Finite Group Databasebeta

← Group #11794597

Character table — Group #11794597

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order12224433666666412121212222288888888121212124444442424242424242424444412121212444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1
χ311111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ611111111111111-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-111
χ711111111111111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111
χ811111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1
χ92222222222222222222-2-2-2-2000000002222-2-200000000000000000000-200
χ1022222222222222-22222-2-2-2-200000000-2-2-2-2-2-200000000000000000000200
χ112222-2-2222222220-2-2-2-22222000000000000-2-200000000000022-2-20000000
χ122222-2-2222222220-2-2-2-22222000000000000-2-2000000000000-2-2220000000
χ132222-2-2222222220-2-2-2-2-2-2-2-2000000000000220000000000000000000002i−2i
χ142222-2-2222222220-2-2-2-2-2-2-2-200000000000022000000000000000000000−2i2i
χ1522-2-2002222-2-2-2-2000002-22-222−2−222−2−2000000000022−2−222−2−22-2000000000
χ1622-2-2002222-2-2-2-2000002-22-222−2−2−2−222000000000022−2−2−2−222-22000000000
χ1722-2-2002222-2-2-2-2000002-22-2−2−22222−2−20000000000−2−22222−2−2-22000000000
χ1822-2-2002222-2-2-2-2000002-22-2−2−222−2−2220000000000−2−222−2−2222-2000000000
χ192-22-22-222-2-22-22-2022-2-222-2-20000000000002-22-2000000000000002-200000
χ202-22-22-222-2-22-22-2022-2-222-2-20000000000002-2-2200000000000000-2200000
χ212-22-22-222-2-22-22-2022-2-2-2-2222i−2i2i−2i00000000-2200002i−2i2i−2i000000000000000
χ222-22-22-222-2-22-22-2022-2-2-2-222−2i2i−2i2i00000000-220000−2i2i−2i2i000000000000000
χ232-22-2-2222-2-22-22-20-2-22222-2-2000000000000-22002i−2i000000000000002i−2i000
χ242-22-2-2222-2-22-22-20-2-22222-2-2000000000000-2200−2i2i00000000000000−2i2i000
χ252-22-2-2222-2-22-22-20-2-222-2-22200002-22-200002-2000000002-22-200000000000
χ262-22-2-2222-2-22-22-20-2-222-2-2220000-22-2200002-200000000-22-2200000000000
χ272-2-220022-2-2-22-2200000-222-2i2−i2−i2i22−2−220000000000i2−i2−i2i22−2−22002i−2i0000000
χ282-2-220022-2-2-22-2200000-222-2i2−i2−i2i2−222−20000000000i2−i2−i2i2−222−200−2i2i0000000
χ292-2-220022-2-2-22-2200000-222-2−i2i2i2−i22−2−220000000000−i2i2i2−i22−2−2200−2i2i0000000
χ302-2-220022-2-2-22-2200000-222-2−i2i2i2−i2−222−20000000000−i2i2i2−i2−222−2002i−2i0000000
χ314444441-21-21-2-2141-21-2000000002222-2-2110000220000-1-1-1-1000000-1-1000
χ324444441-21-21-2-2141-21-200000000-2-2-2-2-2-2110000-2-20000111100000011000
χ334444441-21-21-2-21-41-21-200000000222222-1-10000-2-20000-1-1-1-100000011000
χ344444441-21-21-2-21-41-21-200000000-2-2-2-222-1-100002200001111000000-1-1000
χ35444444-21-21-211-24-21-2100002222000011-2-2002200-1-1-1-100000000-1-100000
χ36444444-21-21-211-24-21-210000-2-2-2-2000011-2-200-2-2001111000000001100000
χ37444444-21-21-211-2-4-21-21000022220000-1-12200-2-200-1-1-1-1000000001100000
χ38444444-21-21-211-2-4-21-210000-2-2-2-20000-1-122002200111100000000-1-100000
χ3944-4-4004444-4-4-4-400000-44-440000000000000000000000000000000000000
χ404-44-44-4-212-1-2-1120-212-100002i−2i2i−2i00003i−3i00002-200−ii−ii00000000-1100000
χ414-44-44-4-212-1-2-1120-212-100002i−2i2i−2i0000−3i3i0000-2200−ii−ii000000001-100000
χ424-44-44-4-212-1-2-1120-212-10000−2i2i−2i2i00003i−3i0000-2200i−ii−i000000001-100000
χ434-44-44-4-212-1-2-1120-212-10000−2i2i−2i2i0000−3i3i00002-200i−ii−i00000000-1100000
χ444-44-4-441-2-1212-2-10-121-2000000002-22-2003i−3i00002i−2i0000-11-11000000−ii000
χ454-44-4-441-2-1212-2-10-121-2000000002-22-200−3i3i0000−2i2i0000-11-11000000i−i000
χ464-44-4-441-2-1212-2-10-121-200000000-22-22003i−3i0000−2i2i00001-11-1000000i−i000
χ474-44-4-441-2-1212-2-10-121-200000000-22-2200−3i3i00002i−2i00001-11-1000000−ii000
χ484-4-440044-4-4-44-44000004-4-440000000000000000000000000000000000000
χ498888-8-82-42-42-4-420-24-2400000000000000000000000000000000000000000
χ508888-8-8-42-42-422-404-24-200000000000000000000000000000000000000000
χ5188-8-8002-42-4-244-200000000000002222−22−2200000000000000−2−22200000000000
χ5288-8-8002-42-4-244-20000000000000−22−2222220000000000000022−2−200000000000
χ5388-8-800-42-424-2-240000000002222−22−2200000000000000−2−222000000000000000
χ5488-8-800-42-424-2-24000000000−22−2222220000000000000022−2−2000000000000000
χ558-88-88-82-4-2424-4-202-4-2400000000000000000000000000000000000000000
χ568-88-8-88-424-2-4-22404-2-4200000000000000000000000000000000000000000
χ578-8-88002-4-24-2-442000000000000022−22−222200000000000000−222−200000000000
χ588-8-88002-4-24-2-4420000000000000−222222−22000000000000002−2−2200000000000
χ598-8-8800-424-242-2-40000000002i2−2i2−2i22i200000000000000−i2i2i2−i2000000000000000
χ608-8-8800-424-242-2-4000000000−2i22i22i2−2i200000000000000i2−i2−i2i2000000000000000

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