Finite Group Databasebeta

← Group #11713940

Character table — Group #11713940

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order1222224422224444422443666666644444121212121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-1-111-1-111111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-1111111-1-1-111-1-111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222222-2-2-2-22222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ11222222-2-22222-2000022-2-222222222-20000-2-2-2-200000000000000000000
χ12222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-2222222-222-2-2-2-222-1-1-11111-1-222-2-2-1-111-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-11111-1-2-2-222-1-1111111-1-1-1-1000000000000
χ162222-2-2-2-2222220000-2-2-2-2222-2-2-2-2220000-2-22200000000000000000000
χ172222-2-2-2-2222220000-2-2-2-2-1-1-11111-12000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222220000-2-2-2-2-1-1-11111-12000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-2-22-20022-2-2000002-20022-222-2-2-2000000000000000002−22−22−22−20000
χ2022-2-22-20022-2-2000002-20022-222-2-2-200000000000000000−22−22−22−220000
χ2122-2-2-220022-2-200000-220022-2-2-222-2000000000000000002−2−222−2−220000
χ2222-2-2-220022-2-200000-220022-2-2-222-200000000000000000−222−2−222−20000
χ232-2-22002-22-22-20002-2002-22-2-2000020002-22-20000002-22-2000000000000
χ242-2-22002-22-22-20002-2002-2-111−i3i3−i3i3-10002-2-11−i3i3−i3i3−i3i3-11-11000000000000
χ252-2-22002-22-22-20002-2002-2-111i3−i3i3−i3-10002-2-11i3−i3i3−i3i3−i3-11-11000000000000
χ262-2-22002-22-22-2000-22002-22-2-200002000-222-2000000-22-22000000000000
χ272-2-22002-22-22-2000-22002-2-111−i3i3−i3i3-1000-22-11−i3i3i3−i3i3−i31-11-1000000000000
χ282-2-22002-22-22-2000-22002-2-111i3−i3i3−i3-1000-22-11i3−i3−i3i3−i3i31-11-1000000000000
χ292-2-2200-222-22-202-20000-222-2-20000202-200-22002-2-220000000000000000
χ302-2-2200-222-22-202-20000-22-111−i3i3−i3i3-102-2001-1i3−i3-111-1−i3i3i3−i3000000000000
χ312-2-2200-222-22-202-20000-22-111i3−i3i3−i3-102-2001-1−i3i3-111-1i3−i3−i3i3000000000000
χ322-2-2200-222-22-20-220000-222-2-2000020-2200-2200-222-20000000000000000
χ332-2-2200-222-22-20-220000-22-111−i3i3−i3i3-10-22001-1i3−i31-1-11i3−i3−i3i3000000000000
χ342-2-2200-222-22-20-220000-22-111i3−i3i3−i3-10-22001-1−i3i31-1-11−i3i3i3−i3000000000000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-13-3-3-3-3-1-1-1-100000000-111110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-13-3-3-3-3-1-1-1-100000000-11111000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-1-333-3-311-1-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-1-333-3-311-1-1000000001-1-111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-1000000000000-1-11111-1-11-1-11
χ4344-4-44-40044-4-4000004-400-2-22-2-222200000000000000000000000000000
χ4444-4-4-440044-4-400000-4400-2-2222-2-2200000000000000000000000000000
χ454-44-400004-4-440000000004-440000-400000000000000000000000000000
χ464-44-400004-4-44000000000-22-2−2i32i32i3−2i3200000000000000000000000000000
χ474-44-400004-4-44000000000-22-22i3−2i3−2i32i3200000000000000000000000000000
χ48666666-6-6-2-2-2-2-60000-2-2220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ5066-6-66-600-2-22200000-220000000000000000000000000002−22−2−22−220000
χ5166-6-66-600-2-22200000-22000000000000000000000000000−22−222−22−20000
χ5266-6-6-6600-2-222000002-20000000000000000000000000002−2−22−222−20000
χ5366-6-6-6600-2-222000002-2000000000000000000000000000−222−22−2−220000
χ546-6-66006-6-22-220006-600-2200000000000-22000000000000000000000000
χ556-6-66006-6-22-22000-6600-22000000000002-2000000000000000000000000
χ566-6-6600-66-22-2206-600002-2000000000-2200000000000000000000000000
χ576-6-6600-66-22-220-6600002-20000000002-200000000000000000000000000
χ5812-1212-120000-444-40000000000000000000000000000000000000000000000

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