Finite Group Databasebeta

← Group #11785475

Character table — Group #11785475

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888888888888888899991818363636363636363636367272727272727272
order12222244366666661212121212121212444444228888888888888888
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1
χ6111111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111
χ7111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ8111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ91111-1-11-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-111-1-111-1-1i−ii−ii−ii−i
χ101111-1-11-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-111-1-111-1-1−ii−ii−ii−ii
χ111111-1-11-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-111-1-111i−ii−i−ii−ii
χ121111-1-11-1111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-111-1-111−ii−iii−ii−i
χ131111-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111-1111-1-1-1-111i−i−iii−i−ii
χ141111-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111-1111-1-1-1-111−iii−i−iii−i
χ151111-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111-11-1-11111-1-1i−i−ii−iii−i
χ161111-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111-11-1-11111-1-1−iii−ii−i−ii
χ17222222222222222222222222-2-2-2-2-2-2-2-20000000000000000
χ18222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000
χ192222-2-22-2222-2-2-2-222222-2-2-2-22222-2-2-220000000000000000
χ202222-2-2-22222-2-2-2-22-2-2-2-222222222-2-22-20000000000000000
χ212-2-222-2002-2-222-2-220000000022-2-22-20000002i−2i2i−2i00000000
χ222-2-222-2002-2-222-2-220000000022-2-22-2000000−2i2i−2i2i00000000
χ232-2-222-2002-2-222-2-2200000000-2-222-22002-22-2000000000000
χ242-2-222-2002-2-222-2-2200000000-2-222-2200-22-22000000000000
χ252-2-22-22002-2-2-2-22220000000022-2-2-22002-2-22000000000000
χ262-2-22-22002-2-2-2-22220000000022-2-2-2200-222-2000000000000
χ272-2-22-22002-2-2-2-222200000000-2-2222-20000002i−2i−2i2i00000000
χ282-2-22-22002-2-2-2-222200000000-2-2222-2000000−2i2i2i−2i00000000
χ2944-4-4000044-40000-4000000004i−4i4i−4i00000000000000000000
χ3044-4-4000044-40000-400000000−4i4i−4i4i00000000000000000000
χ314-44-400004-440000-4000000004i−4i−4i4i00000000000000000000
χ324-44-400004-440000-400000000−4i4i4i−4i00000000000000000000
χ3388888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34888888-8-8-1-1-1-1-1-1-1-111111111000000000000000000000000
χ358888-8-88-8-1-1-11111-1-1-1-1-11111000000000000000000000000
χ368888-8-8-88-1-1-11111-11111-1-1-1-1000000000000000000000000
χ3788-8-80000-1-113-33-313i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ3888-8-80000-1-113-33-31−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ3988-8-80000-1-11-33-3313i3i−3i−3i−3i−3i3i3i000000000000000000000000
χ4088-8-80000-1-11-33-331−3i−3i3i3i3i3i−3i−3i000000000000000000000000
χ418-88-80000-11-13-3-3313i−3i3i−3i3i−3i3i−3i000000000000000000000000
χ428-88-80000-11-13-3-331−3i3i−3i3i−3i3i−3i3i000000000000000000000000
χ438-88-80000-11-1-333-313i−3i3i−3i−3i3i−3i3i000000000000000000000000
χ448-88-80000-11-1-333-31−3i3i−3i3i3i−3i3i−3i000000000000000000000000
χ458-8-888-800-111-1-111-13-3-333-3-33000000000000000000000000
χ468-8-888-800-111-1-111-1-333-3-333-3000000000000000000000000
χ478-8-88-8800-11111-1-1-13-3-33-333-3000000000000000000000000
χ488-8-88-8800-11111-1-1-1-333-33-3-33000000000000000000000000

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