Finite Group Databasebeta

← Group #11712533

Character table — Group #11712533

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122446688888812161616161616242424242424242424323232324848484848
order122244884434466641212242424242444888881212121244888
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1
χ311111111111-1-1111111111111-1-111111-1-1-1-1-1-11-1-1
χ411111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111-111
χ5111111-1-11111-1111111-1-1-1-1111-1-111-1-111-1-11-1-11-1
χ6111111-1-11111-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-111-11
χ7111111-1-1111-11111111-1-1-1-111-11-111-1-1-1-111-11-1-11
χ8111111-1-1111-11111111-1-1-1-1-1-1-11-1-1-111-1-1111-111-1
χ92222222222-122-1-1-12-1-1-1-1-1-1002220000-1-1-1-100000
χ102222222222-1-2-2-1-1-12-1-1-1-1-1-100-2-220000111100000
χ11222222-2-222-12-2-1-1-12-1-11111002-2-20000-1-11100000
χ12222222-2-222-1-22-1-1-12-1-1111100-22-2000011-1-100000
χ132222-2-20022200222-2-2-200002-20002-200000000000
χ142222-2-20022200222-2-2-20000-22000-2200000000000
χ1533333333-1-1033000-100000011-1-1-1-1-1-1-10000111-1-1
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
χ1833333333-1-10-3-3000-1000000-1-111-11111000011-1-1-1
χ19333333-3-3-1-103-3000-100000011-111-1-11100001-1-1-11
χ20333333-3-3-1-103-3000-1000000-1-1-11111-1-10000-1111-1
χ21333333-3-3-1-10-33000-1000000111-11-1-1110000-11-11-1
χ22333333-3-3-1-10-33000-1000000-1-11-1111-1-100001-11-11
χ234444-4-40044-200-2-2-2-4220000000000000000000000
χ2444-4-44-40000-20022-20-220000000000022−22000000000
χ2544-4-44-40000-20022-20-2200000000000−2222000000000
χ2644-4-4-444-400100-1-110-1111-1-1000000000−i3i3−i3i300000
χ2744-4-4-444-400100-1-110-1111-1-1000000000i3−i3i3−i300000
χ2844-4-4-444-400-20022-202-2-2-222000000000000000000
χ2944-4-4-44-4400100-1-110-11-1-111000000000−i3i3i3−i300000
χ3044-4-4-44-4400100-1-110-11-1-111000000000i3−i3−i3i300000
χ3144-4-4-44-4400-20022-202-222-2-2000000000000000000
χ324-44-400004-44004-4-40000000000000000000000000
χ334-44-400004-4-200-222000i6−i6i6−i6000000000000000000
χ344-44-400004-4-200-222000−i6i6−i6i6000000000000000000
χ356666-6-600-2-200000020000002-2000-2200000000000
χ366666-6-600-2-20000002000000-220002-200000000000
χ3788-8-88-80000200-2-2202-20000000000000000000000
χ388-8-88000000200-22-2000i6−i6−i6i6000000000000000000
χ398-8-88000000200-22-2000−i6i6i6−i6000000000000000000
χ408-8-88000000-4004-440000000000000000000000000
χ4112-1212-120000-440000000000000000000000000000000

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