Finite Group Databasebeta

← Group #11713402

Character table — Group #11713402

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444466668888812121212161616161616242424242424242424242432323232484848
order122244448822443466622881212242424242444444888812121212488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111111-11-1-1-1-1-11-1-1-11111-1-1-1
χ311111111-1-111111-1111111111-1-1-1-11-1111-1-1-1111-1-111-1-1-1
χ411111111-1-111111-111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ5111111-1-11111111-1111-1-1111111111-11-1-11111-1-1-1-1-1-1-11-1
χ6111111-1-11111111-1111-1-1-1-1111111-1-1-111-1-11-111-1-1-1-11-11
χ7111111-1-1-1-1111111111-1-11111-1-1-1-1111-1-1-1-1-11-1-111-1-11-11
χ8111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-11-11111-1-11111-1-1-11-1
χ922222222222222-12-1-1-12200-1-1-1-1-1-102000002000-1-1-1-1000
χ1022222222-2-22222-1-2-1-1-12200-1-111110-200000-200011-1-1000
χ11222222-2-2222222-1-2-1-1-1-2-200-1-1-1-1-1-10-20000020001111000
χ12222222-2-2-2-22222-12-1-1-1-2-200-1-111110200000-2000-1-111000
χ132222-2-20000-2-222202220022-2-2000020-200000-2000000000
χ142222-2-20000-2-2222022200-2-2-2-20000-202000002000000000
χ152-2-222-200002-2-2220-2-220000-2200000002-200002-20000000
χ162-2-222-200002-2-2220-2-220000-220000000-220000-220000000
χ172-2-22-222-200-22-2220-2-222-2002-2000000000000000002-2000
χ182-2-22-222-200-22-22-1011-12-200-1133−3−3000000000003−3-11000
χ192-2-22-222-200-22-22-1011-12-200-11−3−33300000000000−33-11000
χ202-2-22-22-2200-22-2220-2-22-22002-200000000000000000-22000
χ212-2-22-22-2200-22-22-1011-1-2200-1133−3−300000000000−331-1000
χ222-2-22-22-2200-22-22-1011-1-2200-11−3−333000000000003−31-1000
χ233333333333-1-1-1-103000-1-111000000-1-1-1-1-111-11110000-1-11
χ243333333333-1-1-1-103000-1-1-1-10000001-1111-1-1-1-1-1-1000011-1
χ2533333333-3-3-1-1-1-10-3000-1-111000000-11-1-1-1-1-11111000011-1
χ2633333333-3-3-1-1-1-10-3000-1-1-1-100000011111111-1-1-10000-1-11
χ27333333-3-333-1-1-1-10-30001111000000-11-11111-11-1-100001-1-1
χ28333333-3-333-1-1-1-10-300011-1-1000000111-1-1-1-1-1-1110000-111
χ29333333-3-3-3-3-1-1-1-1030001111000000-1-1-111-1-111-1-10000-111
χ30333333-3-3-3-3-1-1-1-10300011-1-10000001-11-1-1111-11100001-1-1
χ314444-4-40000-4-444-20-2-2-20000220000000000000000000000
χ324-44-4000022−220000-20-22200−2i22i2002−22−2000002i−2i00000000000
χ334-44-4000022−220000-20-222002i2−2i2002−22−200000−2i2i00000000000
χ344-44-40000−22220000-20-22200−2i22i200−22−2200000−2i2i00000000000
χ354-44-40000−22220000-20-222002i2−2i200−22−22000002i−2i00000000000
χ364-4-444-400004-4-44-2022-200002-20000000000000000000000
χ376666-6-6000022-2-2000000022000000-20200000-2000000000
χ386666-6-6000022-2-20000000-2-200000020-2000002000000000
χ396-6-666-60000-222-20000000000000000002-20000-220000000
χ406-6-666-60000-222-2000000000000000000-2200002-20000000
χ416-6-66-666-6002-22-200000-2200000000000000000000000000
χ426-6-66-66-66002-22-2000002-200000000000000000000000000
χ4388-8-8000000000020-22-20000006−6−66000000000000000000
χ4488-8-8000000000020-22-2000000−666−6000000000000000000
χ4588-8-80000000000-404-440000000000000000000000000000
χ468-88-8000042−420000202-2-2000000−22−22000000000000000000
χ478-88-80000−42420000202-2-20000002−22−2000000000000000000

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