Finite Group Databasebeta

← Group #11713218

Character table — Group #11713218

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122223333466668888881216161616161624242424242424242424242424242424242432323232
order122222442222422443446664661212121244444444448888888812121212
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-1111111-1-1-11111-1111-1-1-111-1-11-111-1-111-1-111-1-111-1-111-1-1
χ61111-1-1111111-1-1-11111-1111-1-1-111-1-11-1-1-111-1-111-1-111-1-11111-1-1
χ71111-1-1111111-1-1-1111-11111-1-1-111-1-1-1111-1-111-1-1-1-111-1-111-1-111
χ81111-1-1111111-1-1-1111-11111-1-1-111-1-1-11-1-111-1-11111-1-111-1-1-1-111
χ922222222222222222-122-1-1-12-1-1-1-1-1-1220000000000000000-1-1-1-1
χ1022222222222222222-1-2-2-1-1-12-1-1-1-1-1-1-2-200000000000000001111
χ11222222-2-22222-222-2-2200222-222-2-2-2-20000000000000000000000
χ12222222-2-22222-222-2-2-100-1-1-1-2-1-11111000000000000000000−i3i3−i3i3
χ13222222-2-22222-222-2-2-100-1-1-1-2-1-11111000000000000000000i3−i3i3−i3
χ142222-2-2222222-2-2-222-12-2-1-1-1-211-1-1112-20000000000000000-1-111
χ152222-2-2222222-2-2-222-1-22-1-1-1-211-1-111-22000000000000000011-1-1
χ162222-2-2-2-222222-2-2-2-22002222-2-2-2-2220000000000000000000000
χ172222-2-2-2-222222-2-2-2-2-100-1-1-121111-1-1000000000000000000−i3i3i3−i3
χ182222-2-2-2-222222-2-2-2-2-100-1-1-121111-1-1000000000000000000i3−i3−i3i3
χ192-22-2002-222-2-20002-2200-2-220002-20000002i−2i002i−2i000000000000
χ202-22-2002-222-2-20002-2200-2-220002-2000000−2i2i00−2i2i000000000000
χ212-22-200-2222-2-2000-22200-2-22000-2200002i−2i002i−2i00000000000000
χ222-22-200-2222-2-2000-22200-2-22000-220000−2i2i00−2i2i00000000000000
χ232-2-222-2002-2-2202-2002002-2-202-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ242-2-222-2002-2-2202-2002002-2-202-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ252-2-22-22002-2-220-22002002-2-20-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ262-2-22-22002-2-220-22002002-2-20-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ2733333333-1-1-1-13-1-1-1-1033000-1000000-1-11111-1-1-1-11111-1-1-1-10000
χ2833333333-1-1-1-13-1-1-1-1033000-1000000-1-1-1-1-1-11111-1-1-1-111110000
χ2933333333-1-1-1-13-1-1-1-10-3-3000-1000000111111-1-1-1-1-1-1-1-111110000
χ3033333333-1-1-1-13-1-1-1-10-3-3000-100000011-1-1-1-111111111-1-1-1-10000
χ313333-3-333-1-1-1-1-311-1-103-30001000000-1111-1-1-1-11111-1-1-1-1110000
χ323333-3-333-1-1-1-1-311-1-103-30001000000-11-1-11111-1-1-1-11111-1-10000
χ333333-3-333-1-1-1-1-311-1-10-3300010000001-111-1-1-1-111-1-11111-1-10000
χ343333-3-333-1-1-1-1-311-1-10-3300010000001-1-1-11111-1-111-1-1-1-1110000
χ3544-4-400004-44-400000400-44-400000000000000000000000000000
χ3644-4-400004-44-400000-2002-220000023−230000000000000000000000
χ3744-4-400004-44-400000-2002-2200000−23230000000000000000000000
χ384-44-4004-444-4-40004-4-20022-2000-22000000000000000000000000
χ394-44-400-4444-4-4000-44-20022-20002-2000000000000000000000000
χ404-4-444-4004-4-4404-400-200-2220-2200000000000000000000000000
χ414-4-44-44004-4-440-4400-200-22202-200000000000000000000000000
χ42666666-6-6-2-2-2-2-6-2-22200000020000000000000000000000000000
χ436666-6-6-6-6-2-2-2-262222000000-20000000000000000000000000000
χ446-66-6006-6-2-222000-22000000000000000002i−2i00−2i2i000000000000
χ456-66-6006-6-2-222000-2200000000000000000−2i2i002i−2i000000000000
χ466-66-600-66-2-2220002-20000000000000002i−2i00−2i2i00000000000000
χ476-66-600-66-2-2220002-2000000000000000−2i2i002i−2i00000000000000
χ486-6-666-600-222-20-220000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ496-6-666-600-222-20-220000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ506-6-66-6600-222-202-20000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ516-6-66-6600-222-202-20000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ521212-12-120000-44-440000000000000000000000000000000000000000

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