Finite Group Databasebeta

← Group #10950430

Character table — Group #10950430

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122222444444488888888812121212121212121616161616161616161616161624242424323248484848
order12234462468812122244681224244444888824661212161624484848488888612441616
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1
χ611111111111111-1-1-1-11111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ711111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-111
χ811111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1
χ91111111-1-1111111-11-1-1-1-11111-1-111-1-11-11-11-11-1-111-1-111-1-11-11-11-1
χ101111111-1-1111111-11-1-1-1-11111-1-111-1-1-111-11-1-11-1-1-11111-1-1-11-11-11
χ111111111-1-1111111-11-1-1-1-111-1-111-1-1111-11-11-11-1-111-1-1-1-1111-1-11-11
χ121111111-1-1111111-11-1-1-1-111-1-111-1-111-111-11-1-11-1-1-111-1-111-111-11-1
χ131111111-1-111111-11-11-1-1-11111-1-111-1-11-1-11-11-11-1-1-111-1-1111-11-1-11
χ141111111-1-111111-11-11-1-1-11111-1-111-1-1-11-11-111-1-111-1-1-1-111-11-111-1
χ151111111-1-111111-11-11-1-1-111-1-111-1-1111-1-11-11-11-1-1-11111-1-11-1-111-1
χ161111111-1-111111-11-11-1-1-111-1-111-1-111-11-11-111-1-111-1-111-1-1-111-1-11
χ172222222222-2-22200002-22-2-22222-2-2-2-200000000-200000000000000
χ182222222222-2-22200002-22-2-2-2-2-2-2222200000000-200000000000000
χ192222222-2-22-2-2220000-22-2-2-222-2-2-2-22200000000200000000000000
χ202222222-2-22-2-2220000-22-2-2-2-2-22222-2-200000000200000000000000
χ21222-122-122-122-1-12222-12-1-1-10000000022-1-1-1-122-1-1-1-1-10000-1-10000
χ22222-122-122-122-1-12222-12-1-1-100000000-2-2-1-1-1-1-2-2-111110000110000
χ23222-122-122-122-1-1-2-2-2-2-12-1-1-100000000221111-2-2-111110000-1-10000
χ24222-122-122-122-1-1-2-2-2-2-12-1-1-100000000-2-2111122-1-1-1-1-10000110000
χ25222-122-1-2-2-122-1-12-22-21-21-1-1000000002-2-11-112-21-1-1110000-110000
χ26222-122-1-2-2-122-1-12-22-21-21-1-100000000-22-11-11-22111-1-100001-10000
χ27222-122-1-2-2-122-1-1-22-221-21-1-1000000002-21-11-1-22111-1-10000-110000
χ28222-122-1-2-2-122-1-1-22-221-21-1-100000000-221-11-12-21-1-11100001-10000
χ2922-222-2200-22-2-22020-20002-2002i−2i002i−2i00020-200000002i−2i00000000
χ3022-222-2200-22-2-22020-20002-200−2i2i00−2i2i00020-20000000−2i2i00000000
χ3122-222-2200-22-2-220-2020002-2002i−2i002i−2i000-2020000000−2i2i00000000
χ3222-222-2200-22-2-220-2020002-200−2i2i00−2i2i000-20200000002i−2i00000000
χ3322-222-2200-2-22-2220-20000-22002i−2i00−2i2i0020-200000000002i−2i000000
χ3422-222-2200-2-22-2220-20000-2200−2i2i002i−2i0020-20000000000−2i2i000000
χ3522-222-2200-2-22-22-2020000-22002i−2i00−2i2i00-2020000000000−2i2i000000
χ3622-222-2200-2-22-22-2020000-2200−2i2i002i−2i00-20200000000002i−2i000000
χ374444-4-444-4400-4-4000040-4000000000000000000000000000000000
χ384444-4-44-44400-4-40000-404000000000000000000000000000000000
χ39444-244-244-2-4-4-2-20000-2-4-2220000000000000000200000000000000
χ40444-244-2-4-4-2-4-4-2-20000242220000000000000000-200000000000000
χ41444-2-4-4-24-4-200220000-2020000000000000000000i6−i6i6−i60000000000
χ42444-2-4-4-24-4-200220000-2020000000000000000000−i6i6−i6i60000000000
χ43444-2-4-4-2-44-20022000020-20000000000000000000i6−i6−i6i60000000000
χ44444-2-4-4-2-44-20022000020-20000000000000000000−i6i6i6−i60000000000
χ4544-44-44400-4004-400000000000004-40000000000000000000000000
χ4644-44-44400-4004-40000000000000-440000000000000000000000000
χ4744-4-24-4-20024-42-2040-4000-2200000000000-20200000000000000000
χ4844-4-24-4-20024-42-20-404000-220000000000020-200000000000000000
χ4944-4-24-4-2002-442-240-400002-20000000000-202000000000000000000
χ5044-4-24-4-2002-442-2-40400002-2000000000020-2000000000000000000
χ5188-8-4-88-400400-440000000000000000000000000000000000000000
χ528-80800-800000000000000004i−4i00000000000000000000000000000
χ538-80800-80000000000000000−4i4i00000000000000000000000000000
χ5416-160-800800000000000000000000000000000000000000000000000

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