Finite Group Databasebeta

← Group #11713219

Character table — Group #11713219

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122223333466668888881216161616161624242424242424242424242424242424242432323232
order1222224422224224423466646612121212244444444488888888661212
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111-11-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-11-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ71111-1-1111111-1-1-111-111111-1-1-111-1-1-1111-1-111-1-1-1-111-1-111-1-111
χ81111-1-1111111-1-1-111-111111-1-1-111-1-1-11-1-111-1-11111-1-111-1-1-1-111
χ9222222222222222222-12-1-1-12-1-1-1-1-1-1220000000000000000-1-1-1-1
χ1022222222222222222-2-1-2-1-1-12-1-1-1-1-1-1-2-200000000000000001111
χ11222222-2-22222-222-2-2020222-222-2-2-2-20000000000000000000000
χ12222222-2-22222-222-2-20-10-1-1-1-2-1-11111000000000000000000−i3i3−i3i3
χ13222222-2-22222-222-2-20-10-1-1-1-2-1-11111000000000000000000i3−i3i3−i3
χ142222-2-2222222-2-2-2222-1-2-1-1-1-211-1-1112-20000000000000000-1-111
χ152222-2-2222222-2-2-222-2-12-1-1-1-211-1-111-22000000000000000011-1-1
χ162222-2-2-2-222222-2-2-2-20202222-2-2-2-2220000000000000000000000
χ172222-2-2-2-222222-2-2-2-20-10-1-1-121111-1-1000000000000000000−i3i3i3−i3
χ182222-2-2-2-222222-2-2-2-20-10-1-1-121111-1-1000000000000000000i3−i3−i3i3
χ1922-2-2002-222-2-20002-2020-22-20002-20000002i−2i002i−2i000000000000
χ2022-2-2002-222-2-20002-2020-22-20002-2000000−2i2i00−2i2i000000000000
χ2122-2-200-2222-2-2000-22020-22-2000-2200002i−2i002i−2i00000000000000
χ2222-2-200-2222-2-2000-22020-22-2000-220000−2i2i00−2i2i00000000000000
χ232-22-22-2002-22-202-200020-2-2202-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ242-22-22-2002-22-202-200020-2-2202-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ252-22-2-22002-22-20-2200020-2-220-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ262-22-2-22002-22-20-2200020-2-220-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ2733333333-1-1-1-13-1-1-1-1303000-1000000-1-11111-1-1-1-11111-1-1-1-10000
χ2833333333-1-1-1-13-1-1-1-1303000-1000000-1-1-1-1-1-11111-1-1-1-111110000
χ2933333333-1-1-1-13-1-1-1-1-30-3000-1000000111111-1-1-1-1-1-1-1-111110000
χ3033333333-1-1-1-13-1-1-1-1-30-3000-100000011-1-1-1-111111111-1-1-1-10000
χ313333-3-333-1-1-1-1-311-1-130-30001000000-1111-1-1-1-11111-1-1-1-1110000
χ323333-3-333-1-1-1-1-311-1-130-30001000000-11-1-11111-1-1-1-11111-1-10000
χ333333-3-333-1-1-1-1-311-1-1-30300010000001-111-1-1-1-111-1-11111-1-10000
χ343333-3-333-1-1-1-1-311-1-1-30300010000001-1-1-11111-1-111-1-1-1-1110000
χ3544-4-4004-444-4-40004-40-202-22000-22000000000000000000000000
χ3644-4-400-4444-4-4000-440-202-220002-2000000000000000000000000
χ374-44-44-4004-44-404-4000-2022-20-2200000000000000000000000000
χ384-44-4-44004-44-40-44000-2022-202-200000000000000000000000000
χ394-4-4400004-4-44000000404-4-400000000000000000000000000000
χ404-4-4400004-4-44000000-20-2220000023−230000000000000000000000
χ414-4-4400004-4-44000000-20-22200000−23230000000000000000000000
χ42666666-6-6-2-2-2-2-6-2-22200000020000000000000000000000000000
χ436666-6-6-6-6-2-2-2-262222000000-20000000000000000000000000000
χ4466-6-6006-6-2-222000-22000000000000000002i−2i00−2i2i000000000000
χ4566-6-6006-6-2-222000-2200000000000000000−2i2i002i−2i000000000000
χ4666-6-600-66-2-2220002-20000000000000002i−2i00−2i2i00000000000000
χ4766-6-600-66-2-2220002-2000000000000000−2i2i002i−2i00000000000000
χ486-66-66-600-22-220-220000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ496-66-66-600-22-220-220000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ506-66-6-6600-22-2202-20000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ516-66-6-6600-22-2202-20000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ5212-12-12120000-444-40000000000000000000000000000000000000000

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