Finite Group Databasebeta

← Group #11795128

Character table — Group #11795128

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
χ1522-2-22-22222-2-2-2-202-22-222-2-2000022-2-200002-20000000022-2-200000000000
χ1622-2-22-22222-2-2-2-202-22-222-2-20000-2-22200002-200000000-2-22200000000000
χ1722-2-22-22222-2-2-2-202-22-2-2-222000000000000-22002i−2i000000000000002i−2i000
χ1822-2-22-22222-2-2-2-202-22-2-2-222000000000000-2200−2i2i00000000000000−2i2i000
χ1922-2-2-222222-2-2-2-20-22-2222-2-222-2-200000000-22000022-2-2000000000000000
χ2022-2-2-222222-2-2-2-20-22-2222-2-2-2-22200000000-220000-2-222000000000000000
χ2122-2-2-222222-2-2-2-20-22-22-2-2220000000000002-22i−2i000000000000002i−2i00000
χ2222-2-2-222222-2-2-2-20-22-22-2-2220000000000002-2−2i2i00000000000000−2i2i00000
χ232-22-20022-2-222-2-2000002-2-22i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2002-20000000
χ242-22-20022-2-222-2-2000002-2-22i2−i2i2−i2−i2i2−i2i20000000000i2−i2i2−i2−i2i2−i2i200-220000000
χ252-22-20022-2-222-2-2000002-2-22−i2i2−i2i2i2−i2i2−i20000000000−i2i2−i2i2i2−i2i2−i200-220000000
χ262-22-20022-2-222-2-2000002-2-22−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2002-20000000
χ272-2-220022-2-2-2-222000002-22-2i2−i2−i2i2i2−i2−i2i20000000000i2−i2−i2i2i2−i2−i2i22-2000000000
χ282-2-220022-2-2-2-222000002-22-2i2−i2−i2i2−i2i2i2−i20000000000i2−i2−i2i2−i2i2i2−i2-22000000000
χ292-2-220022-2-2-2-222000002-22-2−i2i2i2−i2i2−i2−i2i20000000000−i2i2i2−i2i2−i2−i2i2-22000000000
χ302-2-220022-2-2-2-222000002-22-2−i2i2i2−i2−i2i2i2−i20000000000−i2i2i2−i2−i2i2i2−i22-2000000000
χ314444441-21-21-21-241-2-2100002222000011-2-2002200-1-1-1-100000000-1-100000
χ324444441-21-21-21-241-2-210000-2-2-2-2000011-2-200-2-2001111000000001100000
χ334444441-21-21-21-2-41-2-21000022220000-1-12200-2-200-1-1-1-1000000001100000
χ344444441-21-21-21-2-41-2-210000-2-2-2-20000-1-122002200111100000000-1-100000
χ35444444-21-21-21-214-211-2000000002222-2-2110000220000-1-1-1-1000000-1-1000
χ36444444-21-21-21-214-211-200000000-2-2-2-2-2-2110000-2-20000111100000011000
χ37444444-21-21-21-21-4-211-200000000222222-1-10000-2-20000-1-1-1-100000011000
χ38444444-21-21-21-21-4-211-200000000-2-2-2-222-1-100002200001111000000-1-1000
χ3944-4-44-4-21-212-12-10-2-1120000000022-2-2003i−3i00002i−2i0000-1-111000000−ii000
χ4044-4-44-4-21-212-12-10-2-1120000000022-2-200−3i3i0000−2i2i0000-1-111000000i−i000
χ4144-4-44-4-21-212-12-10-2-11200000000-2-222003i−3i0000−2i2i000011-1-1000000i−i000
χ4244-4-44-4-21-212-12-10-2-11200000000-2-22200−3i3i00002i−2i000011-1-1000000−ii000
χ4344-4-4-441-21-2-12-120-1-221000022-2-200003i−3i00002i−2i00-1-11100000000−ii00000
χ4444-4-4-441-21-2-12-120-1-221000022-2-20000−3i3i0000−2i2i00-1-11100000000i−i00000
χ4544-4-4-441-21-2-12-120-1-2210000-2-22200003i−3i0000−2i2i0011-1-100000000i−i00000
χ4644-4-4-441-21-2-12-120-1-2210000-2-2220000−3i3i00002i−2i0011-1-100000000−ii00000
χ474-44-40044-4-444-4-400000-444-40000000000000000000000000000000000000
χ484-4-440044-4-4-4-44400000-44-440000000000000000000000000000000000000
χ498888-8-82-42-42-42-40-244-200000000000000000000000000000000000000000
χ508888-8-8-42-42-42-4204-2-2400000000000000000000000000000000000000000
χ5188-8-88-82-42-4-24-24024-4-200000000000000000000000000000000000000000
χ5288-8-8-88-42-424-24-2042-2-400000000000000000000000000000000000000000
χ538-88-8002-4-242-4-240000000002i2−2i22i2−2i200000000000000−i2i2−i2i2000000000000000
χ548-88-8002-4-242-4-24000000000−2i22i2−2i22i200000000000000i2−i2i2−i2000000000000000
χ558-88-800-424-2-424-200000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ568-88-800-424-2-424-20000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ578-8-88002-4-24-242-40000000002i2−2i2−2i22i200000000000000−i2i2i2−i2000000000000000
χ588-8-88002-4-24-242-4000000000−2i22i22i2−2i200000000000000i2−i2−i2i2000000000000000
χ598-8-8800-424-24-2-4200000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000000
χ608-8-8800-424-24-2-420000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000000

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