Finite Group Databasebeta

← Group #11712532

Character table — Group #11712532

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122446688888812161616161616242424242424242424323232324848484848
order122244884434466641212242424242444888881212121244888
χ111111111111111111111111111111111111111111
χ211111111111111111111111-111-11-1-1-1-11111-1-1-1-1-1
χ311111111111-1-111111111111-1-1111111-1-1-1-1-1-11-1-1
χ411111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111-111
χ5111111-1-11111-1111111-1-1-1-11-111-111-1-111-1-1-11-11-1
χ6111111-1-11111-1111111-1-1-1-1-1-11-1-1-1-11111-1-11-11-11
χ7111111-1-1111-11111111-1-1-1-111-11-111-1-1-1-1111-1-1-11
χ8111111-1-1111-11111111-1-1-1-1-11-1-1-1-1-111-1-111-1111-1
χ92222222222-122-1-1-12-1-1-1-1-1-1022020000-1-1-1-100000
χ102222222222-1-2-2-1-1-12-1-1-1-1-1-10-2-2020000111100000
χ11222222-2-222-12-2-1-1-12-1-111110-220-20000-1-11100000
χ12222222-2-222-1-22-1-1-12-1-1111102-20-2000011-1-100000
χ132222-2-20022200222-2-2-20000200-202-200000000000
χ142222-2-20022200222-2-2-20000-20020-2200000000000
χ1533333333-1-1033000-10000001-1-11-1-1-1-1-10000111-1-1
χ1633333333-1-1033000-1000000-1-1-1-1-111110000-1-1-111
χ1733333333-1-10-3-3000-10000001111-1-1-1-1-10000-1-1111
χ1833333333-1-10-3-3000-1000000-111-1-11111000011-1-1-1
χ19333333-3-3-1-103-3000-100000011-111-1-1110000-11-1-11
χ20333333-3-3-1-103-3000-1000000-11-1-1111-1-100001-111-1
χ21333333-3-3-1-10-33000-10000001-1111-1-11100001-1-11-1
χ22333333-3-3-1-10-33000-1000000-1-11-1111-1-10000-111-11
χ234444-4-40044-200-2-2-2-4220000000000000000000000
χ244-44-400004-44004-4-40000000000000000000000000
χ254-44-400004-4-200-222000i6i6−i6−i6000000000000000000
χ264-44-400004-4-200-222000−i6−i6i6i6000000000000000000
χ274-4-444-44i−4i00100-1-1101-1i−ii−i0000000003−3−i3i300000
χ284-4-444-44i−4i00100-1-1101-1i−ii−i000000000−33i3−i300000
χ294-4-444-44i−4i00-20022-20-22−2i2i−2i2i000000000000000000
χ304-4-444-4−4i4i00100-1-1101-1−ii−ii0000000003−3i3−i300000
χ314-4-444-4−4i4i00100-1-1101-1−ii−ii000000000−33−i3i300000
χ324-4-444-4−4i4i00-20022-20-222i−2i2i−2i000000000000000000
χ334-4-44-440000-20022-202-200000000000−2i22i2000000000
χ344-4-44-440000-20022-202-2000000000002i2−2i2000000000
χ356666-6-600-2-20000002000000200-20-2200000000000
χ366666-6-600-2-20000002000000-200202-200000000000
χ3788-8-8000000200-22-20006−6−66000000000000000000
χ3888-8-8000000200-22-2000−666−6000000000000000000
χ3988-8-8000000-4004-440000000000000000000000000
χ408-8-88-880000200-2-220-220000000000000000000000
χ4112-1212-120000-440000000000000000000000000000000

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