200i3−i3i3−i3000000000i3−i3−i3i3−i3i3000000000000000
χ404-44-44-44400-4-4-4-4444-440000-4000000000000000000000000000000000000
χ414-44-4-441-24-4-1-122-2121-111-1-1-200−i3i3−i3i3-220000000i3−i3−i3i3i3−i3000000000000000
χ424-44-4-441-24-4-1-122-2121-111-1-1-200i3−i3i3−i3-220000000−i3i3i3−i3−i3i3000000000000000
χ434-44-4-441-2-44-1-122-2121-1-1-111-200−i3i3−i3i32-20000000i3−i3i3−i3−i3i3000000000000000
χ444-44-4-441-2-44-1-122-2121-1-1-111-200i3−i3i3−i32-20000000−i3i3−i3i3i3−i3000000000000000
χ454-44-4-44-214-422-1-11-2-1-22-2-22210000001-10000000000000−i3i3−i3i3000000−i3i3000
χ464-44-4-44-214-422-1-11-2-1-22-2-22210000001-10000000000000i3−i3i3−i3000000i3−i3000
χ474-44-4-44-21-4422-1-11-2-1-2222-2-21000000-110000000000000−i3i3−i3i3000000i3−i3000
χ484-44-4-44-21-4422-1-11-2-1-2222-2-21000000-110000000000000i3−i3i3−i3000000−i3i3000
χ494-4-44004400-44-44-4-400000000000000000000000000000000002i−2i−2i2i000000
χ504-4-44004400-44-44-4-40000000000000000000000000000000000−2i2i2i−2i000000
χ518888-8-8-4200-4-4222-4-2440000-2000000000000000000000000000000000000
χ5288-8-8002-4002-2-444-2000000004-4-2-222000000000000000000000000000000
χ5388-8-8002-4002-2-444-200000000-4422-2-2000000000000000000000000000000
χ5488-8-800-4200-442-2-24000000000000000000000−2i22i2000000i2i2−i2−i200000000000
χ5588-8-800-4200-442-2-240000000000000000000002i2−2i2000000−i2−i2i2i200000000000
χ568-88-88-8-420044-2-22-424-40000-2000000000000000000000000000000000000
χ578-8-88002-400-224-44-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ588-8-88002-400-224-44-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ598-8-8800-42004-4-22-24000000000000000000000000000006−6−6600000000000
χ608-8-8800-42004-4-22-2400000000000000000000000000000−666−600000000000

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