Finite Group Databasebeta

← Group #11792614

Character table — Group #11792614

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order122244336666664121212122222888888881212121244224424242424242424244444661212444
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
χ1522-2-200222-22-2-2-200000-22-22i2i2−i2−i222−2−20000000000i2i2−i2−i222−2−2002i−2i0000000
χ1622-2-200222-22-2-2-200000-22-22i2i2−i2−i2−2−2220000000000i2i2−i2−i2−2−22200−2i2i0000000
χ1722-2-200222-22-2-2-200000-22-22−i2−i2i2i222−2−20000000000−i2−i2i2i222−2−200−2i2i0000000
χ1822-2-200222-22-2-2-200000-22-22−i2−i2i2i2−2−2220000000000−i2−i2i2i2−2−222002i−2i0000000
χ192-22-20022-22-22-2-200000-2-222i2−i2i2−i22−22−20000000000i2−i2i2−i22−22−22i−2i000000000
χ202-22-20022-22-22-2-200000-2-222i2−i2i2−i2−22−220000000000i2−i2i2−i2−22−22−2i2i000000000
χ212-22-20022-22-22-2-200000-2-222−i2i2−i2i22−22−20000000000−i2i2−i2i22−22−2−2i2i000000000
χ222-22-20022-22-22-2-200000-2-222−i2i2−i2i2−22−220000000000−i2i2−i2i2−22−222i−2i000000000
χ232-2-222-222-2-2-2-22202-2-222-2-2200002-2-2200002-2000000002-2-2200000000000
χ242-2-222-222-2-2-2-22202-2-222-2-220000-222-200002-200000000-222-200000000000
χ252-2-222-222-2-2-2-22202-2-22-222-2000000000000-22002-2000000000000002-2000
χ262-2-222-222-2-2-2-22202-2-22-222-2000000000000-2200-2200000000000000-22000
χ272-2-22-2222-2-2-2-2220-222-22-2-222-2-2200000000-2200002-2-22000000000000000
χ282-2-22-2222-2-2-2-2220-222-22-2-22-222-200000000-220000-222-2000000000000000
χ292-2-22-2222-2-2-2-2220-222-2-222-20000000000002-22-2000000000000002-200000
χ302-2-22-2222-2-2-2-2220-222-2-222-20000000000002-2-2200000000000000-2200000
χ314444441-211-2-2-214-21-21000000002222-2-2110000220000-1-1-1-1000000-1-1000
χ324444441-211-2-2-214-21-2100000000-2-2-2-2-2-2110000-2-20000111100000011000
χ334444441-211-2-2-21-4-21-2100000000222222-1-10000-2-20000-1-1-1-100000011000
χ344444441-211-2-2-21-4-21-2100000000-2-2-2-222-1-100002200001111000000-1-1000
χ35444444-21-2-2111-241-21-200002222000011-2-2002200-1-1-1-100000000-1-100000
χ36444444-21-2-2111-241-21-20000-2-2-2-2000011-2-200-2-2001111000000001100000
χ37444444-21-2-2111-2-41-21-2000022220000-1-12200-2-200-1-1-1-1000000001100000
χ38444444-21-2-2111-2-41-21-20000-2-2-2-20000-1-122002200111100000000-1-100000
χ3944-4-400444-44-4-4-4000004-44-40000000000000000000000000000000000000
χ404-44-40044-44-44-4-40000044-4-40000000000000000000000000000000000000
χ414-4-444-41-2-1-122-210-2-121000000002-2-22003-300002-20000-111-1000000-11000
χ424-4-444-41-2-1-122-210-2-121000000002-2-2200-330000-220000-111-10000001-1000
χ434-4-444-41-2-1-122-210-2-12100000000-222-2003-30000-2200001-1-110000001-1000
χ444-4-444-41-2-1-122-210-2-12100000000-222-200-3300002-200001-1-11000000-11000
χ454-4-44-44-2122-1-11-20-1-21200002-2-2200003-300002-200-111-100000000-1100000
χ464-4-44-44-2122-1-11-20-1-21200002-2-220000-330000-2200-111-1000000001-100000
χ474-4-44-44-2122-1-11-20-1-2120000-222-200003-30000-22001-1-11000000001-100000
χ484-4-44-44-2122-1-11-20-1-2120000-222-20000-3300002-2001-1-1100000000-1100000
χ498888-8-82-422-4-4-4204-24-200000000000000000000000000000000000000000
χ508888-8-8-42-4-4222-40-24-2400000000000000000000000000000000000000000
χ5188-8-8002-42-2-444-200000000000002222−22−2200000000000000−2−22200000000000
χ5288-8-8002-42-2-444-20000000000000−22−2222220000000000000022−2−200000000000
χ5388-8-800-42-442-2-240000000002i22i2−2i2−2i200000000000000−i2−i2i2i2000000000000000
χ5488-8-800-42-442-2-24000000000−2i2−2i22i22i200000000000000i2i2−i2−i2000000000000000
χ558-88-8002-4-224-44-2000000000000022−2222−2200000000000000−22−2200000000000
χ568-88-8002-4-224-44-20000000000000−2222−2222000000000000002−22−200000000000
χ578-88-800-424-4-22-240000000002i2−2i22i2−2i200000000000000−i2i2−i2i2000000000000000
χ588-88-800-424-4-22-24000000000−2i22i2−2i22i200000000000000i2−i2i2−i2000000000000000
χ598-8-888-8-4244-2-22-4024-2-400000000000000000000000000000000000000000
χ608-8-88-882-4-2-244-42042-4-200000000000000000000000000000000000000000

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