Finite Group Databasebeta

← Group #11712526

Character table — Group #11712526

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122446688888812161616161616242424242424242424323232324848484848
order1222448844234666412122424242444448888866121224888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111-11-11-1-1-1-11111-1-1-1-1-1
χ31111111111-11-11111111111-11-1111111-1-1-1-1-1-11-1-1
χ41111111111-11-11111111111-1-1-1-11-1-1-1-1-1-1-1-111-111
χ5111111-1-11111-1111111-1-1-1-1-1111-111-1-111-1-11-1-11-1
χ6111111-1-11111-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-111-11
χ7111111-1-111-111111111-1-1-1-111-11-111-1-1-1-111-11-1-11
χ8111111-1-111-111111111-1-1-1-11-1-1-1-1-1-111-1-1111-111-1
χ922222222222-12-1-1-12-1-1-1-1-1-1202020000-1-1-1-100000
χ102222222222-2-1-2-1-1-12-1-1-1-1-1-1-20-2020000111100000
χ11222222-2-2222-1-2-1-1-12-1-11111-2020-20000-1-11100000
χ12222222-2-222-2-12-1-1-12-1-1111120-20-2000011-1-100000
χ132222-2-20022020222-2-2-20000020-202-200000000000
χ142222-2-20022020222-2-2-200000-2020-2200000000000
χ1533333333-1-1303000-1000000-11-11-1-1-1-1-10000111-1-1
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
χ1833333333-1-1-30-3000-10000001-11-1-11111000011-1-1-1
χ19333333-3-3-1-130-3000-100000011-111-1-11100001-1-1-11
χ20333333-3-3-1-130-3000-10000001-1-1-1111-1-10000-1111-1
χ21333333-3-3-1-1-303000-1000000-11111-1-1110000-11-11-1
χ22333333-3-3-1-1-303000-1000000-1-11-1111-1-100001-11-11
χ234444-4-400440-20-2-2-2-4220000000000000000000000
χ2444-4-44-400000-202-2202-20000000000022−22000000000
χ2544-4-44-400000-202-2202-200000000000−2222000000000
χ2644-4-4-444i−4i00010-11-101-1ii−i−i000000000−i3i33−300000
χ2744-4-4-444i−4i00010-11-101-1ii−i−i000000000i3−i3−3300000
χ2844-4-4-444i−4i000-202-220-22−2i−2i2i2i000000000000000000
χ2944-4-4-44−4i4i00010-11-101-1−i−iii000000000−i3i3−3300000
χ3044-4-4-44−4i4i00010-11-101-1−i−iii000000000i3−i33−300000
χ3144-4-4-44−4i4i000-202-220-222i2i−2i−2i000000000000000000
χ324-4-440000-440404-4-40000000000000000000000000
χ334-4-440000-440-20-2220006−66−6000000000000000000
χ344-4-440000-440-20-222000−66−66000000000000000000
χ356666-6-600-2-20000002000000020-20-2200000000000
χ366666-6-600-2-200000020000000-20202-200000000000
χ3788-8-88-80000020-22-20-220000000000000000000000
χ388-88-8000000020-2-22000i6−i6−i6i6000000000000000000
χ398-88-8000000020-2-22000−i6i6i6−i6000000000000000000
χ408-88-80000000-4044-40000000000000000000000000
χ4112-12-121200004-40000000000000000000000000000000

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