Finite Group Databasebeta

← Group #10949239

Character table — Group #10949239

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222444444448888888888888816161616161616161616161616162424242424242424242424244848
order124423461212222444612244466666121212121244881212121212122424242422224444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111111111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1111-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-1-11-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1111-1-11-1-111-1-1-1-1-1-111111-1-1-11-1-1-111-1-111
χ8111111111111111111-1-1-1-111-1-1111-1-11-1-111-1-1-1-1-1-11111-1111-1111-1-111-1-1
χ911-1-111-11-1-1-111-1-111-11-11-11-1111-1-1-1-111-11-11-111-1-111-1-11-11-1-111-11-11-11-1
χ1011-1-111-11-1-1-111-1-111-11-11-11-1111-1-1-1-111-11-11-111-1-111-1-1-11-111-1-11-11-11-11
χ1111-1-111-11-1-1-111-1-111-11-11-11-1111-1-1-1-11-11-111-1-1-111-1-1111-1-11-11-111-11-1-11
χ1211-1-111-11-1-1-111-1-111-11-11-11-1111-1-1-1-11-11-111-1-1-111-1-111-111-11-11-1-11-111-1
χ1311-1-111-11-1-1-111-1-111-1-11-111-1-1-11-1-11111-1-11-1111-1-1-1-111111-1-1-11-11-1-11-11
χ1411-1-111-11-1-1-111-1-111-1-11-111-1-1-11-1-11111-1-11-1111-1-1-1-111-1-1-1111-11-111-11-1
χ1511-1-111-11-1-1-111-1-111-1-11-111-1-1-11-1-1111-111-1-11-1-11111-1-111-11-1-1-111-1-111-1
χ1611-1-111-11-1-1-111-1-111-1-11-111-1-1-11-1-1111-111-1-11-1-11111-1-1-1-11-1111-1-111-1-11
χ1722222222222-2-2-2-22220000-2200-2-2-2002000000000000000200020000-2-200
χ1822222222222-2-2-2-22220000-2200-2-2-2002000000000000000-2000-200002200
χ192222222222-22-22-2-2220000-2-20022-200-20000000000000020002000-2-20000
χ202222222222-22-22-2-2220000-2-20022-200-200000000000000-2000-2000220000
χ212222222222-2-22-22-22222-2-22-222-2-2222-20000-2-20000000000000000000000
χ222222222222-2-22-22-222-2-2222-2-2-2-2-22-2-2-20000220000000000000000000000
χ2322222-12-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ2422222-12-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000000000
χ2522222-12-1-1-1222222-1-1-2-2-2-2-1-111-1-1-111-122-2-211-1-1-1-1111100000000000000
χ2622222-12-1-1-1222222-1-1-2-2-2-2-1-111-1-1-111-1-2-222111111-1-1-1-100000000000000
χ2722222-12-1-1-1-2-22-22-2-1-122-2-2-11-1-111-1-1-110000113−33−33−33−300000000000000
χ2822222-12-1-1-1-2-22-22-2-1-122-2-2-11-1-111-1-1-11000011−33−33−33−3300000000000000
χ2922222-12-1-1-1-2-22-22-2-1-1-2-222-111111-11110000-1-13−33−3−33−3300000000000000
χ3022222-12-1-1-1-2-22-22-2-1-1-2-222-111111-11110000-1-1−33−333−33−300000000000000
χ3122-2-222-22-2-222-2-22-22-20000-22002-2200-2000000000000002000-2000-220000
χ3222-2-222-22-2-222-2-22-22-20000-22002-2200-200000000000000-200020002-20000
χ3322-2-222-22-2-22-222-2-22-22-2-222222-22-2-2-2-20000-220000000000000000000000
χ3422-2-222-22-2-22-222-2-22-2-222-222-2-2-22-222-200002-20000000000000000000000
χ3522-2-222-22-2-2-2-2-22222-20000-2-200-2220020000000000000002000-200002-200
χ3622-2-222-22-2-2-2-2-22222-20000-2-200-222002000000000000000-200020000-2200
χ3722-2-22-1-2-1112-222-2-2-112-2-22-1-1-1-11-1111100001-13−3−333−3−3300000000000000
χ3822-2-22-1-2-1112-222-2-2-112-2-22-1-1-1-11-1111100001-1−333−3−333−300000000000000
χ3922-2-22-1-2-1112-222-2-2-11-222-2-1-1111-11-1-110000-113−3−33−333−300000000000000
χ4022-2-22-1-2-1112-222-2-2-11-222-2-1-1111-11-1-110000-11−333−33−3−3300000000000000
χ4122-2-22-1-2-111-222-2-22-112-22-2-11-1-1-11111-12-22-2-11-1-111-1-11100000000000000
χ4222-2-22-1-2-111-222-2-22-112-22-2-11-1-1-11111-1-22-22-1111-1-111-1-100000000000000
χ4322-2-22-1-2-111-222-2-22-11-22-22-1111-111-1-1-12-2-221-1-1-11111-1-100000000000000
χ4422-2-22-1-2-111-222-2-22-11-22-22-1111-111-1-1-1-222-21-111-1-1-1-11100000000000000
χ4544444-24-2-2-24-4-4-4-44-2-200002-20022200-20000000000000000000000000000
χ4644444-24-2-2-2-44-44-4-4-2-200002200-2-220020000000000000000000000000000
χ474444-44-4444000000-4-40000000000000000000000000000002-200-22000000
χ484444-44-4444000000-4-4000000000000000000000000000000-22002-2000000
χ4944-4-44-2-4-22244-4-44-4-2200002-200-22-20020000000000000000000000000000
χ5044-4-44-2-4-222-4-4-4444-22000022002-2-200-20000000000000000000000000000
χ5144-4-4-4444-4-4000000-440000000000000000000000000000002200-2-2000000
χ5244-4-4-4444-4-4000000-44000000000000000000000000000000-2-20022000000
χ538888-8-4-8-4-4-400000044000000000000000000000000000000000000000000
χ5488-8-8-8-48-4440000004-4000000000000000000000000000000000000000000
χ558-88i−8i080-88i−8i00000000000000000000000000000000000000000000000000
χ568-88i−8i0-404−4i4i00000000000000−2i32i300023−2300000000000000000000000000000
χ578-88i−8i0-404−4i4i000000000000002i3−2i3000−232300000000000000000000000000000
χ588-8−8i8i080-8−8i8i00000000000000000000000000000000000000000000000000
χ598-8−8i8i0-4044i−4i00000000000000−2i32i3000−232300000000000000000000000000000
χ608-8−8i8i0-4044i−4i000000000000002i3−2i300023−2300000000000000000000000000000

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