Finite Group Databasebeta

← Group #11712527

Character table — Group #11712527

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122446688888812161616161616242424242424242424323232324848484848
order1222448844234666412122424242444448888866121222888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1
χ31111111111-11-11111111111-1-11111111-1-1-1-1-1-11-1-1
χ41111111111-11-11111111111-1-1-1-11-1-1-1-1-1-1-1-111-111
χ5111111-1-11111-1111111-1-1-1-11-111-111-1-111-1-11-1-11-1
χ6111111-1-11111-1111111-1-1-1-11-1-1-1-1-1-11111-1-1-111-11
χ7111111-1-111-111111111-1-1-1-1-1111-111-1-1-1-111-11-1-11
χ8111111-1-111-111111111-1-1-1-1-11-1-1-1-1-111-1-1111-111-1
χ922222222222-12-1-1-12-1-1-1-1-1-1220020000-1-1-1-100000
χ102222222222-2-1-2-1-1-12-1-1-1-1-1-1-2-20020000111100000
χ11222222-2-2222-1-2-1-1-12-1-111112-200-20000-1-11100000
χ12222222-2-222-2-12-1-1-12-1-11111-2200-2000011-1-100000
χ132222-2-20022020222-2-2-20000002-202-200000000000
χ142222-2-20022020222-2-2-2000000-220-2200000000000
χ1533333333-1-1303000-1000000-1-111-1-1-1-1-10000111-1-1
χ1633333333-1-1303000-1000000-1-1-1-1-111110000-1-1-111
χ1733333333-1-1-30-3000-10000001111-1-1-1-1-10000-1-1111
χ1833333333-1-1-30-3000-100000011-1-1-11111000011-1-1-1
χ19333333-3-3-1-130-3000-1000000-11111-1-11100001-1-1-11
χ20333333-3-3-1-130-3000-1000000-11-1-1111-1-10000-1111-1
χ21333333-3-3-1-1-303000-10000001-1111-1-1110000-11-11-1
χ22333333-3-3-1-1-303000-10000001-1-1-1111-1-100001-11-11
χ234444-4-400440-20-2-2-2-4220000000000000000000000
χ2444-4-44-44-400010-1-110-1111-1-1000000000−i3i3−i3i300000
χ2544-4-44-44-400010-1-110-1111-1-1000000000i3−i3i3−i300000
χ2644-4-44-44-4000-2022-202-2-2-222000000000000000000
χ2744-4-44-4-4400010-1-110-11-1-111000000000−i3i3i3−i300000
χ2844-4-44-4-4400010-1-110-11-1-111000000000i3−i3−i3i300000
χ2944-4-44-4-44000-2022-202-222-2-2000000000000000000
χ3044-4-4-4400000-2022-20-2200000000000−2i22i2000000000
χ3144-4-4-4400000-2022-20-22000000000002i2−2i2000000000
χ324-44-40000-440404-4-40000000000000000000000000
χ334-44-40000-440-20-2220006−66−6000000000000000000
χ344-44-40000-440-20-222000−66−66000000000000000000
χ356666-6-600-2-20000002000000002-20-2200000000000
χ366666-6-600-2-2000000200000000-2202-200000000000
χ3788-8-8-880000020-2-2202-20000000000000000000000
χ388-8-88000000020-22-20006−6−66000000000000000000
χ398-8-88000000020-22-2000−666−6000000000000000000
χ408-8-880000000-404-440000000000000000000000000
χ4112-1212-1200004-40000000000000000000000000000000

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