Finite Group Databasebeta

← Group #11713616

Character table — Group #11713616

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222233336666668888881212121212121212121212121212121216161616161624243232323248484848
order1222444444222244444422366688888888888888881212121212122266664444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ51111-1-1-1-1111111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-11-11-1
χ61111-1-1-1-1111111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-1-11-11
χ71111-1-1-1-1111111-1-1-1-111-1111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-11-11
χ81111-1-1-1-1111111-1-1-1-111-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1111-11-1
χ92222222222222222222222-1-1-1-10000000000000000-1-1-1-1-1-122-1-1-1-10000
χ1022222222222222222222-2-2-1-1-1-10000000000000000-1-1-1-1-1-1-2-211110000
χ11222222-2-2-2-2222222-2-2-2-20022220000000000000000-2-222-2-20000000000
χ12222222-2-2-2-2222222-2-2-2-200-1-1-1-1000000000000000011-1-11100−i3i3−i3i30000
χ13222222-2-2-2-2222222-2-2-2-200-1-1-1-1000000000000000011-1-11100i3−i3i3−i30000
χ142222-2-222-2-22222-2-222-2-20022220000000000000000-2-2-2-2220000000000
χ152222-2-222-2-22222-2-222-2-200-1-1-1-100000000000000001111-1-100−i3i3i3−i30000
χ162222-2-222-2-22222-2-222-2-200-1-1-1-100000000000000001111-1-100i3−i3−i3i30000
χ172222-2-2-2-2222222-2-2-2-2222-2-1-1-1-10000000000000000-1-111112-2-1-1110000
χ182222-2-2-2-2222222-2-2-2-222-22-1-1-1-10000000000000000-1-11111-2211-1-10000
χ1922-2-2002-20022-2-2002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-20000000000
χ2022-2-2002-20022-2-2002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-20000000000
χ2122-2-200-220022-2-200-22000022-2-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000-220000000000
χ2222-2-200-220022-2-200-22000022-2-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000-220000000000
χ232-22-22-200002-22-22-20000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2000000000000
χ242-22-22-200002-22-22-20000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2000000000000
χ252-22-2-2200002-22-2-220000002-22-2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200-22000000000000
χ262-22-2-2200002-22-2-220000002-22-2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200-22000000000000
χ272-2-2200002-22-2-2200002-2002-2-2200002-2-2200002-2-222-200000000000000
χ282-2-2200002-22-2-2200002-2002-2-220000-222-20000-222-22-200000000000000
χ292-2-220000-222-2-220000-22002-2-222-2-2200002-2-220000-2200000000000000
χ302-2-220000-222-2-220000-22002-2-22-222-20000-222-20000-2200000000000000
χ313333333333-1-1-1-1-1-1-1-1-1-133000011111111-1-1-1-1-1-1-1-1000000-1-1000011-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-1330000-1-1-1-1-1-1-1-111111111000000-1-10000-1-111
χ333333333333-1-1-1-1-1-1-1-1-1-1-3-3000011111111-1-1-1-1-1-1-1-1000000110000-1-111
χ343333333333-1-1-1-1-1-1-1-1-1-1-3-30000-1-1-1-1-1-1-1-11111111100000011000011-1-1
χ353333-3-3-3-333-1-1-1-11111-1-13-300001111-1-1-1-1-1-1-1-11111000000-1100001-1-11
χ363333-3-3-3-333-1-1-1-11111-1-13-30000-1-1-1-111111111-1-1-1-1000000-110000-111-1
χ373333-3-3-3-333-1-1-1-11111-1-1-3300001111-1-1-1-1-1-1-1-111110000001-10000-111-1
χ383333-3-3-3-333-1-1-1-11111-1-1-330000-1-1-1-111111111-1-1-1-10000001-100001-1-11
χ3944-4-4004-40044-4-4004-40000-2-22200000000000000000000-220000000000
χ4044-4-400-440044-4-400-440000-2-222000000000000000000002-20000000000
χ414-44-44-400004-44-44-4000000-22-22000000000000000000-22000000000000
χ424-44-4-4400004-44-4-44000000-22-220000000000000000002-2000000000000
χ434-4-4400004-44-4-4400004-400-222-20000000000000000-2200000000000000
χ444-4-440000-444-4-440000-4400-222-200000000000000002-200000000000000
χ45666666-6-6-6-6-2-2-2-2-2-2222200000000000000000000000000000000000000
χ466666-6-666-6-6-2-2-2-222-2-22200000000000000000000000000000000000000
χ4766-6-6006-600-2-22200-2200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4866-6-6006-600-2-22200-2200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4966-6-600-6600-2-222002-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5066-6-600-6600-2-222002-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ516-66-66-60000-22-22-220000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ526-66-66-60000-22-22-220000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ536-66-6-660000-22-222-20000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ546-66-6-660000-22-222-20000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ556-6-6600006-6-222-20000-2200000000002-2-220000-222-20000000000000000
χ566-6-6600006-6-222-20000-220000000000-222-200002-2-220000000000000000
χ576-6-660000-66-222-200002-20000002-2-220000-222-200000000000000000000
χ586-6-660000-66-222-200002-2000000-222-200002-2-2200000000000000000000

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